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。
By using the fractional-order finite-time stabil ity 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 Spr ott-C systems. Combined with adaptive control strategy,the unknown parameters and the upper bounds of disturba nce 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.
作者
闫丽宏
YAN Lihong(College of Mathematics and Information Science,Xianyang Normal University,Xianyang 712000,Shaanxi Province,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第4期940-946,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:61573013)
陕西省自然科学基金(批准号:2014JM2-1002)
陕西省教育厅专项科研计划项目(批准号:18JK0829)
关键词
有限时间稳定性理论
分数阶
滑模控制
参数估计
自适应控制
finite-time stability theory
fractional-order
slidi ng-mode control
parameter estimation
adaptive control
