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Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems
Author(s) -
Wang Fenglan,
Long Lijun
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5155
Subject(s) - control theory (sociology) , backstepping , dwell time , computer science , nonlinear system , lyapunov function , exponential stability , interval (graph theory) , controller (irrigation) , asynchronous communication , control (management) , adaptive control , control engineering , mathematics , engineering , artificial intelligence , medicine , clinical psychology , physics , quantum mechanics , agronomy , biology , computer network , combinatorics
Summary This article presents a novel event‐triggered adaptive control approach to solve the stabilization problem of a class of switched strict‐feedback nonlinear systems with parameter uncertainties. The proposed approach achieves that subsystem controllers and switched update laws of subsystems are both event‐triggered under a dwell‐time. Also, the proposed approach effectively handles the asynchronous switching between the candidate controllers of subsystems and subsystems when the switching occurs in consecutive triggering interval. By exploiting the backstepping technique and the common Lyapunov function method, the subsystem controllers and the switched update laws of subsystems and their event‐triggered mechanism are designed to guarantee asymptotic stability of the switched closed‐loop systems. Also, compared with the existing literature on event‐triggered control of switched systems, the ISS assumption with respect to the measurement error is removed in this article. The existence of strict positive lower bound on inter‐event time is proved to exclude Zeno phenomenon of sampling, which is an undesirable behavior in practical systems. Finally, a numerical example and a mass‐spring‐damper system are provided to demonstrate the effectiveness of the proposed approach.