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Robust resilient control for parametric strict feedback systems with prescribed output and virtual tracking errors
Author(s) -
Gao Shigen,
Dong Hairong,
Zheng Wei
Publication year - 2019
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.4713
Subject(s) - control theory (sociology) , parametric statistics , nonlinear system , resilience (materials science) , tracking error , control (management) , function (biology) , computer science , tracking (education) , scheme (mathematics) , robust control , adaptive control , nonlinear control , mathematics , mathematical optimization , artificial intelligence , statistics , psychology , mathematical analysis , pedagogy , physics , quantum mechanics , evolutionary biology , biology , thermodynamics
Summary This paper investigates the robust resilient control problem for a class of parametric strict feedback nonlinear systems with prescribed output and virtual tracking errors performance. The resilience is governed by a continuously nonlinear control gains function, which endows the virtual and actual controllers with self‐adjusting abilities with respect to transformed error surfaces. The proposed control scheme is adaptation, estimation, and approximation‐free in the presence of unknown parameters and nonlinearities, and only a number of control gains, which is equal to the relative degree of the considered plants, need to be selected in applications. It is proved by rigorous analysis that the output tracking errors are confined in predefined prescribed performance functions under some nonrestrictive initial conditions, and the bounds of states are obtained characterized as control gains and systemic function‐associated constants. Finally, comparative illustrative examples are given to demonstrate the effectiveness of the proposed control scheme.