Generalized Models

Generalized and Uncertain LTI Models

Generalized LTI Modelsrepresent systems having a mixture of fixed coefficients and tunable or uncertain coefficients. Generalized LTI models arise from combining numeric LTI models with Control Design Blocks. For more information about tunable Generalized LTI models and their applications, seeModels with Tunable Coefficients.

Uncertain LTI Models是一种特殊类型的广义线性时不变模型吗nclude uncertain coefficients but not tunable coefficients. For more information about using uncertain models, seeUncertain State-Space Models(Robust Control Toolbox)andCreate Uncertain Frequency Response Data Models(Robust Control Toolbox).

Family	Model Type	Description
Generalized LTI Models	`genss`	Generalized LTI model arising from combination of Numeric LTI models (except`frd`models) with Control Design Blocks
Generalized LTI Models	`genfrd`	Generalized LTI model arising from combination`frd`models with Control Design Blocks
Uncertain LTI Models(requires Robust Control Toolbox™ software)	`uss`(Robust Control Toolbox)	Generalized LTI model arising from combination of Numeric LTI models (except`frd`models) with uncertain Control Design Blocks
	`ufrd`(Robust Control Toolbox)	Generalized LTI model arising from combination`frd`models with uncertain Control Design Blocks

Control Design Blocks

Control Design Blocksare building blocks for constructing tunable or uncertain models of control systems. Combine tunable Control Design Blocks with numeric arrays or Numeric LTI models to create Generalized Matrices or Generalized LTI models that include both fixed and tunable components.

Tunable Control Design Blocks include tunable parameter objects as well as tunable linear models with predefined structure. For more information about using tunable Control Design Blocks, seeModels with Tunable Coefficients.

If you have Robust Control Toolbox software, you can use uncertain Control Design Blocks to model uncertain parameters or uncertain system dynamics. For more information about using uncertain blocks, seeUncertain LTI Dynamics Elements(Robust Control Toolbox),Uncertain Real Parameters(Robust Control Toolbox), andUncertain Complex Parameters and Matrices(Robust Control Toolbox).

The following tables summarize the available types of Control Design Blocks.

Dynamic System Model Control Design Blocks

Family	Model Type	Description
Tunable Linear Components	`tunableGain`	Tunable gain block
	`tunableTF`	SISO fixed-order transfer function with tunable coefficients
	`tunableSS`	Fixed-order state-space model with tunable coefficients
	`tunablePID`	One-degree-of-freedom PID controller with tunable coefficients
	`tunablePID2`	Two-degree-of-freedom PID controller with tunable coefficients
Uncertain Dynamics(requires Robust Control Toolbox software)	`ultidyn`(Robust Control Toolbox)	Uncertain linear time-invariant dynamics
	`umargin`(Robust Control Toolbox)	Uncertain gain and phase
	`udyn`(Robust Control Toolbox)	Unmodeled dynamics
Analysis Point Block	`AnalysisPoint`	Points of interest for linear analysis or control system tuning

Static Model Control Design Blocks

Family	Model Type	Description
Tunable Parameter	`realp`	Tunable scalar parameter or matrix
Uncertain Parameters(requires Robust Control Toolbox software)	`ureal`(Robust Control Toolbox)	Uncertain real scalar
	`ucomplex`(Robust Control Toolbox)	Uncertain complex scalar
	`ucomplexm`(Robust Control Toolbox)	Uncertain complex matrix

Generalized Matrices

Generalized Matricesextend the notion of numeric matrices to matrices that include tunable or uncertain values.

Create tunable generalized matrices by building rational expressions involvingrealpparameters. You can use generalized matrices as inputs totforssto create tunable linear models with structures other than the predefined structures of the Control Design Blocks. Use such models for parameter studies or some compensator tuning tasks.

If you have Robust Control Toolbox software, you can create uncertain matrices by building rational expressions involving uncertain parameters such asureal(Robust Control Toolbox)orucomplex(Robust Control Toolbox).

Model Type	Description
`genmat`	Generalized matrix that includes parametric or tunable entries
`umat`(Robust Control Toolbox)(requires Robust Control Toolbox software)	Generalized matrix that includes uncertain entries

For more information about generalized matrices and their applications, seeModels with Tunable Coefficients.