Exponential small-gain theorem and fault tolerant safe control of interconnected nonlinear systems

被引：12

作者：

Yang, Hao ^{[1
]}

Zhang, Chencheng ^{[1
]}

An, Zixin ^{[1
]}

Jiang, Bin ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Automat Engn, Nanjing 211106, Peoples R China

来源：

AUTOMATICA | 2020年 / 115卷

基金：

中国国家自然科学基金;

关键词：

Interconnected nonlinear system; Small-gain theorem; Fault tolerant safe control; LARGE-SCALE SYSTEMS; LYAPUNOV FORMULATION; CONSTRUCTION; NETWORKS; STABILITY;

D O I：

10.1016/j.automatica.2020.108866

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers a class of interconnected nonlinear systems where each subsystem, in the absence of coupling, is individually exponentially stable. The cyclic-small-gain theorem is significantly extended in such a way that the interconnected system is proved to be globally exponentially stable, an exponential converging upper bound of state norm is obtained which fully reveals the relations between the gains, the decay rate and the upper bound of the states. The new result is further applied to fault tolerant safe control problem of interconnected nonlinear systems. A fault recoverability condition with respect to safety is established, under which both individual and cooperative fault tolerant safe control strategies are provided under the decentralized control structure. This guarantees that the states are always within a given safe domain in the presence of faults. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：10

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