状态和输入时变时滞的摄动线性系统的镇定

Chih‐Chiang Cheng, Chih-Chin Wen, Jian-Liung Chen
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引用次数: 1

摘要

针对一类具有不确定性和时变时滞的多输入多输出线性系统,提出了状态反馈控制器和观测器的设计方法。利用李雅普诺夫稳定性定理,给出了计算控制器状态反馈增益和观测器增益的充分条件,以便在存在参数变化和时滞的情况下对闭环系统进行调节。该充分条件包含两个不等式,其中一个是线性矩阵不等式(LMI),可以利用计算机软件包求解。当满足所提充分条件的解存在时,闭环系统的全局渐近稳定性得到保证。最后通过实例验证了所提控制方法的可行性,并与已有的滑模控制方法进行了性能比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stabilization of Perturbed Linear Systems with Time-Varying Delays in States and Inputs
The design of state feedback controllers and observers are proposed in this paper for a class of multi-input-multi-output linear systems with uncertainties and time varying delays both in states and control inputs. By using Lyapunov stability theorem, a sufficient condition is found for computing the state feedback gains of controllers and the gains of observers in order to regulate the closed-loop systems in spite of the existence of parameters variations as well as delays. This sufficient condition contains two inequalities, one of which is linear matrix inequality (LMI), which can be solved by utilizing the computer’s software package. The globally asymptotic stability of the closed-loop system is guaranteed if the solution which satisfies the proposed sufficient condition exists. An application is given for demonstrating the feasibility of the proposed control method, whose performance is also compared to an existing sliding mode control scheme.
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