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Adaptive Control Design for a Class of Uncertain High‐Order Nonlinear Systems with Time Delay
Author(s) -
Sun ZongYao,
Liu YunGang
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.895
Subject(s) - control theory (sociology) , integrator , nonlinear system , convergence (economics) , adaptive control , controller (irrigation) , stability (learning theory) , computer science , class (philosophy) , full state feedback , state (computer science) , control engineering , control (management) , engineering , algorithm , computer network , physics , bandwidth (computing) , quantum mechanics , artificial intelligence , machine learning , agronomy , economics , biology , economic growth
This paper is concerned with adaptive stabilization for a class of uncertain high‐order nonlinear systems with time delays. To the authors' knowledge, there has been no analogous result. Hence during investigation, the conditions on delay effect and the control design framework should be established for the first time. In this paper, under somewhat necessary restrictions on the system nonlinearities, by the method of adding a power integrator and the related adaptive technique, a procedure is developed to design the continuous adaptive state‐feedback controller without overparametrization. Moreover, the uniform stability and convergence of the resulting closed‐loop system are rigorously proven, with the aid of a suitable L yapunov‐ K rasovskii functional. Finally, a numerical example is provided to illustrate the effectiveness of the theoretical result.