不确定分布时滞系统的全局鲁棒滑模控制  

Global robust sliding mode control for uncertain systems with distributed delay

作　　者：田柳青 TIAN Liuqing(Department of electronic information,Lvliang Polytechnic Institute,Xiaoyi 032300,China)

机构地区：[1]吕梁职业技术学院电子信息系,山西孝义032300

出　　处：《系统仿真技术》2021年第3期203-209,共7页System Simulation Technology

摘　　要：针对在状态时滞和分布时滞中同时存在不确定性因素以及外部干扰的一类复杂分布时滞系统,设计了一种滑模控制器,以期实现全局鲁棒。首先,为了消除趋近模态,设计的滑模面包含状态初始条件和积分项,保证了全局鲁棒。其次,为保证滑模稳定,其充分条件通过构造Lyapunov泛函,转化成LMI的形式,方便求解。最后,根据滑模面的信息构造自适应律,克服了外部扰动的影响。根据设计的控制器进行Simulink建模,结果具有鲁棒性,降低了抖振。In this paper,a sliding mode controller to achieve global robustness is proposed for a class of complex distributed time-delay systems with external disturbances and the uncertainties both in the state time-delay and distributed time-delay.Firstly,in order to eliminate the approaching mode,the sliding mode is designed with initial state condition and integral term to ensure global robustness.Then in order to ensure the stability of sliding mode,the sufficient condition is transformed into LMI form which is convenient to solve by constructing Lyapunov functionals.Finally,an adaptive law is constructed according to the information of sliding surface to overcome the influence of external disturbance.The robustness of the control method is verified by SIMULINK and reduce the chattering.

关 键 词：不确定性 分布时滞 全局鲁棒滑模 LMI 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]