H-infinity control for switched and impulsive singular systems  

作　　者：Yujuan YIN Jun ZHAO Yuzhong LIU 

机构地区：[1]School of Mathematics, Liaoning University, Shenyang Liaoning 110036, China [2]School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China [3]School of Mathematics and System Science, Shenyang Normal University, Shenyang Liaoning 110034, China

出　　处：《控制理论与应用（英文版）》2008年第1期86-92,共7页

基　　金：the National Natural Science Foundation of China (No.60574013);the Science and Technology Foundation of theEducation Department of Liaoning Province (No.20060823)

摘　　要：A new model of dynamical systems is proposed which consists of singular systems with impulsive effects, i.e., switched and impulsive singular systems （SISS）. By using the switched Lyapunov functions method, a sufficient condition for the solvability of the H-infinity control problem for SISSs is given which generalizes the H-infinity control theory for singular systems to switched singular systems with impulsive effects. Then the sufficient condition of solvablity of the H-infinity control problem is presented in terms of linear matrix inequalities. Finally, the effectiveness of the developed aooroach for switched and imoulsive singular svstems is illustrated by a numerical example.A new model of dynamical systems is proposed which consists of singular systems with impulsive effects, i.e., switched and impulsive singular systems （SISS）. By using the switched Lyapunov functions method, a sufficient condition for the solvability of the H-infinity control problem for SISSs is given which generalizes the H-infinity control theory for singular systems to switched singular systems with impulsive effects. Then the sufficient condition of solvablity of the H-infinity control problem is presented in terms of linear matrix inequalities. Finally, the effectiveness of the developed aooroach for switched and imoulsive singular svstems is illustrated by a numerical example.

关 键 词：Switched systems Switched singular systems H-infinity control 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]