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Mixed L1=H-infinity control for uncertain linear singular systems
Received:August 1,2007  Revised:October 13,2008
Keywords:Mixed L1=H-infinity optimization  Robust control  Uncertain linear singular system  Matrix inequality
Fund Project:
Xiaofu JI , Yukun SUN, Yonghong HUANG, Hongye SU School of Electrical and Information Engineering, Jiangsu University, Zhenjiang Jiangsu 212013, China; National Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou Zhejiang 310027, China 
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      The mixed L1=H-infinity control problem for a class of uncertain linear singular systems is considered using a matrix inequality approach. The purpose is to design a state feedback control law such that the resultant closed-loop system is regular, impulse-free, stable and satisfies some given mixed L1=H-infinity performance. A sufficient condition for the existence of such control law is given in terms of a set of matrix inequalities by the introduction of inescapable set and -norm. When these matrix inequalities are feasible, an explicit expression of the desired state feedback control law is given. A numerical example is used to demonstrate the applicability of the proposed approach.
Xiaofu JI , Yukun SUN, Yonghong HUANG, Hongye SU.Mixed L1=H-infinity control for uncertain linear singular systems[J].Journal of Control Theory and Applications,2009,7(2):134~138.
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