Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

In this paper, a convex set of fixed-order H-infinity and H2 dynamic output-feedback controllers for continuous-time systems with polytopic uncertainty is proposed. This approach is based on the use of some instrumental stable matrices, which operate as a tool to decouple the controller parameters and the Lyapunov matrices. Then, the stability of the closed-loop system as well as H-infinity and H2 performance criteria are expressed by a set of linear matrix inequalities based upon linearly parameter-dependent Lyapunov matrices. Iterative procedure for updating the instrumental matrices using the previous controller can increase the performance of the approach. Simulation results demonstrate the effectiveness of the proposed method.

Presented at:
European Control Conference, Zurich, Switzerland, July 17-19, 2013

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 Record created 2013-03-14, last modified 2018-11-26

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