本文選題：切換系統(tǒng)　切入點(diǎn)：LPV　出處：《西南交通大學(xué)》2017年碩士論文

【摘要】：切換系統(tǒng)是一種混雜系統(tǒng),是同時(shí)包含了相互影響的離散事件和連續(xù)變量的復(fù)雜的動(dòng)態(tài)系統(tǒng)。切換系統(tǒng)本身由一系列子系統(tǒng)和控制他們之間運(yùn)行關(guān)系的切換規(guī)則組成。當(dāng)前針對(duì)切換系統(tǒng)的研究方向主要有穩(wěn)定性分析,切換律設(shè)計(jì)等。本文根據(jù)平均駐留時(shí)間MDADT(Mode-dependent Average Dwell Time)的概念對(duì)周期切換系統(tǒng)以及切換LPV系統(tǒng)的控制做了相關(guān)研究,并且在此基礎(chǔ)上研究了 Boost電路。全文主要內(nèi)容如下:本文針對(duì)周期切換系統(tǒng)在運(yùn)行過(guò)程中的一種特殊情況,利用MDADT的概念實(shí)現(xiàn)了一種新型的最優(yōu)控制方法。周期切換系統(tǒng)具有多個(gè)子系統(tǒng),對(duì)于其中一個(gè)子系統(tǒng)的周期運(yùn)行時(shí)間為特定值的情況,本文根據(jù)MDADT對(duì)系統(tǒng)的穩(wěn)定性進(jìn)行分析,利用計(jì)算收斂路徑的方法進(jìn)行切換律的設(shè)計(jì),在切換律控制下,系統(tǒng)單周期內(nèi)收斂路徑的平方和J1+J2取得最小值,實(shí)現(xiàn)了整個(gè)系統(tǒng)的最優(yōu)切換控制。仿真結(jié)果表明,通過(guò)這種方法設(shè)計(jì)的切換律,可以使周期切換系統(tǒng)在單個(gè)子系統(tǒng)運(yùn)行時(shí)間為特定值的情況下實(shí)現(xiàn)最優(yōu)切換,系統(tǒng)全局一致指數(shù)穩(wěn)定�；贛DADT的概念設(shè)計(jì)了一種加權(quán)H∞魯棒輸出反饋控制器。對(duì)切換LPV系統(tǒng)進(jìn)行多胞分解,使其轉(zhuǎn)化為頂點(diǎn)參數(shù)模型,通過(guò)計(jì)算相關(guān)的線性矩陣不等式求解各個(gè)頂點(diǎn)的輸出反饋H∞控制器,得到系統(tǒng)的控制器。這種加權(quán)H∞魯棒輸出反饋控制器的優(yōu)勢(shì)在于滿足給定的干擾抑制水平γ的前提下,能夠使系統(tǒng)在運(yùn)行過(guò)程中全局一致指數(shù)穩(wěn)定。對(duì)于基于切換系統(tǒng)建模的Boost電路,對(duì)于負(fù)載變化等參數(shù)時(shí)變情況,實(shí)現(xiàn)了對(duì)Boost電路的切換系統(tǒng)LPV建模及其控制。本文根據(jù)切換系統(tǒng)和LPV建模的定義驗(yàn)證和實(shí)現(xiàn)了 Boost電路基于切換系統(tǒng)的LPV建模,并且利用Lyapunov函數(shù)分析電路的穩(wěn)定性,設(shè)計(jì)切換律控制開關(guān)切換�；谇袚Q系統(tǒng)的LPV建模的優(yōu)點(diǎn)在于有關(guān)切換LPV的相關(guān)研究方法和成果可以引入到DC-DC電路中。切換系統(tǒng)是一類重要的混雜系統(tǒng),本文對(duì)切換系統(tǒng)中的周期切換系統(tǒng)和切換LPV系統(tǒng)的控制做了相關(guān)研究,并將切換LPV的建模和控制方式應(yīng)用到了Boost電路。
[Abstract]:Switched systems are hybrid systems, The switching system itself consists of a series of subsystems and switching rules that control the operational relationship between them. The main research directions are stability analysis. According to the concept of average dwell time (MDADT(Mode-dependent Average Dwell time), this paper studies the control of periodic switched systems and switched LPV systems. On this basis, the Boost circuit is studied. The main contents of this paper are as follows: this paper aims at a special case of periodic switching system in the process of operation. A new optimal control method is implemented by using the concept of MDADT. There are several subsystems in the periodic switching system. For the case that the cycle time of one subsystem is a specific value, the stability of the system is analyzed according to the MDADT. The method of calculating convergence path is used to design the switching law. Under the control of switching law, the sum of square of convergence path and J _ (1) J _ 2 in a single period of the system obtain the minimum value, and the optimal switching control of the whole system is realized. The simulation results show that, By using the switching law designed by this method, the optimal handoff can be realized when the operating time of a single subsystem is specific. Based on the concept of MDADT, a weighted H 鈭，

本文編號(hào)：1676061