polydec

Purpose

Compute polytopic coordinates with respect to box corners

Syntax

• vertx = polydec(PV)
  [C,vertx] = polydec(PV,P)
  

Description

vertx = polydec(PV) takes an uncertain parameter vector PV taking values ranging in a box, and returns the corners or vertices of the box as columns of the matrix vertx.

[C,vertx] = polydec(PV,P) takes an uncertain parameter vector PV and a value P of the parameter vector PV, and returns the convex decomposition C of P over the set VERTX of box corners:

• P = c1*VERTX(:,1) + ... + cn*VERTX(:,n)
  cj >=0 ,              c1 + ... + cn = 1
  

The list vertx of corners can be obtained directly by typing

• vertx = polydec(PV)
  

See Also

pvec        Quantification of uncertainty on physical parameters

pvinfo      Describe a parameter vector specified with pvec

aff2pol     Convert affine parameter-dependent models to polytopic ones

hinfgs      Synthesis of gain-scheduled H controllers

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