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A unified approach to finite‐time stabilization of high‐order nonlinear systems with and without an output constraint
Author(s) -
Chen ChihChiang
Publication year - 2018
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.4393
Subject(s) - constraint (computer aided design) , nonlinear system , control theory (sociology) , integrator , lyapunov function , function (biology) , computer science , class (philosophy) , state (computer science) , sign (mathematics) , mathematical optimization , simple (philosophy) , mathematics , algorithm , control (management) , artificial intelligence , physics , geometry , quantum mechanics , computer network , mathematical analysis , philosophy , bandwidth (computing) , evolutionary biology , epistemology , biology
Summary This paper considers the problem of state feedback finite‐time stabilization for a class of high‐order nonlinear systems with an output constraint. By proposing a novel t a n ‐type barrier Lyapunov function combined with manipulating sign functions, the technique of adding a power integrator is skillfully revamped to develop a systematic approach that guides us to construct a state feedback finite‐time stabilizer for high‐order nonlinear systems while preventing the violation of a prespecified output constraint during operation. The proposed approach is a unified tool in the sense that it can provide a finite‐time stabilizer design even when the constraint is infinite, or equivalently, there is no need for a constraint. A simple example is presented to demonstrate the effectiveness of the proposed strategy.