Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/acs.2021.136881

M. Niezabitowski, S. Popova, V. Zaitsev

引用次数: 0

Abstract

Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Examples of using the obtained results are presented.

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具有周期系数仿射离散系统一致全局渐近镇定的充分条件

研究了仿射离散周期控制系统。研究了利用状态反馈实现闭环系统零平衡点的全局渐近镇定问题。假定自由动力系统具有李雅普诺夫稳定零平衡。将构造阻尼控制的方法从定常系统推广到时变周期仿射离散系统。利用该方法，得到了系统一致全局渐近镇定的充分条件。给出了应用所得结果的实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.