Global state control for a class of inherently higher‐order parameterized nonlinear time‐delay systems based on homogeneous domination approach | Zendy

Chai Lin | Zendy; Wang Pan | Zendy; Fei Shumin | Zendy

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Global state control for a class of inherently higher‐order parameterized nonlinear time‐delay systems based on homogeneous domination approach

Author(s) -

Chai Lin,

Wang Pan,

Fei Shumin

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.4405

Subject(s) - parameterized complexity , control theory (sociology) , nonlinear system , lyapunov function , constructive , class (philosophy) , controller (irrigation) , state (computer science) , backstepping , homogeneous , mathematics , integrator , sign function , computer science , adaptive control , control (management) , algorithm , physics , mathematical analysis , process (computing) , computer network , quantum mechanics , artificial intelligence , combinatorics , bandwidth (computing) , agronomy , biology , operating system

Summary This paper addresses the problem of global state feedback stabilization for a class of inherently higher‐order parameterized nonlinear systems subject to time delay. By using the homogeneous domination approach, we construct a homogeneous state feedback controller with an adaptive strategy. A constructive design method is developed based an effective coupling of the inductive method and a sign function, leading to adaptive regulators with minimal parameterization. With the aid of a homogeneous Lyapunov‐Krasovskii functional, the closed‐loop systems can be asymptotically stabilized globally.

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