Robust control for uncertain variable fractional order differential systems considering time-varying delays and nonlinear perturbations

Wang Chunxiu; Zhou Xingde; Shi XianzengJin Yitong

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Robust control for uncertain variable fractional order differential systems considering time-varying delays and nonlinear perturbations

机译：Robust control for uncertain variable fractional order differential systems considering time-varying delays and nonlinear perturbations

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摘要

The robust control for uncertain variable fractional order time-varying delayed differential systems with nonlinear perturbations are concerned in this article. Firstly, by introducing a novel form of the control law which is inspired by the sliding mode design, a new state feedback controller is built. Besides, a specific and comprehensive Lyapunov-Krasovskii function is adopted to deduce the sufficient conditions for the stability and robust stabilization of the system by using some linear matrix inequalities. In addition, the controller gain matrix can also be derived from the point of stability. Finally, two comparison examples are presented to demonstrate the effectiveness of the proposed control technique. The simulation results show that this method can make the state variables converge to the steady ones more quickly and stably.

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来源
《Optimal Control Applications and Methods》 |2022年第3期|979-993|共15页
作者
Wang Chunxiu; Zhou Xingde; Shi XianzengJin Yitong;
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作者单位

Hohai Univ;

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原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
linear matrix inequality; nonlinear perturbation; robust stability; time-varying delay; variable fractional order; VALUED NEURAL-NETWORKS; STABILITY ANALYSIS; FINITE-TIME; SYNCHRONIZATION; STABILIZATION; ALGORITHM;

Robust control for uncertain variable fractional order differential systems considering time-varying delays and nonlinear perturbations

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