连续线性切换系统的镇定慢切换设计  

Stabilizing slow-switching strategy for continuous-time switched linear systems

作　　者：熊建栋 刘永奇 沈志萍[1,2] 伍俊[4] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007 [2]河南师范大学大数据统计分析与优化控制河南省工程实验室,河南新乡453007 [3]北京师范大学珠海分校应用数学学院,广东珠海519087 [4]佛山科学技术学院机械与电气工程学院,广东佛山528000

出　　处：《控制与决策》2016年第5期797-804,共8页Control and Decision

基　　金：河南师范大学博士启动基金项目(qd13038);广东省教育厅项目(2014KTSCX156);佛山市高校和医院科研基础平台建设项目(2014AG10018);河南省科技攻关项目(162102210265)

摘　　要：针对含有两个不稳定子系统的线性切换系统,设计一种包含时间驱动和状态驱动两个环节的切换法则,使线性切换系统稳定.在该切换法则下,系统的类Lyapunov函数在两个环节都不需要严格单调递减,使得系统在每个子系统有更长的驻留时间,从而有效降低系统的切换频率.在适当的假设条件下,带时变扰动的线性切换系统在该切换信号下具有良好的鲁棒稳定性.基于此,当系统可观测时,进一步设计了基于观测器的混合切换法则,实现了系统的鲁棒稳定.By combining a time-driven mechanism with a state-driven mechanism, a new switching strategy is designed to stabilize the switched linear systems with two unstable subsystems. Under this strategy, the Lyapunov-like function of the system is not necessary to be decreasing in both time-driven and state-driven mechanisms, which permits the subsystems to have a longer dwell-time to reduce the switching frequency remarkably. For suitable assumptions on the system dynamics,the system with time-varying disturbances has a good robust stability under the designed switching strategy. Moreover, when the system is observable, an observer-based combined switching law is designed, which robustly stabilizes the perturbed systems.

关 键 词：切换线性系统 切换频率 观测器 鲁棒性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]