Implement a discrete state-space system.
Library
Discrete
Description
The Discrete State-Space block implements the system described by
where u is the input, x is the state, and y is the output. The matrix coefficients must have these characteristics, as illustrated in the diagram below:
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 Discrete State Space block accepts and outputs a real signal of type double.
Parameters and Dialog Box
- A, B, C, D
- The matrix coefficients, as defined in the above equations.
- Initial conditions
- The initial state vector. The default is
0.
- Sample time
- The time interval between samples.
Characteristics
Direct Feedthrough
|
Only if D  0
|
Sample Time
|
Discrete
|
Scalar Expansion
|
Of the initial conditions
|
States
|
Determined by the size of A
|
Vectorized
|
Yes
|
Zero Crossing
|
No
|
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