%0 Journal Article
%T 一类不确定广义时滞系统的H∞自适应控制
%T Adaptive H∞ control for a class of uncertain singular time-delay systems
%A 肖会敏
%A 孟欣
%A XIAO,Hui min
%A MENG,Xin
%J 控制与决策
%J Control and Decision
%@ 1001-0920
%V 34
%N 10
%D 2019
%P 2157-2163
%K 广义系统;滑模控制;自适应控制;可容许性
%K singular systems;sliding mode control;adaptive control;admissibility
%X 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.
%X 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.
%R 10.13195/j.kzyjc.2018.0141
%U http://kzyjc.alljournals.cn/kzyjc/home
%1 JIS Version 3.0.0