Optimal deterministic disturbances rejection for singularly perturbed linear systems  

作　　者：Zhang Baolin Tang Gongyou Gao Dexin 

机构地区：[1]Coll. of Information Science and Engineering, Ocean Univ. of China, Qingdao 266071, P.R. China [2]Dept. of Information and Mathematics Sciences, Jiliang Univ, Hangzhou 310018, P.R. China [3]Coll. of Automation and Electronic Engineering, Qingdao Univ. of Science and Technology, Qingdao 266042, P.R. China.

出　　处：《Journal of Systems Engineering and Electronics》2006年第4期824-828,共5页系统工程与电子技术（英文版）

基　　金：This project was supported by the National Natural Science Foundation of China (60574023), the Natural Science Foundation of Shandong Province (Z2005G01), and the Natural Science Foundation of Qingdao City (05-1-JC-94).

摘　　要：Optimal deterministic disturbances rejection control problem for singularly perturbed linear systems is considered. By using the slow-fast decomposition theory of singular perturbation, the existent and unique conditions of the feedforward and feedback composite control （FFCC） laws for both infinite-time and finite-time are proposed, and the design approaches are given. A disturbance observer is introduced to make the FFCC laws realizable physically. Simulation results indicate that the FFCC laws are robust with respect to external disturbances.Optimal deterministic disturbances rejection control problem for singularly perturbed linear systems is considered. By using the slow-fast decomposition theory of singular perturbation, the existent and unique conditions of the feedforward and feedback composite control （FFCC） laws for both infinite-time and finite-time are proposed, and the design approaches are given. A disturbance observer is introduced to make the FFCC laws realizable physically. Simulation results indicate that the FFCC laws are robust with respect to external disturbances.

关 键 词：singularly perturbed systems deterministic disturbances exosystem feedforward control optimal control disturbance observer. 

分 类 号：O231[理学—运筹学与控制论] O232[理学—数学]