基于小增益方法的任意切换非线性系统无限网络的分散定时均匀ISS镇定

IF 2.5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS European Journal of Control Pub Date : 2023-11-01 DOI:10.1016/j.ejcon.2023.100864
Svyatoslav Pavlichkov, Naim Bajcinca
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引用次数: 0

摘要

本文证明了具有未知交换信号的非线性互连系统组成的无穷网络的一个新定理。每个子系统都具有不可控线性化的下三角形式,更具体地说,它具有所谓的“广义多项式积分器”的下三角形式。为了解决这一问题,我们在无穷大网络的h∞-定时均匀输入-状态稳定性上引入了一个新的小增益定理,并重新设计了以前的几种逆推分散镇定算法。特别地,我们的主要结果概括了最近几个相关的结果。
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Decentralized fixed-time uniform ISS stabilization of infinite networks of switched nonlinear systems with arbitrary switchings by small gain approach

We prove a new theorem on -fixed-time uniform ISS decentralized stabilization of infinite networks composed of interconnected switched nonlinear systems with unknown switching signals. Each subsystem has the lower-triangular form with uncontrollable linearization, more specifically, it has the lower-triangular form with the so-called “generalized polynomial integrators”. To solve this problem, we use a new small gain theorem on -fixed-time uniform input-to-state stability of infinite networks and redesign several previous backstepping algorithms of decentralized stabilization. In particular, our main result generalizes several recent related ones.

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来源期刊
European Journal of Control
European Journal of Control 工程技术-自动化与控制系统
CiteScore
5.80
自引率
5.90%
发文量
131
审稿时长
1 months
期刊介绍: The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.
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