L_2-gain Analysis and Anti-windup Design of Discretetime Switched Systems with Actuator Saturation  被引量:5

L_2-gain Analysis and Anti-windup Design of Discretetime Switched Systems with Actuator Saturation

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作  者:Zhang, Xin-Quan  Zhao, Jun 

机构地区:[1] School of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, China [2] State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China

出  处:《International Journal of Automation and computing》2012年第4期369-377,共9页国际自动化与计算杂志(英文版)

基  金:supported by National Natural Science Foundation of China (Nos.61174073 and 90816028)

摘  要:This paper investigates L2-gain analysis and anti-windup compensation gains design for a class of discrete-time switched systems with saturating actuators and L2 bounded disturbances by using the switched Lyapunov function approach.For a given set of anti-windup compensation gains,we firstly give a sufficient condition on tolerable disturbances under which the state trajectory starting from the origin will remain inside a bounded set for the corresponding closed-loop switched system subject to L2 bounded disturbances.Then,the upper bound on the restricted L2-gain is obtained over the set of tolerable disturbances.Furthermore,the antiwindup compensation gains aiming to determine the largest disturbance tolerance level and the smallest upper bound of the restricted L2-gain are presented by solving a convex optimization problem with linear matrix inequality(LMI) constraints.A numerical example is given to illustrate the effectiveness of the proposed design method.This paper investigates L2-gain analysis and anti-windup compensation gains design for a class of discrete-time switched systems with saturating actuators and L2 bounded disturbances by using the switched Lyapunov function approach.For a given set of anti-windup compensation gains,we firstly give a sufficient condition on tolerable disturbances under which the state trajectory starting from the origin will remain inside a bounded set for the corresponding closed-loop switched system subject to L2 bounded disturbances.Then,the upper bound on the restricted L2-gain is obtained over the set of tolerable disturbances.Furthermore,the antiwindup compensation gains aiming to determine the largest disturbance tolerance level and the smallest upper bound of the restricted L2-gain are presented by solving a convex optimization problem with linear matrix inequality(LMI) constraints.A numerical example is given to illustrate the effectiveness of the proposed design method.

关 键 词:L2-GAIN ANTI-WINDUP switched systems saturating actuators switched Lyapunov function tolerable disturbances. 

分 类 号:TP13[自动化与计算机技术—控制理论与控制工程]

 

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