發(fā)布時(shí)間：2018-06-21 14:58

  本文選題：采樣系統(tǒng) + 指數(shù)穩(wěn)定��； 參考：《控制理論與應(yīng)用》2016年10期

【摘要】：本文研究了線性采樣系統(tǒng)在變周期采樣下的指數(shù)穩(wěn)定性問題.基于離散時(shí)間Lyapunov理論,構(gòu)造了一個(gè)新的類Lyapunov泛函.該泛函不僅是時(shí)變的,還增加了對(duì)狀態(tài)二次項(xiàng)的積分,而且不要求在采樣區(qū)間內(nèi)正定.利用這一新的類Lyapunov泛函,本文首先針對(duì)一類非線性采樣系統(tǒng)提出了指數(shù)穩(wěn)定性定理,再結(jié)合改進(jìn)的Wirtinger積分不等式,導(dǎo)出了使變周期線性采樣系統(tǒng)指數(shù)穩(wěn)定以及漸近穩(wěn)定的線性矩陣不等式條件.最后舉例說明了所得穩(wěn)定性結(jié)果比現(xiàn)存的某些文獻(xiàn)報(bào)道的結(jié)果保守性較小.
[Abstract]:In this paper, the exponential stability of linear sampling systems with variable period sampling is studied. Based on the discrete time Lyapunov theory, a new Lyapunov-like functional is constructed. The functional is not only time-varying, but also increases the integral of the quadratic term of the state, and does not require a positive definite in the sampling interval. Using this new Lyapunov functional, the exponential stability theorem is proposed for a class of nonlinear sampling systems, and then the improved Wirtinger integral inequality is used. The conditions of linear matrix inequalities (LMIs) for exponential stability and asymptotic stability of linear sampling systems with variable periods are derived. Finally, an example is given to show that the results obtained are less conservative than those reported in some existing literatures.
【作者單位】： 曲阜師范大學(xué)自動(dòng)化研究所;
【基金】：國家自然科學(xué)基金項(xiàng)目(61374090) 山東省高等院�？蒲袆�(chuàng)新團(tuán)隊(duì)項(xiàng)目 山東省泰山學(xué)者人才工程項(xiàng)目~~
【分類號(hào)】：TP13

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1 王廣雄,王勇莉,何朕;采樣系統(tǒng)的分析:提升技術(shù)[J];電機(jī)與控制學(xué)報(bào);2003年04期

2 張啟人;瞿志華;;一種基于采樣系統(tǒng)性質(zhì)分析的連續(xù)系統(tǒng)傳函辨識(shí)新方法[J];自動(dòng)化學(xué)報(bào);1989年01期

3 孫振東;周期多頻采樣系統(tǒng)的干擾解耦(英文)[J];控制理論與應(yīng)用;2001年03期

4 K.J.，

本文編號(hào)：2049144