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Input-output Approach and Scaled Small Gain Theorem Analysis to Sampled-data Systems with Time-varying Delay
International Journal of Control, Automation and Systems ( IF 3.2 ) Pub Date : 2020-04-07 , DOI: 10.1007/s12555-019-0173-5
Ouarda Lamrabet , El Houssaine Tissir , Nabil El Fezazi , Fatima El Haoussi

This article presents some novel results on sampled-data H ∞ control for a class of linear systems. The proposed system is affected by time-varying delay and external disturbance. The main goal of this paper is to transform the original system into an equivalent two interconnected subsystems through the combination of input-output approach and scaled small gain (SSG) theorem. Then, the three term approximation method is adopted to approximate the time-varying delay. By incorporating Lyapunov-Krasovskii functional and wirtinger integral inequality, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantee the stability of the closed loop system, and a H ∞ norm bound performances. Finally, the applicability of the developed control design technique and its less conservativeness over other existing ones are proven by means of simulation examples.

中文翻译:

时变延迟采样数据系统的输入-输出方法和缩放小增益定理分析

本文介绍了对一类线性系统的采样数据 H ∞ 控制的一些新结果。所提出的系统受到时变延迟和外部干扰的影响。本文的主要目标是通过输入输出方法和缩放小增益(SSG)定理的结合,将原始系统转化为等效的两个相互关联的子系统。然后,采用三项逼近方法来逼近时变延迟。通过结合 Lyapunov-Krasovskii 泛函和 wirtinger 积分不等式,在线性矩阵不等式 (LMI) 方面获得了一组新的充分条件,保证了闭环系统的稳定性,并具有 H ∞ 范数界限性能。最后,
更新日期:2020-04-07
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