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)x˙=A(p)x+B(p)u(2-1)
y=C(p)x+D(p)u(2-2)

where p = (p1, . . . , pn) 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 2-1 and Equation 2-2 at the vertices pex of the parameter range, i.e., the SYSTEM matrices

(A(pex)+jE(pex)B(pex)C(pex)D(pex))

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

See Also

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