發(fā)布時間：2018-06-01 23:54

  本文選題：奇異攝動系統(tǒng) + Lur��； 參考：《華東師范大學(xué)》2017年博士論文

【摘要】：本論文考慮了—類奇異攝動系統(tǒng)的滑�？刂�。兩時標(biāo)結(jié)構(gòu)是奇異攝動系統(tǒng)或奇攝動系統(tǒng)固有的特性,這個特性通常會導(dǎo)致系統(tǒng)階數(shù)的增加和剛性問題的產(chǎn)生.從而大大增加了對系統(tǒng)分析和控制的復(fù)雜性.為了克服上述問題的產(chǎn)生,奇攝動方法應(yīng)運而生.在過去的幾十年,奇攝動方法獲得了廣泛的認(rèn)可并在控制領(lǐng)域快速發(fā)展.目前,有關(guān)馬爾可夫跳變的奇異攝動控制系統(tǒng)和奇異攝動的滑�？刂茊栴}引起的很多學(xué)者的關(guān)注,并已取得了很大的進(jìn)展,但仍然有許多深刻的問題沒有解決.本論文在深入研究奇攝動系統(tǒng)的魯棒穩(wěn)定以及反饋控制問題的基礎(chǔ)之上,獲得了一些新的結(jié)果,主要研究內(nèi)容如下:1.研究了一類時滯奇異攝動系統(tǒng)基于無源的滑模控制問題。其中奇異矩陣被考慮到切換面的設(shè)計中,從而便于分析滑模動力學(xué)的穩(wěn)定性。給出了一個時滯依賴的LMI條件,使得滑模動力學(xué)是二次穩(wěn)定和魯棒無源的。同時,進(jìn)一步考慮的系統(tǒng)的反饋無源化問題。最后,給出了滑�？刂埔�(guī)程的合成問題。2.研究了具有馬爾克夫跳變的奇異攝動系統(tǒng)的滑�？刂茊栴}。設(shè)計了合適的滑模控制器使得非線性奇異攝動系統(tǒng)是隨機(jī)穩(wěn)定的。同時,其軌線能在有限時間內(nèi)到達(dá)滑模面。最后,利用Lyapunov函數(shù)方法和LMI技術(shù)給出了系統(tǒng)隨機(jī)穩(wěn)定的充分條件。3.研究了一類具有輸入非線性的Lur' e奇異攝動系統(tǒng)的滑�？刂�。設(shè)計了一個新穎的依賴的切換面使得給出的動力學(xué)系統(tǒng)仍是一個奇異攝動系統(tǒng)。利用LMI方法,時滯依賴和獨立的充分條件分別被提出使得滑模動力學(xué)是無源和漸近穩(wěn)定的。同時,參數(shù)允許的上界也被給出。最后,一件滑模控制規(guī)程被設(shè)計使得系統(tǒng)狀態(tài)能在有限時間內(nèi)到邊切換面。
[Abstract]:In this paper, the sliding mode control of a class singular perturbation system is considered. The two time scale structure is an inherent characteristic of a singularly perturbed or singularly perturbed system. This characteristic usually leads to the increase of the system order and the production of the rigid problem. Thus, the complexity of the system analysis and control is greatly increased. In order to overcome the problems mentioned above, a strange perturbation is made. In the past few decades, the singularly perturbed method has been widely recognized and developed rapidly in the control field. At present, many scholars have paid much attention to the singular perturbation control system of Markov jump and the sliding mode control of singularly perturbed, and have made great progress, but there are still many profound problems. The problem is not solved. Based on the in-depth study of the robust stability and feedback control problem of the singularly perturbed system, some new results are obtained. The main contents are as follows: 1. the passive sliding mode control problem for a class of time-delay singular perturbation systems is studied. The singular matrix is considered in the design of the switching surface. It is easy to analyze the stability of sliding mode dynamics. A time-delay dependent LMI condition is given. The sliding mode dynamics is two times stable and robust passivity. At the same time, the feedback passivation problem of the system is further considered. Finally, the synthesis problem of the sliding mode control protocol.2. is given to study the singular perturbation system with Mar Kfeu jump. A suitable sliding mode controller is designed to make the nonlinear singularly perturbed system be random stable. At the same time, the trajectory of the trajectory can reach the sliding surface in a limited time. Finally, the sufficient condition for stochastic stability of the system is given by the Lyapunov function method and the LMI technique. A class of Lur'e odd with input nonlinearity is studied. A novel sliding mode control system is designed. A new dependent switching surface is designed to make the given dynamic system still a singularly perturbed system. Using the LMI method, time delay dependence and independent sufficient conditions are proposed to make sliding mode dynamics passive and asymptotically stable. A sliding mode control procedure is designed so that the system state can reach the side switching surface within a limited time.
【學(xué)位授予單位】：華東師范大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2017
【分類號】：TP13
，

本文編號：1966293