Title :
H∞ fuzzy filter design for uncertain nonlinear systems with Markovian jumps: an LMI approach
Author :
Nguang, Sing Kiong ; Assawinchaichote, Wudhichai ; Shi, Peng ; Shi, Yan
Author_Institution :
Dept. of Electr. & Comput. Eng., Auckland Univ., New Zealand
Abstract :
The paper addresses the problem of designing a robust filter for a class of uncertain Markovian jump nonlinear systems described by a class of uncertain Takagi-Sugeno fuzzy models with Markovian jumps. Based on an LMI approach, LMI-based sufficient conditions that guarantee the L2-from an exogenous input to an estimation error is less than a prescribed value are derived. A tunnel diode circuit is used to illustrate the effectiveness of the proposed design techniques.
Keywords :
H∞ control; Markov processes; control system synthesis; fuzzy systems; linear matrix inequalities; nonlinear control systems; uncertain systems; LMI approach; Markovian jumps; estimation error; fuzzy filter design; linear matrix inequality; robust filter design; tunnel diode circuit; uncertain Takagi-Sugeno fuzzy models; uncertain nonlinear systems; Differential equations; Diodes; Estimation error; Filters; Fuzzy systems; Linear systems; Nonlinear systems; Robustness; Sufficient conditions; Takagi-Sugeno model;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470229
