Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

• Published in: IEEE Transactions on Automatic Control, vol. 53, num. 1, p. 428-434
• Publication date: 2008

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.

Keywords: Polytopic Uncertain System ; Convex Optimization ; Robust Control ; LMIs

Reference

• LA-ARTICLE-2007-003
• doi:10.1109/TAC.2007.914301
• View record in Web of Science

Record created on 2007-08-28, modified on 2012-03-21