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Stabilization of a class of fractional order chaotic systems by nonlinear sliding mode

机译：非线性滑动模式稳定一类小数秩序混沌系统

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摘要

This paper investigates the stabilization problem of a class of fractional order chaotic systems with unknown modeling uncertainties and external perturbations. A fractional nonlinear sliding surface is proposed, and a reaching control law is obtained to guarantee the stability of the fractional chaotic system in finite time with just a single control input. And the simulation results are given to demonstrate the efficacy of the proposed nonlinear sliding mode control method.

机译：本文调查了一类小数秩序混沌系统的稳定问题，具有未知的建模不确定性和外部扰动。提出了一个分数非线性滑动表面，获得了达到的控制定律，以确保分数混沌系统的稳定性在有限时间内，只需单个控制输入。给出了模拟结果来证明所提出的非线性滑动模式控制方法的功效。

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来源
《Chinese Control Conference》|2018年|754p|共6页
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作者
Lijun Lin; Yongzhi Sheng;
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正文语种
中图分类自动控制、自动控制系统;
关键词
Mathematical model; Stability analysis; Uncertainty; Asymptotic stability; Perturbation methods; Switches;

机译：数学模型;稳定性分析;不确定性;渐近稳定性;扰动方法;开关;

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专利

1. Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller [J] . Mohammad Pourmahmood Aghababa Communications in Nonlinear Science and Numerical Simulation . 2012,第6期

机译：一类分数阶混沌系统的鲁棒镇定与同步
2. Response to the comments on 'Design of sliding mode controller for a class of fractional-order chaotic systems' [Commun Nonlinear Sci Numer Simulat 2012;17:356-66] [J] . Chun Yin, Shou-ming Zhong, Wu-fan Chen Communications in Nonlinear Science and Numerical Simulation . 2012,第12期

机译：对“一类分数阶混沌系统的滑模控制器设计”评论的回应[Commun Nonlinear Sci Numer Simulat 2012; 17：356-66]
3. Comments on "Design of sliding mode controller for a class of fractional-order chaotic systems" [Commun Nonlinear Sci Numer Simulat 17 (2012) 356-366] [J] . Mohammad Pourmahmood Aghababa Communications in Nonlinear Science and Numerical Simulation . 2012,第3期

机译：关于“一类分数阶混沌系统的滑模控制器的设计”的评论[Commun Nonlinear Sci Numer Simulat 17（2012）356-366]
4. Stabilization of a class of fractional order chaotic systems by nonlinear sliding mode [C] . Lijun Lin, Yongzhi Sheng Chinese Control Conference . 2018

机译：一类分数阶混沌系统的非线性滑模镇定
5. Optimal sliding mode control and stabilization of underactuated systems. [D] . Xu, Rong. 2007

机译：最佳的滑模控制和欠驱动系统的稳定性。
6. Stabilization of Port Hamiltonian Chaotic Systems with Hidden Attractors by Adaptive Terminal Sliding Mode Control [O] . Ahmad Taher Azar, Fernando E. Serrano 2020

机译：自适应终端滑动模式控制与隐藏吸引子港汉密尔顿混沌系统稳定
7. Robust Control of a Class of Uncertain Fractional-Order Chaotic Systems with Input Nonlinearity via an Adaptive Sliding Mode Technique [O] . Xiaomin Tian, Shumin Fei 2014

机译：一类具有输入非线性的不确定分数阶混沌系统的鲁棒自适应滑模控制

Stabilization of a class of fractional order chaotic systems by nonlinear sliding mode

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