连续线性切换系统的镇定慢切换设计

• 作 者: 熊建栋 刘永奇 沈志萍 伍俊
• 机 构: 河南师范大学数学与信息科学学院,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,北京师范大学珠海分校应用数学学院,佛山科学技术学院机械与电气工程学院,
• 出 处: 控制与决策
• 发表日期: 2016年05期
• 关键词: 切换系统 切换线性系统 切换频率 切换信号 观测器 鲁棒性 时间驱动 鲁棒稳定性 线性系统 子系统

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.

Aiming at the linear switching system with two unstable subsystems, a switching rule including time-driven and state-driven is designed to stabilize the linear switching system. Under the switching law, the system-like Lyapunov function is implemented in two steps Do not need to be strictly monotonically decreasing, so that the system has a longer residence time in each subsystem, thus effectively reducing the switching frequency of the system.Under appropriate assumptions, the linear switching system with time-varying perturbations has Good robust stability.On this basis, when the system can be observed, the observer-based hybrid switching law is further designed and the robust stability of the system is achieved.