Title :
H-infinity Control for nonlinear stochastic systems based on T-S fuzzy model
Author :
Ming, Gao ; Li, Sheng ; Weihai, Zhang
Author_Institution :
Coll. of Inf. & Electr. Eng., Shandong Univ. of Sci. & Technol., Qingdao, China
Abstract :
The H-infinity control problem for a class of nonlinear stochastic systems with both state- and disturbance-dependent noise is investigated. Firstly, the nonlinear stochastic systems are modelled based on the T-S fuzzy model. A sufficient condition is derived to guarantee the stability and H-infinity performance of the overall fuzzy system. Secondly, the H-infinity fuzzy controller is designed by using the parallel distributed compensation (PDC) method. The controller is obtained via solving a set of linear matrix inequalities (LMIs) instead of second-order Hamilton-Jacobi inequalities. Finally, a numerical example is presented to show the effectiveness of the proposed method.
Keywords :
H∞ control; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; stochastic systems; H-infinity fuzzy controller; LMI; T-S fuzzy model; disturbance-dependent noise; linear matrix inequalities; nonlinear stochastic systems; parallel distributed compensation; second-order Hamilton-Jacobi inequalities; stability; state-dependent noise; sufficient condition; Educational institutions; Electronic mail; Fuzzy systems; Linear matrix inequalities; Noise; Robustness; Stochastic systems; H-infinity control; Hamilton-Jacobi inequality; T-S fuzzy model; linear matrix inequality; nonlinear stochastic systems;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3