H∞state feedback controller design with mixed frequency specifications

Authors:
Xiao-Yi Li;Xiao-Ni Zhang;Guang-Hong Yang
Affiliations:
College of Mathematics and Systems Science, Shenyang Normal University, Shenyang, China;College of Information Science and Engineering, Northeastern University, Shenyang, China;College of Information Science and Engineering, Northeastern University, Shenyang, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

This paper is concerned with the H∞ control problem for linear continuous-time systems in mixed frequencies ranges. A state feedback controller is designed such that the resulting closed-loop system is asymptotically stable and satisfies entire frequency and finite frequency H∞ performance respectively. Then a sufficient condition for the existence of the controller is derived in terms of linear matrix inequalities (LMIs). Compared with the existing result, our design procedure reduces the conservatism and improves the performance in the multi-objective setting. Finally a numerical example is given to illustrate the effect of the proposed method.