基于切换信号融合方法的线性切换系统异步镇定问题研究

项目名称： 基于切换信号融合方法的线性切换系统异步镇定问题研究

项目编号： No.61203123

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 自动化学科

项目作者： 赵旭东

作者单位： 渤海大学

项目金额： 24万元

中文摘要： 本项目将系统研究慢切换下线性切换系统的异步镇定问题，其中"异步"意味着系统模态间的切换与候选控制器间的切换存在一定的时滞。不同于在切换系统具有状态时滞、输入时滞等情况下系统的镇定设计，异步切换时滞给这类切换系统的控制器及切换信号设计带来了新的挑战。目前针对线性切换系统的异步控制问题研究主要采用扩展的类Lyapunov函数法，其只关注于闭环系统的稳定性控制设计，但是对提高闭环系统瞬态性能的镇定方法设计缺乏深入的研究，而系统的闭环性能是实际系统的重要指标。根据慢切换下线性切换系统的内在特点，本课题将有针对性地提出模型相关平均驻留时间（MDADT）切换信号，异步切换信号融合和状态转移矩阵分析等新概念、新思路和新方法来解决由异步切换带来的一些控制设计中的难点问题，并通过建立能够使闭环系统稳定且具有较好瞬态响应特性的切换规则及相应控制器的高效设计方法，给出线性切换系统的异步镇定条件。

中文关键词： 切换系统；异步控制；慢切换；；

英文摘要： The asynchronous stabilization problems for a class of slowly switched linear systems are systematically investigated in this project, where the so-called "asynchronous" indicates that the switchings between the system modes and the candidate controllers exist time delay. It will be theoretically challenging to design the switching signals associated with the corresponding controllers for switched systems in presence of asynchronous switching, which has been successfully solved for the systems with general time delays such as state delay, input delay, etc. Currently, some researchers utilize the extended Lyapunov-like function approach to study the asynchronous control problem for switched systems, and mainly focus on the stability of the closed-loop systems. However, for the asynchronously switched systems, little attention has been paid to the stabilization design on improving the transient performance which is of fundamental importance to numerous switched systems in practice. In view of the inherit features of slowly switched linear systems, this issue will propose some new concepts and ideas in the control synthesis of switched linear systems, such as mode-dependent average dwell time (MDADT) switching signals, combination of the asynchronous switching and the state transition matrix analysis, etc., to tac

英文关键词： Switched Systems；Asynchrounous Control；Slow Switching；；