Title :
Robust H∞ output feedback control of discrete-time switched systems via a new linear matrix inequality formulation
Author :
Li, Jiao ; Liu, Yuzhong ; Mei, Rui ; Li, Bo
Author_Institution :
Sch. of Sci., Hebei North Univ., Zhangjiakou, China
Abstract :
The robust H∞ output feedback control problem for uncertain discrete-time switched systems is investigated. A new linear matrix inequality(LMI) formulation of robustly stable and H∞ performance for the switched systems under arbitrary switching is obtained by using switched Lyapunov function method. The new LMI parameterized by a scalar variable which allows extra degree of freedom for design problems and stability analysis, thus, a less conservative stability condition is established. Based on the result, a dynamic output feedback controller is developed for the discrete-time switched systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed result in this paper.
Keywords :
H∞ control; Lyapunov methods; control system synthesis; discrete time systems; feedback; linear matrix inequalities; robust control; time-varying systems; uncertain systems; H∞ performance; LMI formulation; arbitrary switching; design problem; dynamic output feedback controller; linear matrix inequality; robust H∞ output feedback control; scalar variable; stability analysis; stability condition; switched Lyapunov function; uncertain discrete-time switched system; Bismuth; Output feedback; Robustness; Silicon; Stability analysis; Switched systems; H∞ performance; LMI; discrete-time switched systems; dynamic output feedback; robustly stable;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5553817
