引用本文:肖会敏,孟欣.一类不确定广义时滞系统的H自适应控制[J].控制与决策,2019,34(10):2157-2163
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一类不确定广义时滞系统的H自适应控制
肖会敏1, 孟欣2
(1. 河南财经政法大学计算机与信息工程学院,郑州450003;2. 中国海洋大学数学科学学院,山东青岛266100)
摘要:
针对一类具有外部扰动的不确定广义时滞系统,首先,设计一个积分型滑模面函数,基于Lyapunov稳定性理论,并结合线性矩阵不等式等技术,给出该滑动模态方程鲁棒渐近稳定的一个充分性判据;然后,通过设计一个新型的自适应滑模控制器,使得该闭环系统的状态可在有限时间内到达滑模面并作滑动运动;最后,通过一个数值仿真例子验证所提出的方法是有效可行的.
关键词:  广义系统  滑模控制  自适应控制  可容许性
DOI:10.13195/j.kzyjc.2018.0141
分类号:TP273
基金项目:国家自然科学基金项目(61374079).
Adaptive H control for a class of uncertain singular time-delay systems
XIAO Hui-min1,MENG Xin2
(1. School of Computer and Information Engineering,Henan University of Finance and Economics,Zhengzhou450003,China;2. School of Mathematical Sciences,Ocean University of China,Qingdao266100,China)
Abstract:
An integral sliding surface with a compensator is constructed for a class of uncertain singular time-delay systems with external disturbance in this paper. Firstly, based on the Lyapunov stability theory and linear matrix inequality, a robust asymptotically stability criterion is presented for sliding mode dynamics with all admissible uncertainties under some decay rate. Then, a new adaptive sliding mode control law is designed to make sure that the trajectories of the sliding mode dynamics can be driven to a region near equilibrium point in finite time. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.
Key words:  singular systems  sliding mode control  adaptive control  admissibility

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