具有连续分布时滞的切换分布参数系统反馈控制  

Feedback Control for Switched Distributed Parameter Systems with Continuous Time Delay

作　　者：鲍乐平 李腾辉 BAO Le-ping;LI Teng-hui(Department of Automation,Taiyuan Institute of Technology,Taiyuan 030008,China;School of Electronic Information Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原工业学院自动化系,太原030008 [2]太原科技大学电子信息工程学院,太原030024

出　　处：《科学技术与工程》2020年第35期14543-14547,共5页Science Technology and Engineering

基　　金：国家留学基金(201808140223);国家自然科学基金(11661020)。

摘　　要：针对一类具有连续分布时滞的切换分布参数系统的反馈控制问题进行了研究。通过构造切换Lyapunov-Krasovskii函数,利用Poincare不等式、Jensen不等式,采用线性矩阵不等式(linear matrix inequality,LMI)方法,得到了该闭环系统渐近稳定的条件并设计了状态反馈控制器以及切换规则。和已有具有连续分布时滞的分布参数系统的结果比较,充分考虑了该类具有连续分布时滞的分布参数切换系统中Laplace算子系数对系统的影响。研究结果是已有具有连续分布时滞的分布参数系统反馈控制结论的改进和推广。最后,给出了数值例子说明设计方法的有效性和优越性。The feedback control for switched distributed parameter system with continuous distributed time-delay was considered.By constructing switched Lyapunov-Krasovskii functions,an asymptotical stability’s condition of the closed-loop system was given.It uses methods as Poincare inequality,Jensen inequality and linear matrix inequalities(LMI)method.Furthermore,the state feedback controller and the switching law were designed.Compared with the result of distributed parameter system with continuous distributed time-delay,the research considered the influence of the Laplacian coefficient.And the obtained result could be regarded as the extension of control for distributed parameter system with continuous distributed time-delay.Finally,numerical examples were given to illustrate the validity and advantages of the results.

关 键 词：切换系统 分布参数系统 分布时滞 反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]