mss2mdss

Method of mss.

Convert an explicit MTI (mss) model into an equivalent implicit MTI (mdss) model.

Source: src/model/@mss/mss2mdss.m

Overview

mss2mdss converts an explicit multilinear state-space (mss) model into an equivalent implicit multilinear differential state-space (mdss) model.

Given the explicit multilinear system

$$\begin{aligned} \delta x &= \big<\mathsf{F}|\mathsf{M}(x,u) \big>, \\ y &= \big<\mathsf{G}|\mathsf{M}(x,u) \big>, \end{aligned}$$

the function constructs the equivalent implicit representation

$$\begin{aligned} \big<\mathsf{H}|\mathsf{M}(\delta x,x,u,y) \big> &= 0, \\ \end{aligned}$$

where algebraic variables are corresponding to the model outputs. The state evolution $\delta x$ is valid for both continuous-time $\dot x$ or discrete-time $x_{k+1}$.

The resulting mdss object preserves the state, input, and output names from the original mss model. The output variables are automatically assigned as algebraic outputs (algebraicIsOutput). If the mtiBase of the mss was the literal base, the model base is not preserved because the mdss class does not yet support literal base models.

Input arguments

Output arguments

Syntax

mdsys = mss2mdss(msys)
mdsys = mss2mdss(msys,"CPNTensor")
mdsys = msys.mss2mdss()

See Also

• mss
• mdss
• ss2mss
• ss2mdss

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