鲍乐平,李腾辉. 具有连续分布时滞的切换分布参数系统反馈控制[J]. 科学技术与工程, 2020, 20(35): 14543-14547.
BAO Le-ping,LI Teng-hui.Feedback Control for Switched Distributed ParameterSystems with Continuous Time Delay[J].Science Technology and Engineering,2020,20(35):14543-14547. |
| 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 ParameterSystems with Continuous Time Delay |
| 投稿时间：2019-12-15 修订日期：2020-08-30 |
| DOI： |
| 中文关键词: 切换系统 分布参数系统 分布 时滞 反馈控制 |
| 英文关键词:switched system distributed parameter system distributed time-delay feedback control |
| 基金项目:国家自然科学基金(No.11661020)；国家留学基金（No.201808140223） |
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| 中文摘要: |
| 本文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(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,本文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。本文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所给设计方法的有效性和优越性。 |
| 英文摘要: |
| The feedbackSScontrol for switched distributed parameter system with continuous distributed time-delay is considered. By constructing switched Lyapunov-Krasovskii functions, using poincare inequalit, Jensen inequality and employing linear matrix inequalities method, an asymptotical stability’s condition of the closed-loop system is given. Furthermore, the state feedback controller and the switching law are designed. Compared with the result of distributed parameter system with continuous distributed time-delay, on the one hand, the research considered the influence of the Laplacian coefficient; on the other hand, the obtained result can be regarded as the extension of control for distributed parameter system with continuous distributed time-delay. Finally, numerical examples are given to illustrate the validity and merit of the result. |
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