Discrete State Space - MapleSim Help

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Discrete State Space

Discrete state space

 

Description

Connections

Parameters

Initial Conditions

See Also

Description

The Discrete State Space component defines the relation between the input signal, u, and the output signal, y, in the state space form

x=Ax^+Bu

y=Cx^+Du

where prex is the value of the discrete state, x,at the previous sample time instant. The input is a vector of the length ν, the output is a vector of length ny, and nx is the number of states. Accordingly, the dimensions are as follows:

        A(nx,nx),

        B(nx,ν),

        C(ny,nx),

        D(ny,ν)

The Signal Size parameter allows the block to operate on a vector of signals rather than a single signal.

Connections

Name

Description

u

Continuous input signal connection

y

Continuous output signal connection

Parameters

Symbol

Default

Units

Description

Modelica ID

A

-

-

Matrix A of the state space model

A

B

-

-

Matrix B of the state space model

B

C

-

-

Matrix C of the state space model

C

D

-

-

Matrix D of the state space model

D

Sample Period

0.1

s

Sample period of the component

samplePeriod

T0

0

s

First sample time instant

startTime

nin

-

-

Number of inputs

n_in

nout

-

-

Number of outputs

n_out

Signal Size

1

-

Dimension of input and output signals

signalSize

Initial Conditions

Symbol

Units

Description

Modelica ID

x0

-

State vector

x(0)

See Also

Discrete Signal Blocks

Signal Blocks Overview

The components described in this topic are from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

 

 

 

 

 


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