Tunable Models

Models with tunable or parametric coefficients

Tunable Generalized LTI models represent systems having both fixed and tunable (or parametric) coefficients. Use Control Design Blocks to represent tunable components of your control system. Combine them with Numeric LTI models to create tunable Generalized LTI models. For an example, see Control System with Tunable Components.

You can use tunable Generalized LTI models to:

Model a tunable (or parametric) component of a control system, such as a tunable low-pass filter.
Model a control system that contains both:
- Fixed components, such as plant dynamics and sensor dynamics
- Tunable components, such as filters and compensators
Tuning control systems to design goals you specify, using tuning commands such as systune or the Control System Tuner app.

Functions

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Control Design Blocks

`tunableGain`	Tunable static gain block
`tunablePID`	Tunable PID controller
`tunablePID2`	Tunable two-degree-of-freedom PID controller
`tunableSS`	Tunable fixed-order state-space model
`tunableTF`	Tunable transfer function with fixed number of poles and zeros
`realp`	Real tunable parameter
`AnalysisPoint`	Points of interest for linear analysis

Generalized Models

`genss`	Generalized state-space model
`genfrd`	Generalized frequency response data (FRD) model
`genmat`	Generalized matrix with tunable parameters

Analysis

`getLoopTransfer`	Open-loop transfer function of control system
`getIOTransfer`	Closed-loop transfer function from generalized model of control system
`getSensitivity`	Sensitivity function from generalized model of control system
`getCompSensitivity`	Complementary sensitivity function from generalized model of control system

Access Blocks and Values

`getPoints`	Get list of analysis points in generalized model of control system
`replaceBlock`	Replace or update Control Design Blocks in Generalized LTI model
`sampleBlock`	Sample Control Design blocks in generalized model
`rsampleBlock`	Randomly sample Control Design blocks in generalized model
`getValue`	Current value of Generalized Model
`setValue`	Modify current value of Control Design Block
`getBlockValue`	Current value of Control Design Block in Generalized Model
`setBlockValue`	Modify value of Control Design Block in Generalized Model
`showBlockValue`	Display current value of Control Design Blocks in Generalized Model
`showTunable`	Display current value of tunable Control Design Blocks in Generalized Model
`nblocks`	Number of blocks in Generalized matrix or Generalized LTI model
`getLFTModel`	Decompose generalized LTI model

Topics

Generalized Models

Generalized models represent systems having a mixture of fixed coefficients and tunable or uncertain coefficients.

Models with Tunable Coefficients

Use tunable models to model tunable components of control systems for parameter sampling or control system tuning.

Tunable Low-Pass Filter

Represent a transfer function with a tunable parameter.

Create Tunable Second-Order Filter

Represent a transfer function with multiple tunable parameters.

Create State-Space Model with Both Fixed and Tunable Parameters

Represent state-space matrices that have a mix of fixed and tunable parameters.

Control System with Tunable Components

Build a control-system model for tuning using both tunable and fixed components.

Control System with Multichannel Analysis Points

Build a control-system model with analysis points for extracting responses at different points in the system.

Mark Signals of Interest for Control System Analysis and Design

Analysis points allow you to access to internal signals, perform open-loop analysis, or specify requirements for controller tuning in systems modeled in either MATLAB^® or Simulink^®.