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广义分数阶Sprott-C混沌系统的有限时间滑模同步
Finite-Time Sliding-Mode Synchronization of Generalized Fractional-Order Sprott-C Chaotic System
【摘要】 利用分数阶有限时间稳定性理论,通过构造合适的分数阶滑动模态超曲面,设计一种含有有限时间控制作用的分数阶控制器,以实现广义Sprott-C驱动-响应系统的滑模同步控制.结合自适应控制策略,利用参数更新律对未知参数和扰动上界进行准确估计,并选取适当的控制和系统参数,利用MATLAB数值仿真,验证所得结果的正确性和有效性.
【Abstract】 By using the fractional-order finite-time stability theory,and constructing a proper fractional-order sliding-mode hyper surface,a fractional-order controller with finite-time control was designed to realize the sliding-mode synchronization control of generalized drive-response Sprott-C systems.Combined with adaptive control strategy,the unknown parameters and the upper bounds of disturbance were accurately estimated by using parameter update laws.The correctness and validity of the results were verified by MATLAB numerical simulation with appropriate control and system parameters.
【Key words】 finite-time stability theory; fractional-order; sliding-mode control; parameter estimation; adaptive control;
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2019年04期
- 【分类号】O415.5;O231
- 【被引频次】19
- 【下载频次】139