Stability analysis of Lur'e indirect control systems with time delay and multiple nonlinearities

被引：0
|
作者：
Aleksandrov, Alexander [1 ]
Andriyanova, Natalya [1 ]
机构：
[1] St Petersburg State Univ, 7 9 Universitetskaya Nab, St Petersburg 199034, Russia
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2023年 / 11卷 / 6期
关键词：
Lur'e indirect control system; Sector nonlinearity; Asymptotic stability; Delay; Complete-type Lyapunov-Krasovskii functional; Averaging method; ABSOLUTE STABILITY;
D O I：
10.1007/s40435-023-01174-w
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 paper, Lur'e indirect control systems with sector-type nonlinearities and a constant delay in the feedback law are studied. With the aid of an original construction of complete-type Lyapunov-Krasovskii functional, new conditions of the delay-independent asymptotic stability for the zero solutions of the considered systems are obtained. Furthermore, estimates for convergence rate of solutions are derived and stability robustness is analyzed. Finally, using a modification of the averaging approach, conditions are found under which time-varying perturbations with zero mean values do not disturb the stability of the zero solutions. Results of numerical simulations are presented confirming the theoretical conclusions.
引用
收藏
页码：3074 / 3083
页数：10
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