Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex inner-approximation of the whole non-convex set of stabilizing controllers and depends on the choice of a central polynomial. It is shown that with an appropriate choice of the central polynomial, the set of all fixed-order controllers that place the closed-loop poles of a polytopic system in a disk centered on the real axis, can be outbounded with an LMI. This way, robust regional pole placement can be achieved by convex optimization for systems with polytopic uncertainty.

Presented at:
European Control Conference 2007, Kos, Greece, 2-5 July 2007

Note: The status of this file is: Involved Laboratories Only

 Record created 2006-03-01, last modified 2018-01-27

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