This article investigates the adaptive finite/fixed-time stabilizing control problem for a class of uncertain nonlinear systems. Remarkably, the studied system allows the nonlinear parametric uncertainties. Compared with the existing results on adaptive finite/fixed-time stabilizing control, the proposed state feedback stabilizing process consists of the first phase of steering the system states into a region of the fixed-time stability in finite-time and the second phase of further driving the states to the origin in fixed-time, while the other signals in closed-loop system are kept bounded. The adaptive finite/fixed-time stabilizing control scheme is developed using a recursive design method, which is inspired by the adding-a-power-integrator technique. The proof is based on the nonsmooth finite/fixed-time Lyapunov stability theorem developed recently for nonlinear control systems. The angular set-point stabilizing control of a pendulum system is used to demonstrate the effectiveness of the presented algorithm.
机构:
College of Mathematical Sciences, Bohai University, JinzhouNavigation College, Dalian Maritime University, Dalian
Wang H.
Li T.
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Navigation College, Dalian Maritime University, Dalian
School of Automation Engineering, University of Electronic Science and Technology of China, ChengduNavigation College, Dalian Maritime University, Dalian
Li T.
Xu K.
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机构:
College of Mathematical Sciences, Bohai University, JinzhouNavigation College, Dalian Maritime University, Dalian
机构:
Bohai Univ Jinzhou, Coll Math Sci, Jinzhou 121000, Liaoning, Peoples R ChinaBohai Univ Jinzhou, Coll Math Sci, Jinzhou 121000, Liaoning, Peoples R China
Wang, Huanqing
Ai, Ze
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Bohai Univ Jinzhou, Coll Math Sci, Jinzhou 121000, Liaoning, Peoples R ChinaBohai Univ Jinzhou, Coll Math Sci, Jinzhou 121000, Liaoning, Peoples R China