具有执行器饱和的广义随机系统的滑模自适应控制  

Sliding Mode Adaptive Control for Singular Stochastic Systems with Time-Delay and Uncertainty

作　　者：张钟月 苏晓明[1] 

机构地区：[1]沈阳工业大学理学院,辽宁 沈阳

出　　处：《理论数学》2021年第5期776-789,共14页Pure Mathematics

摘　　要：本文主要研究了具有时滞不确定性的广义随机系统的滑模自适应控制问题。首先设计了适合可行的积分型滑模面函数,进一步求得等效控制器,从而得到了闭环系统,利用LMI和李雅普诺夫函数理论,得到闭环系统带有H∞扰动衰减水平的容许性;设计一种新的自适应滑模控制率,保证了滑模面的有限时间可达性。最后,用一个算例仿真证明了本文所提方法的有效性。In this paper, the problem of adaptive sliding mode control for singular stochastic systems with delay uncertainties is studied. Firstly, a suitable and feasible integral sliding mode surface function is designed, and the equivalent controller is obtained to get the closed-loop system. By using LMI and Lyapunov function theory, the permissibility of the closed-loop system with disturbance attenuation level is obtained. A new adaptive sliding mode control rate is designed to ensure the finite time accessibility of the sliding mode surface. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

关 键 词：广义随机系统 滑模控制 自适应控制 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]