Non-Monotonic Lyapunov-Krasovskii Functional Approach to Stability Analysis and Stabilization of Discrete Time-Delay Systems

被引：0

作者：

Younes Solgi ^{[1
]}

Alireza Fatehi ^{[2
,1
]}

Ala Shariati ^{[1
]}

机构：

[1] the Advanced Process Automation and Control Research Group, Industrial Control Center of Excellence, Faculty of Electrical Engineering, K.N.Toosi University of Technology

[2] IEEE

来源：

IEEE/CAA Journal of Automatica Sinica | 2020年 / 7卷 / 03期

关键词：

Linear matrix inequality(LMI); non-monotonic Lyapunov-Krasovskii functional(NMLKF); pH neutralization plant; stabilization; state-delay system; time-delay system;

D O I：

暂无

中图分类号：

O231 [控制论（控制论的数学理论）];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of the Lyapunov-Krasovskii theorem. In this regard, the Lyapunov-Krasovskii functional is allowed to increase in a few steps, while being forced to be overall decreasing. As a result, it relays on a larger class of Lyapunov-Krasovskii functionals to provide stability of a state-delay system. To this end, using the non-monotonic Lyapunov-Krasovskii theorem, new sufficient conditions are derived regarding linear matrix inequalities(LMIs)to study the global asymptotic stability of state-delay systems.Moreover, new stabilization conditions are also proposed for time-delay systems in this article. Both simulation and experimental results on a p H neutralizing process are provided to demonstrate the efficacy of the proposed method.

引用

页码：752 / 763

页数：12

共 27 条

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