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A new approach to stabilization of high‐order nonlinear systems with an asymmetric output constraint
Author(s) -
Chen ChihChiang,
Chen GuanShiun
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.4798
Subject(s) - control theory (sociology) , nonlinear system , constraint (computer aided design) , integrator , lyapunov function , constructive , controller (irrigation) , state (computer science) , novelty , computer science , function (biology) , mathematical optimization , mathematics , control (management) , process (computing) , algorithm , artificial intelligence , quantum mechanics , computer network , philosophy , theology , bandwidth (computing) , evolutionary biology , agronomy , biology , operating system , physics , geometry
Summary This paper is concerned with the problem of state feedback stabilization for a class of high‐order nonlinear systems with an asymmetric output constraint. A novel asymmetric barrier Lyapunov function (BLF) is first proposed by deliberating the characteristics of the system nonlinearities. Then, the presented BLF, together with a skillful manipulation of sign functions, is utilized to delicately revamp the technique of adding a power integrator, thereby developing a systematic approach that guides us in constructing a continuous state feedback stabilizer and preventing the violation of a pre‐specified asymmetric output constraint during operation. The novelty of this paper is attributed to the development of a unified method that is able to simultaneously tackle the problem of stabilization for high‐order nonlinear systems with and without output constraints in a constructive fashion, without changing the controller structure. An illustrative example is presented to demonstrate the superiority of the proposed approach.