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Robust Regional Pole Assignment of Uncertain Linear Systems Via State Feedback Controllers

TENG Qing-fang~(1,2),FAN Duo-wang~1(1.Key Laboratory of Opto-Electronic Technology and Intelligent Control(Lanzhou Jiaotong Uiniversity),Ministry of Education Lanzhou,Lanzhou 730070,China;2.College of Information and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)  
This paper was concerned with the robust design problem of the state feedback controllers that assigned all the closed-loop poles in a pre-specified sector region for a class of uncertain linear systems.The uncertainty in the system model was norm-bounded.Based on the linear matrix inequality(LMI) approach,the sufficient condition of existing robust D control was given.Furthermore,the corresponding synthesis problem was developed.The design arithmetic method and its steps were provided in terms of feasible solution to the LMI.The numerical example was given to illustrate the effectiveness of the approach presented in this paper.
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