Non-fragile delay-dependent H_∞ control of linear time-delay system with uncertainties in state and control input  

作　　者：肖伸平 吴敏 佘锦华 

机构地区：[1]School of Information Science and Engineering, Central South University [2]School of Metallurgy, Hunan University of Technology, Zhuzhou 412000, China [3]School of Information Science and Engineering, Central South University,Changsha 410083, China [4]School of Bionics, Tokyo University of Technology,Tokyo 192-0982, Japan

出　　处：《Journal of Central South University of Technology》2008年第5期712-719,共8页中南工业大学学报（英文版）

基　　金：Project(60574014) supported by the National Natural Science Foundation of China;Project(20050533015) supported by the Doctor Subject Foundation of China;Project(60425310) supported by the National Science Foundation for Distinguished Youth Scholars, China

摘　　要：The problem of designing a non-fragile delay-dependent H∞ state-feedback controller was investigated for a linear time-delay system with uncertainties in state and control input. First, a recently derived integral inequality method and Lyapunov-Krasovskii stability theory were used to derive new delay-dependent bounded real lemmas for a non-fragile state-feedback controller containing additive or multiplicative uncertainties. They ensure that the closed-loop system is internally stable and has a given H∞ disturbance attenuation level. Then, methods of designing a non-fragile H∞ state feedback controller were presented. No parameters need to be tuned and can be easily determined by solving linear matrix inequalities. Finally, the validity of the proposed methods was demonstrated by a numerical example with the asymptotically stable curves of system state and controller output under the initial condition of x(0)=1 0 -1]T and h=0.8 time-delay boundary.The problem of designing a non-fragile delay-dependent H∞ state-feedback controller was investigated for a linear time-delay system with uncertainties in state and control input. First, a recently derived integral inequality method and Lyapunov-Krasovskii stability theory were used to derive new delay-dependent bounded real lemmas for a non-fragile state-feedback controller containing additive or multiplicative uncertainties. They ensure that the closed-loop system is internally stable and has a given H∞ disturbance attenuation level. Then, methods of designing a non-fragile H∞ state feedback controller were presented. No parameters need to be tuned and can be easily determined by solving linear matrix inequalities. Finally, the validity of the proposed methods was demonstrated by a numerical example with the asymptotically stable curves of system state and controller output under the initial condition of x（0）=[1 0 -1]^T and h=0.8 time-delay boundary.

关 键 词：uncertain systems delay-dependent criterion non-fragile control linear matrix inequality（LMI） 

分 类 号：O231[理学—运筹学与控制论]