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

In this paper, a new approach for fixed-order H-infinity and H-2 dynamic output-feedback controller design of continuous-time systems with state space polytopic uncertainty is proposed. This approach is based on the use of some instrumental matrices, which operate as a tool to decouple the controller parameters and the Lyapunov matrices. The stability of the closed-loop system as well as H-infinity and H-2 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.


Published in:
2013 European Control Conference (Ecc), 1132-1137
Presented at:
European Control Conference (ECC)
Year:
2013
Publisher:
New York, Ieee
ISBN:
978-3-033-03962-9
Laboratories:




 Record created 2014-06-02, last modified 2018-01-28


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