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Received:January 10, 2011Revised:August 01, 2011 |
基金项目:This work was supported by the National Creative Research Groups Science Foundation of China (No. 60721062), the Foundation of Zhejiang Department of Education (No. Y201121463), and National Natural Science Foundation of China (Nos. 61203025, 60974138). |
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Reliable H-infinity filtering for linear systems with sensor saturation |
Ting SHI,Hongye SU,Jian CHU |
(Institute of Automation, Hangzhou Dianzi University;State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University (Yuquan Campus)) |
Abstract: |
In this paper, a new reliable H-infinity filter design problem is proposed for a class of continuous-time systems with sensor saturation and failures. Attention is focused on the analysis and synthesis problems of a full order reliable H-infinity filter such that the filtering error dynamics is asymptotically stable with a guaranteed disturbance rejection attenuation level γ. It is shown that the filtering error dynamics obtained from the original system plus the filter can be modeled by a linear system with sector bounded nonlinearity. The design conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). These conditions are then considered in a convex optimization problem with LMIs constraints in order to design an optimal reliable H-infinity filter. A numerical example is given to illustrate the effectiveness of the proposed results. |
Key words: H-infinity filtering Reliable filtering Sensor saturation Sensor failures Linear matrix inequality |