摘要
针对一类更具一般性的含有不确定项的多时滞非线性系统,在不确定项范数有界的情况下,设计了鲁棒H∞状态反馈控制器和输出反馈控制器,给出了鲁棒H∞控制问题有解的充分条件,并利用微分对策原理和耗散性原理证明了这些充分条件.由于讨论的系统更广泛,所以设计的反馈控制器以及得到的H∞控制问题有解的充分条件比以往文献介绍的更具一般性.算例仿真说明了此H∞控制律的设计步骤和方法.仿真结果表明,此方法对不确定性参数在20%的范围内摄动时具有一定的鲁棒性,对干扰输入具有较强的抑制能力.
The Hinfinite state feedback control law and the Hinfinite feedback control law via measurement output are designed for a class of more general uncertain nonlinear systems with multiple delay time when the norm of the uncertainty is bounded. The sufficient conditions for the solvability of the Hinfinite control problem are presented and proved by twoplayer zerosum differiential games and dissipative theory. Owing to the generality of the discussed system, the proposed feedback controller and the sufficient conditions for the solvability of the Hinfinite control problem further extend those in other literatures. The designing procedure of the proposed controller is shown step by step through an example. Simulation results illustrate that the design method not only is robust to the uncertainty of parameters perturbing within the scope of 20%, but also has the ability to attenuate the disturbance.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2002年第12期1295-1298,共4页
Journal of Xi'an Jiaotong University
基金
国家重点发展研究项目专项经费资助项目(G1998030417).
