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H∞ Filtering for Nonlinear Discrete-time Systems Based on T-S Fuzzy Model

Author: JiangJian
Tutor: ZhangXiaoMei
School: Nantong University
Course: Applied Mathematics
Keywords: T - S fuzzy model Discrete systems H_ ∞ filter Time Delay Sensor failure
CLC: TP13
Type: Master's thesis
Year: 2010
Downloads: 14
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Abstract


The stability analysis and design of nonlinear systems is an important research topic in the field of control theory . Takagi -Sugeno (TS) fuzzy method is an effective method in the study of nonlinear systems , because it can use the Lyapunov stability theory to systems analysis and design . nonlinear filtering problems become a hot research topic due to its practical application in signal synthesis , communication and control . usually Kalman filtering is used widely , however, exist in the system model and the noise statistical properties Kalman filtering application is restricted under deterministic conditions , H_ ∞ filter can effectively solve the problems encountered by the Kalman filter , not only high estimation accuracy and robustness . mainly based on TS fuzzy model for discrete-time non-linear H_ ∞ filtering study of the sexual system , do the following work : ( 1 ) the Delay case of discrete systems in the measurement of the system fuzzy H_ ∞ filter problem . fuzzy Lyapunov function method , LMI methods , such as filtering error system delay dependent stability conditions . H_ ∞ filter design based on given and an example to prove the effectiveness of the above methods . ( 2) study the system measurement the discrete delay fuzzy systems H_ ∞ filtering problem in the case of data loss . assume that the measurement data lost to obey Bernoulli random point distribution . First of all, the use of base -dependent Lyapunov functional method H_ ∞ performance of the filtering error system analysis , then, using the linear matrix inequality technique designed H_ ∞ filter . Finally, through an example to illustrate the effectiveness of the method given . ( 3) study the presence of random sensor failure discrete Fuzzy Systems with Delays H_ ∞ filtering problem . assuming sensor fault can be obey specific distribution law of random variables to characterize design H_ ∞ filter makes filtering error system is asymptotically stable in the mean square sense and has designated H_ ∞ suppression level . ideal filter by means of a set of linear matrix inequalities feasible solution .

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