切换关联时滞系统的非脆弱分散控制

项目名称： 切换关联时滞系统的非脆弱分散控制

项目编号： No.61304059

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 侯林林

作者单位： 曲阜师范大学

项目金额： 23万元

中文摘要： 本项目研究切换关联时滞系统的非脆弱分散控制问题。基于关联系统理论和申请人已有的切换时滞系统的研究成果，充分考虑关联系统的强耦合性，应用切换的方法研究关联系统的稳定性和分散控制器设计问题。主要内容如下：1) 给出任意切换下切换关联时滞系统稳定且满足指数 L2-L∞ 性能指标的条件；给出依赖于时间或状态的分散切换律的设计方法，并建立切换关联时滞系统稳定且满足指数 L2-L∞ 性能指标的条件。 2) 在同步切换情形下，设计与分散切换律相关的动态输出反馈分散控制器，并保证系统的指数L2-L∞性能；考虑控制器实现过程中参数的不确定性，设计非脆弱动态输出反馈分散控制器，并保证系统的指数L2-L∞性能。3) 在异步切换情形下，给出异步分散切换律的设计方法，并设计与异步分散切换律相关的非脆弱动态输出反馈分散控制器。4) 应用河水污染防治系统的实际例子验证所得结论的可行性和有效性。

中文关键词： 切换关联系统；；时变时滞；；非脆弱控制；；异步切换；；抗干扰控制

英文摘要： This project studies the problem of non-fragile decentralized control for switched interconnected time-delay systems. Based on the interconnected system theory and the results that the applicant has already obtained on switched time-delay systems, fully considering the strong-coupling of interconnected terms and utilizing switched methods, the project investigates the stability and controller design for switched interconnected systems. It mainly includes the following parts: 1) The conditions of stability with exponential L2-L∞ performance will be studied under the arbitrarily switching law and the switching law depending on time or state, respectively. 2) In the case of synchronous switching, the dynamic output feedback decentralized controller will be designed, which is related to the decentralized switching law, and, simultaneously, the exponential L2-L∞ performance will be satisfied. Further, considering the parameter uncertainty of the controllers, the non-fragile dynamic output feedback decentralized controller will be proposed, and the exponential L2-L∞ performance will also be guaranteed at the same time. 3) In the asynchronous switching case, the design method of asynchronous switching law will be presented, and the non-fragile dynamic output feedback decentralized controller which is related to the asy

英文关键词： Switched interconnected systems;；Time-vary delay;；Non-fragile control;；Asynchronous switching;；Anti-disturbance control