基于隐Markov模型的广义Markov跳变系统的控制器设计  

Controller Design for Singular Markov Jump Systems Based on Hidden Markov Model

作　　者：赵俊杰[1] 李博[1] 杜友武 ZHAO Jun-jie;LI Bo;DU You-wu(Jiangsu University of Technology,Changzhou 213001,China)

机构地区：[1]江苏理工学院,江苏常州213001

出　　处：《扬州职业大学学报》2023年第1期28-34,共7页Journal of Yangzhou Polytechnic College

基　　金：国家自然科学青年基金(61903166);国家自然科学青年基金(61803186);常州市科技计划资助项目(CJ20220068)。

摘　　要：实际系统中普遍存在时滞、输入饱和等现象,给控制器设计带来一定难度。通过设计合适的李雅普诺夫函数,考虑广义跳变系统跳变点前后状态不一致、转移概率不完全可知等情况,设计状态反馈控制器。所得控制器保证闭环系统的指数稳定性,所得结果更加具有一般性,并通过仿真算例验证方法的有效性。Common phenomena such as time delay and input saturation,etc.in actual systems pose difficulties for controller design.By designing an appropriate Lyapunov function,the controller is designed considering the inconsistent state before and after the jump point of the singular Markov jump system and partially known transition probability.The obtained controller guarantees the exponential stability of the closed-loop system,and the results are more generalized.The effectiveness of the method is verified by a simulation example.

关 键 词：隐Markov 输入饱和 时滞 广义系统 转移概率部分未知 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]