PS State-Space

R2026b

Implement linear state-space system

Since R2025a

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  • PS State-Space block

Libraries:
Simscape / Foundation Library / Physical Signals / Linear Operators

Description

The PS State-Space block implements a state-space representation of the linear time-invariant system, defined by equations:

Ex˙=Ax+Bu,y=Cx+Du,

where:

  • x is the dimensionless state vector.

  • u is the input vector.

  • y is the output vector.

  • E is the descriptor matrix.

  • A is the state matrix.

  • B is the input matrix.

  • C is the output matrix.

  • D is the feedthrough, or direct transmission matrix.

The state-space model provides a compact and efficient way to represent and analyze systems with multiple inputs and outputs. This model is particularly useful for control design and simulation of dynamic systems.

You can define matrices in your workspace and then use these workspace variables as block parameters.

Examples

Heat Sink Using PS State-Space Block

Heat Sink Using PS State-Space Block

Use the PS State-Space block to model a heat sink in air. The heat sink represents rods with distributed masses along their lengths. One end of each rod is fixed to a base and undergoes conduction. Heat conducts along the length of each rod. The length of each rod is also exposed to air and undergoes convection with the air.

Ports

Input

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Input physical signal.

Programmatic Use

Port: u

Output

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Output physical signal.

Programmatic Use

Port: y

Parameters

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State matrix, specified as an n-by-n matrix, where n is the number of states.

Programmatic Use

Parameter: A

Input matrix, specified as an n-by-m matrix, where n is the number of states and m is the number of elements in the input vector.

Programmatic Use

Parameter: B

Output matrix, specified as an r-by-n matrix, where r is the number of elements in the output vector and n is the number of states.

Programmatic Use

Parameter: C

Feedthrough, or direct transmission matrix, specified as an r-by-m matrix, where r is the number of elements in the output vector and m is the number of elements in the input vector.

Programmatic Use

Parameter: D

Mass matrix of the system. The mass matrix can be singular or nonsingular and must have the same dimensions as the state matrix A.

Programmatic Use

Parameter: E

Dimensionless vector that represents the initial conditions of the state vector at time t=0.

Programmatic Use

Parameter: x0

Programmatic Use: Add Block

To add the block programmatically, use the add_block function with one of these library block paths as the source.

"fl_lib/Physical Signals/Linear Operators/PS State-Space"

Example: add_block("fl_lib/Physical Signals/Linear Operators/PS State-Space","myModel/myBlock",MakeNameUnique="on")

For information about programmatic access to individual block parameters, see the Programmatic Use section of parameter descriptions on this page.

Extended Capabilities

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C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2025a

See Also

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