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author:

Su, Youfeng (Su, Youfeng.) [1] | Lee, Ti-Chung (Lee, Ti-Chung.) [2] | Cai, He (Cai, He.) [3] | Chen, Xiaofeng (Chen, Xiaofeng.) [4]

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Abstract:

The solvability of certainty equivalence control problems for discrete-time multiagent systems over uniformly jointly connected switching networks relies on the stability/attractivity analysis for a class of perturbed switched systems with respect to a set of switching signals. To tackle this issue, in this article, a novel systematic and unified framework is established consisting of three key stability/attractivity results. First, the uniform global exponential stability for two dual cases of the nominal dynamics is analyzed in a unified way by checking the weak zero-state detectability from the limiting systems. Second, the uniform global exponential attractivity of the perturbed switched systems accommodating both first-order and zero-order time-varying perturbations is studied without resorting to any Lyapunov function for the entire perturbed switched systems. Third, the uniform global κ-exponential stability for a class of cascaded switched systems is investigated. These stability/attractivity results together lay the foundation to thoroughly solve two kinds of typical certainty equivalence control problems, and also improve two specific cooperative control designs. Moreover, a relaxed dwell-time condition is considered, which makes the obtained results tolerable in the extreme case of instantaneous link failure and restoration. Finally, the control performances are shown by numerical simulations. © 1963-2012 IEEE.

Keyword:

Continuous time systems Discrete time control systems Equivalence classes Lyapunov functions Lyapunov methods Multi agent systems Perturbation techniques

Community:

  • [ 1 ] [Su, Youfeng]Fuzhou University, College of Computer and Data Science, Fuzhou; 350116, China
  • [ 2 ] [Lee, Ti-Chung]National Sun Yat-sen University, Department of Electrical Engineering, Kaohsiung; 804201, Taiwan
  • [ 3 ] [Cai, He]South China University of Technology, School of Automation Science and Engineering, Guangzhou; 510641, China
  • [ 4 ] [Chen, Xiaofeng]Fuzhou University, School of Mathematics and Statistics, Fuzhou; 350116, China

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Source :

IEEE Transactions on Automatic Control

ISSN: 0018-9286

Year: 2023

Issue: 12

Volume: 68

Page: 7660-7675

6 . 2

JCR@2023

6 . 2 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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