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Robust reliable control for a class of time-varying uncertain impulsive systems
Authors:Cheng Xin-ming  Gui Wei-hua and Gan Zheng-jia
Affiliation:(1) School of Information Science and Engineering, Central South University, 410083 Changsha, China;(2) School of Computer and Communication, Changsha University of Science and Technology, 410076 Changsha, China
Abstract:The problem of robust and reliable control design for linear uncertain impulsive systems with both time-varying norm-bounded parameter uncertainty and actuator failures was studied. The actuators are classified into two groups. One set of actuators susceptible to failures is possible to fail, the other set of actuators robust to failures is assumed never to fail. The outputs of the actuator failures are regarded as zero. The purpose is to design the state feedback controller such that, for all admissible uncertainties as well as actuator failures occurring among a prespecified subset of actuators, the plant remains asymptotically stable. A modified algebraic Riccati equation approach was developed to solve the problem addressed and a robust reliable control law was obtained. An numerical example was also offered to prove the effectiveness of the proposed method. Foundation item: Project (60474003) supported by the National Natural Science Foundation of China
Keywords:reliable control  uncertain impulsive systems  state feedback  stabilization
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