aff2pol

Convert affine parameter-dependent models to polytopic models

Syntax

polsys = aff2pol(affsys)

Description

aff2pol derives a polytopic representation polsys of the affine parameter-dependent system

$$E(p)\dot{x}=A(p)x+B(p)u$$

(1)

$$y=C(p)x+D(p)u$$

(2)

where p = (p₁,..., p_n) is a vector of uncertain or time-varying real parameters taking values in a box or a polytope. The description affsys of this system should be specified with psys.

The vertex systems of polsys are the instances of Equation 1 and Equation 2 at the vertices p_ex of the parameter range, i.e., the SYSTEM matrices

$$\left(\begin{array}{cc}A(p_{ex})+jE(p_{ex})& B(p_{ex})\\ C(p_{ex})& D(p_{ex})\end{array}\right)$$

for all corners p_ex of the parameter box or all vertices p_ex of the polytope of parameter values.

Version History

Introduced before R2006a