Regular Papers
Transaction on Control Automation, and Systems Engineering 1999; 1(2): 99-105
© The International Journal of Control, Automation, and Systems
Fuzzy H∞ Filtering for Nonlinear Systems with Time-Varying Delayed States
This paper presents a fuzzy H∞ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown initial state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadratic Lyapunov function, the stability and gain performance from the noise signals to the estimation reeor are discussed. Sufficient conditions for the existence of fuzzy H∞ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also directly obtained form the solutions of LMIs.
Keywords fuzzyfilter, H∞ filtering, nonlinear systems, fuzzy model time-varying delays
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Regular Papers
Transaction on Control Automation, and Systems Engineering 1999; 1(2): 99-105
Published online December 1, 1999
Copyright © The International Journal of Control, Automation, and Systems.
Fuzzy H∞ Filtering for Nonlinear Systems with Time-Varying Delayed States
Kap Rai Lee/Jang Sik Lee/Do Chang Oh/Hong Bae Park
Abstract
This paper presents a fuzzy H∞ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown initial state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadratic Lyapunov function, the stability and gain performance from the noise signals to the estimation reeor are discussed. Sufficient conditions for the existence of fuzzy H∞ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also directly obtained form the solutions of LMIs.
Keywords: fuzzyfilter, H∞ filtering, nonlinear systems, fuzzy model time-varying delays
Vol. 23, No. 3, pp. 683~972
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