Title :
H∞ fuzzy estimation for a class of nonlinear discrete-time dynamic systems
Author :
Tseng, Chung-Shi ; Chen, Bor-Sen
Author_Institution :
Dept. of Electr. Eng., Ming Hsin Inst. of Technol., Hsinchu, Taiwan
fDate :
11/1/2001 12:00:00 AM
Abstract :
This paper studies H∞ fuzzy filtering design for state estimation of nonlinear discrete-time systems with bounded but unknown disturbances. First, the Takagi and Sugeno (1985) fuzzy model is proposed to represent a nonlinear system. Next, using a linear matrix inequality (LMI) approach, the H∞ fuzzy filtering problems are characterized in terms of a linear matrix inequality problem (LMIP). The LMIP can be efficiently solved using convex optimization techniques. Simulation examples are given to illustrate the design procedure and the applicability of the proposed method. The results indicate that the proposed method is suitable for practical applications
Keywords :
H∞ control; H∞ optimisation; discrete time systems; filtering theory; fuzzy systems; matrix algebra; nonlinear systems; state estimation; H∞ fuzzy estimation; H∞ fuzzy filtering design; convex optimization; fuzzy model; linear matrix inequality; nonlinear discrete-time dynamic systems; state estimation; Attenuation; Filtering; Fuzzy systems; Linear matrix inequalities; Noise measurement; Nonlinear equations; Nonlinear filters; Nonlinear systems; Riccati equations; State estimation;
Journal_Title :
Signal Processing, IEEE Transactions on
