Title :
A new approach for estimating the domain of attraction for linear systems with time-varying delay and saturating actuators
Author :
Zuo, Zhiqiang ; Ho, Daniel W C ; Wang, Yijing ; Yang, Cuili
Author_Institution :
Tianjin Key Lab. of Process Meas. & Control, Tianjin Univ., Tianjin, China
Abstract :
This paper is concerned with the estimation of the domain of attraction for a class of linear continuous-time systems subject to both interval time-varying delay and actuator saturation. A new type of delay-range-dependent condition is firstly proposed using the free-weighting matrix technique to derive a tighter upper bound on the derivative of a Lyapunov-Krasovskii functional. Based on it, a state feedback controller is then designed with the solution of a set of linear matrix inequalities. An optimization problem with LMI constraints is formulated in order to find an initial set as large as possible to obtain a less conservative estimate of the domain of attraction for such systems. An example is carried out to illustrate the theoretical results.
Keywords :
Lyapunov methods; actuators; continuous time systems; control system synthesis; delays; linear matrix inequalities; linear systems; optimisation; state feedback; time-varying systems; Lyapunov-Krasovskii functional; actuator saturation; domain-of-attraction estimation; free-weighting matrix; linear continuous-time system; linear matrix inequality; optimization problem; state feedback controller design; time-varying delay range-dependent condition; Constraint optimization; Delay estimation; Delay systems; Hydraulic actuators; Linear feedback control systems; Linear matrix inequalities; Linear systems; State feedback; Time varying systems; Upper bound;
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
