Title :
Finite-time H∞ control for a class of discrete-time linear system
Author :
Wang, Kang ; Shen, Yanjun ; Liu, Wanhai ; Jiang, Qinghua
Author_Institution :
Coll. of Sci., China Three Gorges Univ., Yichang, China
Abstract :
In this paper, the concept of H∞ control for discrete-time systems is extended over a finite-time interval, we discuss the finite-time control H∞ problem for discrete-time linear system with time-varying norm-bounded exogenous disturbance, the main aim is to design a state feedback controller which guarantees that the closed-loop system is finite-time boundedness and reduces the effect of the disturbance input on the controlled output. In order to solve the problem, some sufficient conditions which can be reduced to feasibility problem involving LMIs are presented. Finally, a numerical example is given to demonstrate the efficiency of the proposed method.
Keywords :
H∞ control; closed loop systems; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; state feedback; time-varying systems; LMI; closed loop system; discrete time linear system; finite time H∞ control; finite time boundedness; state feedback controller; time varying norm bounded exogenous disturbance; Asymptotic stability; Control systems; Linear feedback control systems; Linear systems; Lyapunov method; Nonlinear control systems; Robust control; State feedback; Sufficient conditions; Time varying systems; H∞ control; LMI; discrete-time linear system; exogenous disturbance;
Conference_Titel :
Control and Decision Conference (CCDC), 2010 Chinese
Conference_Location :
Xuzhou
Print_ISBN :
978-1-4244-5181-4
Electronic_ISBN :
978-1-4244-5182-1
DOI :
10.1109/CCDC.2010.5498990
