DiscrStateSpace
This block implements a discrete-time linear state-space system when activated at a fixed rate. The system is defined by the A,B,C,D matrices and the initial state x0.
Library
Dynamical
Description
This block implements a discrete-time linear state-space system when activated at a fixed rate.
The system is defined by the A,B,C,D matrices and the initial state vector x0.
The system is xdot = Ax + bu and y = Cx + du where x (size n) is the vector of the state variables, u is the vector of inputs (size m) and y (size r) is the vector of outputs.
Parameters
| Name | Label | Description | Data Type | Valid Values |
|---|---|---|---|---|
A | A matrix | real nxn matrix where n is the number of states, default value: 1. | Matrix | |
B | B matrix | real nxm matrix where n is the number of states and m is the number of inputs, default value: 1. B=[ ] if block has no input. | Matrix | |
C | C matrix | real rxn matrix, default value: 1. r is the number of outputs and n is the number of states. | Matrix | |
D | D matrix | real rxm matrix where r is the number of outputs and m is the number of inputs, default value: 1. | Matrix | |
x0 | Initial state | vector of size n or scalar (expanded to a vector of size n). | Vector | |
externalActivation | External activation | Number | 0 |
Ports
| Name | Type | Description | IO Type | Number |
|---|---|---|---|---|
Port 1 | explicit | output | 1 | |
Port 2 | explicit | input | 1 | |
Port 3 | activation | input | externalActivation |
Advanced Properties
| Name | Value | Description |
|---|---|---|
always active | no | |
direct-feedthrough | no, except when D is not zero | |
zero-crossing | no | |
mode | no | |
continuous-time state | no | |
discrete-time state | yes |