Title :
An LMI approach to fuzzy H∞ filter design for nonlinear systems
Author :
Zhang, Hongli ; Chang, Xiao-Heng
Author_Institution :
Math Dept., Heilongjiang Bayi Agric. Univ., Daqing, China
Abstract :
This paper addresses the problem of H∞ filter design for a class of nonlinear systems. The nonlinear plant is represented by a Takagi-Sugeno (T-S) fuzzy model. To begin with, the fuzzy H∞ filter is transformed to a new representation form. Then, based on the quadratic Lyapunov function, the method for H∞ filter design is proposed for the filtering error system. Since only a set of linear matrix inequalities (LMIs) is involved, the H∞ filter gains can be solved directly. A simulation example is demonstrated to show the effectiveness of the proposals.
Keywords :
Lyapunov methods; discrete time systems; filtering theory; fuzzy set theory; linear matrix inequalities; nonlinear systems; LMI approach; Takagi-Sugeno fuzzy model; discrete-time nonlinear systems; filtering error system; fuzzy H∞ filter design; linear matrix inequality; quadratic Lyapunov function; Fuzzy systems; Linear matrix inequalities; Lyapunov methods; Noise; Nonlinear systems; Stability analysis; Symmetric matrices; H∞ filter; Linear matrix inequalities (LMIs); Nonlinear systems; T-S fuzzy systems;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968719
