离散多平衡点正切换系统有限区间稳定与镇定

发布时间：2018-02-25 02:18

  本文关键词： 正切换线性系统 多平衡点 不稳定子系统 有限时间稳定 镇定　出处：《控制理论与应用》2017年04期 　论文类型：期刊论文

【摘要】：在切换事件中,外界环境的干扰或者事物自身的发展变化会导致多平衡点现象.此时,多平衡点切换系统模型比传统的切换系统模型更适合描述此类事件.因此本文研究离散多平衡点正切换线性系统在有限时间区间上的稳定性与镇定性.第1,给出离散多平衡点线性切换系统为正的充要条件.第2,提出离散多平衡点正切换线性系统在有限时间区间上稳定的概念.第3,通过构造合适的Lyapunov函数以及合理分配系统的驻留时间与切换次数,针对部分子系统不稳定的离散多平衡点正切换线性系统,建立所考虑的自治系统有限时间稳定的充分条件.第4,给出非自治多平衡点正切换线性系统的控制器设计.最后,仿真例子验证理论结果的正确性.
[Abstract]:In a switching event, the disturbance of the external environment or the development of the thing itself will lead to the phenomenon of multiple equilibrium points. The model of switched systems with multiple equilibrium points is more suitable to describe this kind of event than the traditional switched system model. In this paper, we study the stability and stabilization of discrete positive switched linear systems with multiple equilibrium points in a finite time interval. Necessary and sufficient conditions for linear switched systems with discrete multiple equilibrium points to be positive. Second, the concept of the stability of linear systems with positive switched discrete multiple equilibrium points on a finite time interval is proposed. Third, by constructing appropriate Lyapunov functions and reasonable distributive systems. The residence time and switching times of the system, A sufficient condition for the finite time stability of autonomous systems is established for discrete multi-equilibrium positive switched linear systems with unstable partial subsystems. Finally, the controller design of nonautonomous multi-equilibrium positive switched linear systems is given. A simulation example is given to verify the correctness of the theoretical results.
【作者单位】： 山东大学控制科学与工程学院;
【基金】：国家自然科学基金项目(61374065,61573215,61473133) 山东省泰山学者基金项目(ts20110822)资助~~
【分类号】：TP13
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本文编号：1532642