ss2mdss

Static method of mdss.

Convert a MATLAB ss/dss model into an equivalent implicit MTI (mdss) model.

Source: src/model/@mdss/ss2mdss.m

Overview

ss2mdss converts a linear time-invariant state-space model

$E \ \delta x=Ax+Bu,$

$y=Cx+Du,$

represented as a MATLAB ss or dss object into an equivalent implicit multilinear differential state-space (mdss) model. The state evolution $\delta x$ is valid for both continuous-time $\dot x$ or discrete-time $x_{k+1}$ .

The function preserves the descriptor form of the system and therefore supports models with singular descriptor matrix E.

The resulting MDSS model is represented by the equations

$0=E \ \delta x-Ax-Bu,$

$0=y-Cx-Du,$

where the outputs of the original state-space model become algebraic variables in the MDSS model. These algebraic variables are automatically marked as outputs (algebraicIsOutput) in the generated mdss object.

The generated mdss object preserves the state, input, and output names from the original linear model.

Input arguments

Argument	Description
`lsys`	Linear time-invariant state-space model of type `ss` or `dss`.
`tensorType`	Internal tensor representation. Default: `"CPNTensor"`. Currently, only `"CPNTensor"` (Norm-1 Canonical Polyadic tensor representation) is supported.

Output arguments

Output	Description
`msys`	Implicit multilinear differential state-space model of type `mdss`, equivalent to the input linear system.

Syntax

msys = mdss.ss2mdss(lsys)
msys = mdss.ss2mdss(lsys,"CPNTensor")

Convert a standard state-space model

A = [0 1;
    -2 -3];
B = [0;
     1];
C = [1 0];
D = 0;

sys = ss(A,B,C,D);

msys = mdss.ss2mdss(sys);

Convert a descriptor system

E = [2 0;
     0 0];

A = [0 1;
    -2 -3];

B = [0;
     1];

C = [1 0];
D = 0;

sys = dss(A,B,C,D,E);

msys = mdss.ss2mdss(sys);