Observer-based robust stabilization for uncertain systems with unknown time-varying delay  

作　　者：PeigangJIANG ChunwenLI 

机构地区：[1]DepartmentofAutomation,TsinghuaUniversity,Beijing100084,China

出　　处：《控制理论与应用（英文版）》2004年第2期155-160,共6页

基　　金：This work was supported by the National Science Foundation of China (No. G1998020307)

摘　　要：This paper focuses on the problem of robust stabilization for a class of linear systems with uncertain parameters and time varying delays in states. The parameter uncertainty is continuous, time varying, and norm-bounded. The state delay is unknown and time varying. The states of the system are not all measurable and an observer is constructed to estimate the states. If a linear matrix inequality (LMI) is solvable, the gains of the controller and observer can be obtained from the solution of the LMI. The observer and controller are dependent on the size of time delay and on the size of delay derivative. Finally, an example is given to illustrate the effectiveness of the proposed control method.This paper focuses on the problem of robust stabilization for a class of linear systems with uncertain parameters and time varying delays in states. The parameter uncertainty is continuous, time varying, and norm-bounded. The state delay is unknown and time varying. The states of the system are not all measurable and an observer is constructed to estimate the states. If a linear matrix inequality (LMI) is solvable, the gains of the controller and observer can be obtained from the solution of the LMI. The observer and controller are dependent on the size of time delay and on the size of delay derivative. Finally, an example is given to illustrate the effectiveness of the proposed control method.

关 键 词：Linear matrix inequality (LMI) Time delay Robust stabilization Uncertain systems OBSERVER 

分 类 号：TP271.61[自动化与计算机技术—检测技术与自动化装置]