Using Simulink

State-Space

Implement a linear state-space system.

Library

Continuous

Description

The State-Space block implements a system whose behavior is defined by:

where x is the state vector, u is the input vector, and y is the output vector. The matrix coefficients must have these characteristics, as illustrated in the diagram below:

• A must be an n-by-n matrix, where n is the number of states.
• B must be an n-by-m matrix, where m is the number of inputs.
• C must be an r-by-n matrix, where r is the number of outputs.
• D must be an r-by-m matrix.
  
  

The block accepts one input and generates one output. The input vector width is determined by the number of columns in the B and D matrices. The output vector width is determined by the number of rows in the C and D matrices.

Simulink converts a matrix containing zeros to a sparse matrix for efficient multiplication.

Data Type Support

A State-Space block accepts and outputs real signals of type double.

Parameters and Dialog Box

A, B, C, D

The matrix coefficients.

Initial conditions

The initial state vector.

Characteristics

Direct Feedthrough	Only if D 0
Sample Time	Continuous
Scalar Expansion	Of the initial conditions
States	Depends on the size of A
Dimensionalized	Yes
Zero Crossing	No

Slider Gain

Step