Reliable H-infinity filtering for linear systems with sensor saturation  

作　　者：Ting SHI Hongye SU Jian CHU 

机构地区：[1]Institute of Automation, Hangzhou Dianzi University [2]State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University (Yuquan Campus)

出　　处：《控制理论与应用（英文版）》2013年第1期80-85,共6页

基　　金：supported by the National Creative Research Groups Science Foundation of China (No. 60721062);the Foundation of Zhejiang Department of Education (No. Y201121463);National Natural Science Foundation of China (Nos. 61203025, 60974138)

摘　　要：In this paper, a new reliable H-infinity filter design problem is proposed for a class of continuous-time sys- tems 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 atten- uation level -y. 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.In this paper, a new reliable H-infinity filter design problem is proposed for a class of continuous-time sys- tems 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 atten- uation level -y. 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.

关 键 词：H-infinity filtering Reliable filtering Sensor saturation Sensor failures Linear matrix inequality 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP212[自动化与计算机技术—控制科学与工程]