Local Stabilization for Multiple Input-Delay Systems Subject to Saturating Actuators: The Continuous-Time Case

被引：15
作者：
Chen, Yonggang [1 ]
Wang, Zidong [2 ,3 ]
Shen, Bo [4 ]
Han, Qing-Long [5 ]
机构：
[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Henan, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Elect Engn & Automat, Qingdao 266590, Peoples R China
[3] Brunel Univ London, Dept Comp Sci, Uxbridge UB8 3PH, Middx, England
[4] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[5] Swinburne Univ Technol, Sch Software & Elect Engn, Melbourne, Vic 3122, Australia
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Delays; Actuators; Control systems; Symmetric matrices; Linear matrix inequalities; Delay effects; Control theory; Continuous-time systems; control systems; local stabilization; multiple input delays; saturating actuators; LINEAR-SYSTEMS; REGIONAL STABILIZATION; STABILITY ANALYSIS; NETWORKS SUBJECT; FEEDBACK-CONTROL; DESIGN; DROPOUT;
D O I：
10.1109/TAC.2021.3092556
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this article, the local stabilization problem is dealt with for a class of continuous-time multiple input-delay systems subject to saturating actuators. Using the generalized sector conditions and the piecewise Lyapunov-Krasovskii functional, and carrying out rigorous mathematical deduction, a sufficient condition is established under which the closed-loop dynamics is exponentially stable for admissible initial conditions. Subsequently, the explicit characterization of controller gains is obtained in terms of the solvability of linear matrix inequalities. The special cases concerning the constant and single delays are also discussed. Moreover, optimization problems are proposed to maximize the estimate of the domain of attraction. Finally, two examples are given to show the effectiveness and advantages of the obtained results.
引用
收藏
页码：3090 / 3097
页数：8
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