Title :
H∞ reduced-order filtering of discrete-time T-S fuzzy systems
Author :
Dong, Jiuxiang ; Yang, Guang-hong
Author_Institution :
Northeastern Univ., Shenyang
Abstract :
This paper addresses the reduced-order filtering problem for discrete-time T-S fuzzy systems. Based on multiple Lyapunov function approach, a sufficient condition is given in terms of the solvability of bilinear matrix inequalities. An iterative algorithm based on the linear matrix inequalities is developed to compute the corresponding filter gains. A numerical example is given to illustrate the validity of the design methodologies.
Keywords :
H∞ control; Lyapunov methods; control system synthesis; discrete time systems; filtering theory; fuzzy control; fuzzy systems; linear matrix inequalities; reduced order systems; H∞ reduced-order filtering problem; Lyapunov function approach; bilinear matrix inequality solvability problem; discrete-time T-S fuzzy system design; Control systems; Design methodology; Filtering; Fuzzy systems; Iterative algorithms; Linear matrix inequalities; Lyapunov method; Nonlinear filters; Sufficient conditions; Wiener filter;
Conference_Titel :
Control Applications, 2007. CCA 2007. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0442-1
Electronic_ISBN :
978-1-4244-0443-8
DOI :
10.1109/CCA.2007.4389453
