Title :
H2 control design for fuzzy dynamic systems by LMI
Author :
Zhang, Ning ; Feng, Gang
Author_Institution :
Sch. of Electr. Eng., New South Wales Univ., Kensington, NSW, Australia
Abstract :
This paper addresses H2 control of complex nonlinear systems which can be represented by a fuzzy dynamic model. Based on a Lyapunov function and a piecewise Lyapunov function respectively, two kinds of new control design methods are proposed. It is shown that the closed-loop fuzzy control system is asymptotically stable with a white-noise attenuation. The H2 controller can be obtained by the numerical technique of linear matrix inequalities (LMI)
Keywords :
H∞ control; Lyapunov matrix equations; asymptotic stability; closed loop systems; control system synthesis; fuzzy control; matrix algebra; nonlinear control systems; nonlinear dynamical systems; piecewise polynomial techniques; white noise; H2 control design methods; asymptotic stability; closed-loop fuzzy control system; complex nonlinear systems; fuzzy dynamic systems; linear matrix inequalities; numerical technique; piecewise Lyapunov function; white-noise attenuation; Closed loop systems; Control design; Control systems; Feedback loop; Fuzzy control; Fuzzy sets; Fuzzy systems; Hydrogen; Nonlinear control systems; Robustness;
Conference_Titel :
Neural Information Processing, 1999. Proceedings. ICONIP '99. 6th International Conference on
Conference_Location :
Perth, WA
Print_ISBN :
0-7803-5871-6
DOI :
10.1109/ICONIP.1999.844683
