摘要
网络控制系统中由于通讯网络的引入而导致的网络时延对控制系统的性能带来很大的负面影响,针对一类具有时变网络诱导时延和噪声污染的不确定网络控制系统,研究了一种可以对时变时延进行补偿的鲁棒H∞控制器的设计问题。通过引入两个附加的松弛矩阵使Lyapunov矩阵和系统矩阵得到分离,得到了一个新的时延补偿鲁棒H∞性能判据,并基于该判据给出了不确定系统的鲁棒H∞状态反馈控制器的设计方法。设计的控制器不但保证闭环系统的二次稳定性,同时使系统的H∞范数小于一个给定的衰减水平γ。并且设计了一个迭代算法来得到问题的优化解。通过一个算例验证了所提出的时延补偿策略的可行性和优越性。
The insertion of the communication network in the networked control systems can induce delay, which can degrade the performance of control systems and even destabilize the system. The problem of compensation analysis for systems with time -varying uncertain network -induced delay and norm bounded unknown input is investigated. A new improved LMI representation of H∞ performance is presented by introduce two slack matrices. Then a novel robust H∞ state feedback controller is achieved. The compensation controller guarantees not only the quadratic stability of the closed - loop systems but also the H∞ norm bound within a γ. The newly proposed criterion exhibits a kind of separation between the systems matrices and the positive definite Lyapunov matrices. So the vertex - dependent Lyapunov functions can be adopted, and thus a less conservative resulted are expected to be obtained. Additionally, to further refine the sub - optimal controller, an iterative algorithm is developed. A numerical example is employed to illustrate the effect of the proposed approach.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2007年第2期168-172,177,共6页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(60504008)
关键词
网络控制系统
状态滞后系统
鲁棒控制
时延补偿
networked control system
state- delayed systems
robust control
delay compensate
作者简介
夏红伟（1979-），男，博士研究生，主要研究方向：网络控制系统，鲁棒控制及滤波，E—mail：simonxhw@163．com
通讯作者：王常虹（1961-），男，教授，博士生导师
