本文關(guān)鍵詞：基于奇異攝動(dòng)法的多變量系統(tǒng)穩(wěn)定性測(cè)量　出處：《大連海事大學(xué)》2017年碩士論文　論文類(lèi)型：學(xué)位論文

  更多相關(guān)文章： 穩(wěn)定裕度 奇異攝動(dòng)方法 多輸入多輸出系統(tǒng) 小增益定理

【摘要】：無(wú)論在實(shí)際生產(chǎn)過(guò)程中,還是在自然界運(yùn)轉(zhuǎn)過(guò)程中,穩(wěn)定性都是系統(tǒng)正常運(yùn)轉(zhuǎn)的必要條件。因此,對(duì)穩(wěn)定性裕度的度量研究具有重要的理論意義和實(shí)際應(yīng)用價(jià)值。而目前研究穩(wěn)定裕度的方法中,通過(guò)奇異攝動(dòng)理論測(cè)量多變量系統(tǒng)穩(wěn)定裕度的方法尚未見(jiàn)到。本文針對(duì)分析和度量穩(wěn)定裕度的問(wèn)題,提出了一種基于奇異攝動(dòng)理論度量多輸入多輸出系統(tǒng)的穩(wěn)定裕度的方法。針對(duì)控制系統(tǒng)穩(wěn)定裕度的國(guó)內(nèi)外研究現(xiàn)狀,分析了不同方法的優(yōu)缺點(diǎn),結(jié)合單變量系統(tǒng)中奇異攝動(dòng)理論求解穩(wěn)定裕度的方法,提出了基于奇異攝動(dòng)理論預(yù)估多變量系統(tǒng)穩(wěn)定裕度的方法。這種方法的思想就是引入帶有小參數(shù)的奇異攝動(dòng)系統(tǒng),由小增益定理計(jì)算出奇異攝動(dòng)小參數(shù)的范圍,從而計(jì)算出多輸入多輸出系統(tǒng)的穩(wěn)定裕度,并以一個(gè)兩輸入兩輸出系統(tǒng)為例,用所提出的方法計(jì)算出其穩(wěn)定裕度,然后再將其與其他文獻(xiàn)所計(jì)算出的多輸入多輸出系統(tǒng)穩(wěn)定裕度的值對(duì)比。通過(guò)對(duì)比結(jié)果得出,本文所提方法可以反映多輸入多輸出系統(tǒng)的穩(wěn)定裕量,并且該方法是由單輸入單輸出系統(tǒng)引入而來(lái),因此具有向下兼容性。
[Abstract]:Whether in the actual production process or in the natural process, stability is the necessary condition for the normal operation of the system. The research on the measurement of stability margin has important theoretical significance and practical application value. The method of measuring the stability margin of multivariable systems by singular perturbation theory has not been found yet. In this paper, the problem of analyzing and measuring the stability margin of multivariable systems is discussed. This paper presents a method to measure the stability margin of multi-input multi-output systems based on singular perturbation theory, and analyzes the advantages and disadvantages of different methods in view of the domestic and foreign research status of stability margin of control systems. A method for solving stability margin by using singular perturbation theory in univariate systems. A method for estimating the stability margin of multivariable systems based on singular perturbation theory is proposed. The idea of this method is to introduce singularly perturbed systems with small parameters and calculate the range of singular perturbation small parameters by small gain theorem. Thus the stability margin of the multi-input multi-output system is calculated, and the stability margin of a two-input two-output system is calculated by the proposed method. Then it is compared with the value of stability margin calculated in other literatures. The results show that the method proposed in this paper can reflect the stability margin of multi-input multiple-output system. And the method is introduced by single input single output system, so it has downward compatibility.
【學(xué)位授予單位】：大連海事大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TP273

【參考文獻(xiàn)】

相關(guān)期刊論文 前7條

1 張玉波;劉旭青;;基于相位裕度的負(fù)反饋電路穩(wěn)定性評(píng)價(jià)方法[J];電子質(zhì)量;2012年02期

2 孫明瑋;焦綱領(lǐng);楊瑞光;陳增強(qiáng);;PI控制下開(kāi)環(huán)不穩(wěn)定對(duì)象可行穩(wěn)定裕度范圍的研究[J];自動(dòng)化學(xué)報(bào);2011年03期

3 汪浩;嚴(yán)偉;黃明和;郭斌;;穩(wěn)定裕度與網(wǎng)絡(luò)特征參數(shù)無(wú)關(guān)的AQM算法[J];計(jì)算機(jī)工程;2010年04期

4 瞿福存,史忠科,戴冠中;MIMO系統(tǒng)穩(wěn)定裕度的幾個(gè)定義[J];飛行力學(xué);2002年02期

5 吳斌,程鵬;多變量飛控系統(tǒng)的穩(wěn)定裕度分析[J];航空學(xué)報(bào);1998年06期

6 吳柏林,馬林;相對(duì)穩(wěn)定裕度的研究[J];青島大學(xué)學(xué)報(bào)(工程技術(shù)版);1997年03期

7 戴詩(shī)正;奇異攝動(dòng)理論[J];系統(tǒng)工程與電子技術(shù);1988年02期

，

本文編號(hào)：1382909