本文關(guān)鍵詞： 正切換線性系統(tǒng) 多平衡點(diǎn) 不穩(wěn)定子系統(tǒng) 有限時(shí)間穩(wěn)定 鎮(zhèn)定　出處：《控制理論與應(yīng)用》2017年04期 　論文類型：期刊論文

【摘要】：在切換事件中,外界環(huán)境的干擾或者事物自身的發(fā)展變化會(huì)導(dǎo)致多平衡點(diǎn)現(xiàn)象.此時(shí),多平衡點(diǎn)切換系統(tǒng)模型比傳統(tǒng)的切換系統(tǒng)模型更適合描述此類事件.因此本文研究離散多平衡點(diǎn)正切換線性系統(tǒng)在有限時(shí)間區(qū)間上的穩(wěn)定性與鎮(zhèn)定性.第1,給出離散多平衡點(diǎn)線性切換系統(tǒng)為正的充要條件.第2,提出離散多平衡點(diǎn)正切換線性系統(tǒng)在有限時(shí)間區(qū)間上穩(wěn)定的概念.第3,通過構(gòu)造合適的Lyapunov函數(shù)以及合理分配系統(tǒng)的駐留時(shí)間與切換次數(shù),針對(duì)部分子系統(tǒng)不穩(wěn)定的離散多平衡點(diǎn)正切換線性系統(tǒng),建立所考慮的自治系統(tǒng)有限時(shí)間穩(wěn)定的充分條件.第4,給出非自治多平衡點(diǎn)正切換線性系統(tǒng)的控制器設(shè)計(jì).最后,仿真例子驗(yàn)證理論結(jié)果的正確性.
[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.
【作者單位】： 山東大學(xué)控制科學(xué)與工程學(xué)院;
【基金】：國家自然科學(xué)基金項(xiàng)目(61374065,61573215,61473133) 山東省泰山學(xué)者基金項(xiàng)目(ts20110822)資助~~
【分類號(hào)】：TP13
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本文編號(hào)：1532642