Title :
Robust H_2/H_8 Static Output Feedback Control for Uncertain Discrete-Time Fuzzy Systems
Author :
Ma, Qingliang ; Yang, Haiyan ; Fang, Huayuan ; Cai, Zongping
Author_Institution :
Dept. of Autom., Xi´´an Res. Inst. of High-tech, Xi´´an, China
Abstract :
The problem of robust H2/H∞ static output feedback control is investigated for a class of uncertain discrete-time fuzzy systems. By using basis-dependent Lyapunov function, a general mixed H2/H∞ performance criterion is proposed, which separates Lyapunov matrices from system matrices. Based on this, a sufficient condition for the existence of robust H2/H∞ fuzzy static output feedback controller is derived in terms of matrix inequalities. Furthermore, an iterative linear matrix inequality (ILMI) algorithm is developed to design optimal fuzzy controller. The control design approach enable one to employ different Lyapunov functions to satisfy different design objectives due to the extra degrees of freedom, which is expected to reduce the design conservativeness.
Keywords :
H∞ control; Lyapunov methods; discrete time systems; feedback; fuzzy control; iterative methods; linear matrix inequalities; robust control; uncertain systems; Lyapunov matrices; basis dependent Lyapunov function; iterative linear matrix inequality; optimal fuzzy controller; robust H2-H∞ static output feedback control; system matrices; uncertain discrete time fuzzy systems; Bismuth; Fuzzy systems; Hafnium; Linear matrix inequalities; Lyapunov methods; Output feedback; Robustness; basis-dependent Lyapunov function; fuzzy control; linear matrix inequality; mixed H2/H8 control;
Conference_Titel :
Intelligent System Design and Engineering Application (ISDEA), 2010 International Conference on
Conference_Location :
Changsha
Print_ISBN :
978-1-4244-8333-4
DOI :
10.1109/ISDEA.2010.189
