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1 Getting Started
1.1 Setting Up the MapleSim Connector
To generate an S-function block and have Maple communicate with MATLAB® you have to establish a connection with MATLAB®.
To set up the MapleSim Connector
Start Maple.
Enter the following command to establish a connection with MATLAB®.
MatlabevalMsimulink;
A MATLAB® command window opens and the connection is established. If the window does not open, follow the instructions in the Matlab/setup help page in the Maple help system to configure the connection.
Next, set up the MATLAB® mex compiler. Go to the MATLAB® command window and enter the following setup command:
mex -setup
Follow the instructions to choose a local C compiler that supports ANSI (American National Standards Institute) C code. See the MapleSimConnector,setup help page for more information.
You are now ready to use the MapleSim Connector.
1.2 Getting Help
Refer to the MapleSimConnector help page in the Maple help system.
1.3 Using the Simulink® Component Block Generation App
The MapleSim Connector provides a Simulink® Component Block Generation app in the form of a Maple worksheet for manipulating and exporting MapleSim subsystems. This app contains pre-built embedded components that allow you to generate S-function or C code from a MapleSim subsystem, export the subsystem as a Simulink® block, and save the source code.
Using this app, you can define inputs and outputs for the system, set the level of code optimization, choose the format of the resulting S-function, and generate the source code, library code, block script, or Simulink® block. You can use any Maple commands to perform task analysis, assign model equations to a variable, group inputs and outputs to a single vector and define additional input and output ports for variables.
Note: Code generation can handle all systems modeled in MapleSim, including hybrid systems with defined signal input (RealInput) and signal output (RealOutput) ports.
The S-Function Block Generation consists of the following steps:
Subsystem Preparation
Subsystem Selection
Port and Parameter Management
S-Function Options
Generate S-Function
View S-Function
Convert your model or part of your model into a subsystem. This identifies the set of modeling components that you want to export as a block component. Since Simulink® only supports data signals, properties on acausal connectors such as mechanical flanges and electrical pins, must be converted to signals using the appropriate ports.
To connect a subsystem to modeling components outside of its boundary, you add subsystem ports. A subsystem port is an extension of a component port in your subsystem. The resulting signals can then be directed as inputs and outputs for MapleSim™ Connector App.
Note: For connectors you must use signal components, since acausal connectors can not be converted to a signal.
By creating a subsystem you not only improve the visual layout of a system in Model Workspace but also prepare the model for export. The following examples in this section show you how to group all of the components into a subsystem.
You can select which subsystems from your model you want to export to a Simulink® block. After a subsystem is selected, click Load Selected Subsystem. All defined input and output ports are loaded.
Inputs, Outputs, and Parameter Configuration
The Configuration section lets you customize, define and assign parameter values to specific ports. Subsystem components to which you assign the parameter inherit a parameter value defined at the subsystem level. After the subsystem is loaded you can group individual input and output variable elements into a vector array, and add additional input and output ports for customized parameter values. Input ports can include variable derivatives, and output ports can include subsystem state variables.
Note: If the parameters are not marked for export they will be numerically substituted.
The following selections specify the input ports, output ports, and states for generating Simulink® blocks.
Select Group all inputs into a single vector to create a single 'vector' input port for all of the input signals instead of individual ports. The order of the inputs are the same as given in the S-function mask window.
Select Group inputs into a bus to have the S-function accept a bus signal as input.
Select Add additional inputs for required input variable derivatives to specify calculated derivative values instead of numerical approximations.
Select Group all outputs into a single vector to define outputs as an S-Function 'mask'.
Select Group outputs into a bus to have the S-function return a bus signal output.
Select Add an additional output port for subsystem state variables to add extra output ports for the state variables.
Select Group all parameters into a single vector to create a single parameter 'vector' for all of the parameters in the S-function. If not selected, the S-function mask will contain one parameter input box for each of the S-function parameters.
Select Generate m-script for assigning parameters to generate an initialization m-file with the system parameters.
Select Group all parameters into a nested structure to specify the parameters as a nested MATLAB structure. Use the textbox to define the name of the top-level parameter structure. Selecting this option will automatically disable the Generate m-script for assigning parameters option.
Select Export to have selected parameters exported.
Code Export Options
The Code Export Options settings in the Configuration section specify the advanced options for the code generation process.
Constraint Handling Options
The Constraint Handling Options area specifies whether the constraints are satisfied in a DAE system by using constraint projection in the generated Simulink® block. Use this option to improve the accuracy of a DAE system that has constraints. If the constraint is not satisfied, the system result may deviate from the actual solution and could lead to an increase in error at an exponential rate.
Set the Max projection iterations to specify the maximum number of times that a projection is permitted to iterate to obtain a more accurate solution.
Set the Error tolerance to specify the desirable error tolerance to achieve after the projection.
Select Apply projection during event iterations to interpolate iterations to obtain a more accurate solution.
Constraint projection is performed using the constraint projection routine in the External Model Interface as described on The MathWorks™ web site to control the drift in the result of the DAE system.
Event Handling Options
The Event Handling Options area specifies whether the events are satisfied in a DAE system by using event projection in the generated Simulink® block. Use this option to improve the accuracy of a DAE system with events. If the constraint is not satisfied, the system result may deviate from the actual solution and could lead to an increase in error at an exponential rate.
Set the Max event iterations to specify the maximum number of times that a projection is permitted to iterate to obtain a more accurate solution.
Set the Width of event hysteresis band to specify the desirable error tolerance to achieve after the projection.
Baumgarte Constraint Stabilization
The Baumgarte constraint stabilization method stabilizes the position constraint equations, by combining the position, velocity, and acceleration constraints into a single expression. By integrating the linear equation in terms of the acceleration, the Baumgarte parameters, alpha and beta, act to stabilize the constraints at the position level.
Apply Baumgarte constraint stabilization: Apply the Baumgarte constraint stabilization.
Export Baumgarte parameters: Add Alpha and Beta as parameters in the generated code.
Alpha: Set the derivative gain for Baumgarte constraint stabilization.
Beta: Set the proportional gain for Baumgarte constraint stabilization.
Table Handling Options
Select Export lookup tables as external .CSV files to generate a comma-separated values (CSV) file with the values for your lookup tables. You can then change the values in your lookup table without having to recompile your code. The updated values are read at run-time.
Fixed-Step Integrator Options
Select Optimize for use with fixed-step integrators to optimize events handling and relax the inconsistencies detection tolerance. Select Add Failure Handling to reinitialize the model on failure, and then select one of the following re-initialization options:
Re-initialize to initial point: Reinitialize the model to the initial values when a failure happens.
Hold to previous successful step: Reinitialize the model to the values at the end of the last successful step.
Note: Failure handling is only available for Simulink® fixed-step integration.
Discretization
Select Export as a discrete model (no continuous states) to apply discretization to your model. When selected, you can select a solver type from one of the following options:
Euler: forward Euler method
RK2: second-order Runge-Kutta method
RK3: third-order Runge-Kutta method
RK4: fourth-order Runge-Kutta method
Implicit Euler: implicit Euler method
In this section, you can also set the Discrete step size (in seconds) for the discretization.
Select Allow intermediate steps between fixed steps if you want to trigger events inside a fixed step (instead of at the end of the fixed step). Your solver must be either Euler or Implicit Euler. After selecting this option, enter the following settings:
Number of intermediate steps: The maximum number of intermediate steps you want to take inside the fixed step.
Tolerance: The proportion of the current step size that the solver is allowed to overshoot so as to catch more than one close-firing event. Generally, enter a smaller tolerance for models that are fairly linear between steps and a larger tolerance for solutions that are far from linear.
Export code to work with single-precision floating point: Select this option to have internal calculations done in single-precision rather than double-precision. Further, some of the criteria for MapleSim solvers are adjusted to work with the lower precision.
Note: You will need to configure Simulink to properly run a single-precision S-Function.
Diagnostic Options
Select Add outputs for log(stepsize), event and constraint iterations, and constraint residual to provide run-time diagnostics in the generated Simulink® block. This adds four outputs to the bottom of the Simulink® block: LogStepSize(t), EventIterations(t), ConstraintIterations(t), and ConstraintResidual(t).
Export
Provide a name, specify the location for the generated file and click Generate S-Function Code.
Note: If your model contains an external library, then you must add the directory that contains the external library to your search path. See Adding External Libraries to Your Search Path for instructions on how to do this.
View Code
After you generate the S-Function code and run the block a MATLAB® command window opens and the block with any of the following specified parameters is generated in Simulink®:
Block Generation Script
C Code
Parameter Script
1.4 Viewing MapleSim Connector Examples
Toolbox examples are available in MapleSim.
To view an example:
From the Help menu, select the Examples > MapleSim Connector Examples menu, and then click the entry for the model that you want to view.
Note: Some models include additional documents, such as templates that display model equations or define custom components.
In the Attached Files tab ( ), expand Documents. You can open any of these documents by right-clicking (Control-clicking for Mac) its entry in the list and selecting View. After you add a template to a model, it will be available from this list.
1.5 Example: RLC Circuit Model
In this example, you will generate a Simulink® block from an RLC circuit model that was created in MapleSim.
To generate an S-function block
From the Help menu, select Examples > MapleSim Connector Examples, and then select the RLC Parallel Circuit.
Select the Add Apps or Templates tab ( ).
Double-click on the Simulink® Component Block Generation entry under Simulink in the Apps palette. The Analysis window opens with the Simulink® Component Block Generation app loaded in the Apps tab.
In the Subsystem Selection section, select Main > RLC.
Click Load Selected Subsystem. All of the fields are populated with information specific to the RLC subsystem.
Note: By default, all parameters in the model are kept as configurable parameters.
In the Export section, specify the directory to save the generated files to.
Click Generate S-Function Code to generate the S-function code and create the block.
Note: Generating a block may require a few minutes.
8. Open the .m file in MATLAB® and run the code to open the block in Simulink®.
Double-click on the block to open the Parameter Mask dialog box that contains the symbolic parameters from the original model (see the following figure).
You can set parameters for the block from this mask. For 2016.2 and later versions of the MapleSim Connector, the two Extended Visualization Data parameters are used to create data files that can be imported back into MapleSim. This lets you see view the results from executing the block in MapleSim (see the following section, Enabling Extended Visualization Data, for details).
This block can now be connected with any compatible Simulink® blocks.
1.6 Enabling Extended Visualization Data
For 2016.2 and later versions of the MapleSim Connector, there are two Extended Visualization Data parameters in the Parameter Mask dialog box for the generated block. These extended visualization parameters are used to generate simulation results (that is, plots and 3-D animations) that can be imported back into MapleSim. To generate extended visualization data, enter the following parameters in the Parameter Mask dialog.
Extended Visualization Data - File Name: Enter a file name with a .bin file extension for the extended visualization data file.The extended visualization data file is necessary in order to import the Simulink® simulation results into MapleSim. Leave this field blank if you do not want to generate extended visualization data.
Extended Visualization Data - Minimum Sample Step: Enter the minimum sample step, in seconds, for the visualization data in the .bin file. The default value is 1/40 of a second. This sample step is used for both plots and 3-D animations (for 3-D models). For example, a sample step of 1/40 of a second generates plot points every 1/40 of a second and gives you a frame rate of 40 frames per second in your 3-D animation. Smaller values for the minimum step size give higher resolution plots and animations, but may result in larger .bin files. Set this to 0 to store all the visualization data generated by Simulink®.
After you execute your block in Simulink®, the extended visualization data file is created in the same directory that your Simulink® model is in. See MapleSim > Using MapleSim > Simulating a Model > Importing FMU or Simulink(R) S-function Results in the MapleSim help system for information on how to import these results into MapleSim.
Note: For best results, set the solver type and error tolerances settings in Simulink® to match the settings you have in the original MapleSim model.
1.7 Preparing a Model for Export
In this example, you will perform the steps required to prepare a slider-crank mechanism model and export it as an S-function block:
1. Convert the slider-crank mechanism model to a subsystem.
2. Define subsystem inputs and outputs.
3. Define and assign subsystem parameters.
4. Export the model using the Simulink® Component Block Generation app.
5. Implement the S-function block in Simulink®.
Note: The following tutorial will take you through these steps in detail. Before starting this tutorial, you must set up MATLAB® and the mex compiler. For more information, see the MapleSimConnector,setup help page for more information.
To open the slider-crank mechanism example
In MapleSim, click the Help menu item.
Select Examples > User's Guide Examples > Chapter 6, and then select Planar Slider-Crank Mechanism.
Converting the Model to a Subsystem
By converting your entire model or part of your model into a subsystem, you identify which parts of the model that you want to export. In this example, you will prepare the system for export by grouping all of the components into a subsystem.
To convert the model to a subsystem:
1. Draw a box around all of the components in the model by dragging your mouse over them.
2. From the Edit menu, select Create Subsystem. The Create Subsystem dialog box appears.
3. Enter SliderCrank as the subsystem name.
4. Click OK. A SliderCrank subsystem block appears in the Model Workspace.
Defining Subsystem Inputs and Outputs
MapleSim uses a topological representation to connect interrelated components without having to consider how signals flow between them, whereas traditional signal-flow modeling tools require explicitly defined system inputs and outputs. Since Simulink® only supports data signals, properties on acausal ports, such as mechanical flanges and electrical pins, must be converted to signals using the appropriate components. The resulting signals are directed as inputs and outputs for the subsystem in MapleSim and for the S-function block.
Note: Currently, code generation is limited to subsystems with defined signal input (RealInput) and signal output (RealOutput) ports.
In this example, you will convert the displacements of the slider and the joint between the crank and connecting rod to output signals. The input signal needs to be converted to a torque that is applied to the revolute joint that represents the crank shaft.
To convert the system signals:
Double-click the subsystem block to view its contents. In this view, the broken line indicates the subsystem boundary. You can edit the connection lines and components within the boundary, and add subsystem ports to connect the subsystem to other components.
Delete the probes that are attached to the model.
In the Library Components tab ( ) on the left side of the MapleSim window, expand the Multibody palette and then expand the Sensors submenu.
Drag the Absolute Translation component to the Model Workspace and place it below the Prismatic Joint component.
Right-click (Control-click for Mac) the Absolute Translation component and select Rotate Counterclockwise.
From the Signal Blocks > Routing > Demultiplexers menu, drag a Real Demultiplexer component to the Model Workspace and place it to the right of the Absolute Translation component.
To connect the Absolute Translation component to the model, click the frame_b connector. The frame is highlighted in green when you hover your pointer over it.
Draw a vertical line and click the connection line directly above the component. The sensor is connected to the rest of the diagram.
In the same way, connect the r output port (TMOutputP) of the Absolute Translation component to the demultiplexer Real input signal (u) port. This is the displacement signal from the sensor in x, y, and z coordinates. Since the slider only moves along the x axis, the first coordinate needs to be an output signal.
Hover your pointer over the first demultiplexer port and click your mouse button once.
Drag your pointer to the subsystem boundary and then click the boundary once. A real output port is added to your subsystem.
Add another Absolute Translation component above the Connecting Rod subsystem.
Right-click (Control-click for Mac) the Absolute Translation component and select Flip Vertical. Right-click the Absolute Translation component again and select Rotate Clockwise.
Add a Real Demultiplexer component to the right of the sensor and connect the components as shown below.
Note: Since the crank is moving in the x-y plane, you only need to output the first two signals.
You will now add a real input port to your subsystem to control the torque on the crank shaft.
From the 1-D Mechanical > Rotational > Torque Drivers menu, add a Torque component to the Model Workspace and place it above the Fixed Frame component.
Connect the white flange of the Torque component to the white flange of the leftmost Revolute Joint.
Click the input port of the Torque component, then drag your pointer to the subsystem boundary and click the boundary once. A real input port is added to your subsystem.
The complete subsystem appears below.
Click Main ( ) in the Model Workspace toolbar browse to the top level of the model.
From the Signal Blocks > Sources > Real menu, drag a Constant source into the Model Workspace and connect its output port to the input port of the SliderCrank subsystem as shown below.
Click Attach probe ( ) in the Model Workspace toolbar and then click the top output port of the SliderCrank subsystem.
Drag the probe to an empty location on the Model Workspace, and then click the workspace to position the probe.
In the same way, add probes to the other SliderCrank output ports as shown below.
Define and Assign Subsystem Parameters
You can define custom parameters that can be used in expressions in your model to edit values more easily. To do so, you define a parameter with a numeric value in the parameter editor. You can then assign that parameter as a variable to the parameters of other components; those individual components will then inherit the numeric value of the parameter defined in the parameter editor. By using this approach, you only need to change the value in the parameter editor to change the parameter values for multiple components.
To edit parameters
Double-click on the SliderCrank subsystem, and then click Parameters ( ) in the Model Workspace toolbar. The parameter editor appears.
In the first Name field, enter CrankL and press Enter.
Enter 1 in the Default Value field of CrankL, and then enter Length of the crank in the Description field.
In the second row of the table, enter ConRodL in the Name field and press Enter.
Enter 2 in the Default Value field of ConRodL, and then enter Length of the connecting rod in the Description field.
Click Diagram View ( ) to switch to the diagram view, and then click Main ( ).
Select the SliderCrank subsystem. The parameters are defined in the Properties tab ( ).
Double-click the SliderCrank subsystem, and then select the Crank subsystem.
In the Properties tab ( ), change the length value (L) to CrankL. The Crank subsystem now inherits the numeric value of CrankL that you defined.
Select the ConnectingRod subsystem and change its length value to ConRodL.
Click Main ( ) in the Model Workspace toolbar to navigate to the top level of the model.
You will include these parameter values in the model that you export. You are now ready to convert your model to an S-function block.
Exporting Your Model Using the Simulink® Component Block Generation App
After preparing the model, you can use the Simulink® Component Block Generation app to set export options and convert the model to an S-function block.
To export your model:
Double-click on the Simulink® Component Block Generation entry in the Apps palette. The Analysis window opens with the Simulink® Component Block Generation app loaded in the Apps tab.
In the Subsystem Selection section, select the SliderCrank subsystem from the drop-down list, and then click Load Selected Subsystem. All of the fields are populated with information specific to the subsystem.
In the Configuration section, select Parameters, and then select the ConRodL parameter that you defined in the previous section.
Note: The Export option for this parameter is selected by default. Also, by default, all input ports, output ports, and parameters in the model are kept as configurable parameters.
Open the .m file in MATLAB® and run the code to open the block in Simulink®.
Implement the S-Function Block in Simulink®
In Simulink®, you can connect your block to other compatible blocks, specify initial conditions, and edit the component parameter values.
To implement the S-Function block
In Simulink®, double-click the block. The Parameter Mask dialog box appears. This dialog box displays the ConRodL and CrankL parameters that you defined in MapleSim as a vector. The text in the dialog describes each parameter in the order they appear in the vector. Initial conditions can also be changed in this dialog box.
Click Help. This window provides a model description and information about the inputs, outputs, parameters, and initial conditions.
All inputs and outputs are implemented as vector signals. To access individual signals in Simulink®, use a Mux block for inputs and a Demux block for outputs.
Note: The extended visualization data parameters are used to generate a simulation results data file that can be imported into MapleSim with the simulation results generated by Simulink® into MapleSim. See Enabling Extended Visualization Data for more information on these parameters.
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