本文選題：不確定奇異系統(tǒng) + 時滯切換奇異系統(tǒng)　； 參考：《陜西師范大學(xué)》2015年碩士論文

【摘要】：隨著科學(xué)技術(shù)的發(fā)展以及大型工程技術(shù)的需要,20世紀(jì)70年代人們提出了比正常系統(tǒng)更為廣泛的奇異系統(tǒng),它大量出現(xiàn)在電力、航天、經(jīng)濟、生物等許多實際的系統(tǒng)模型中.從目前的研究動向來看,混雜奇異系統(tǒng)的研究正受到越來越多的研究人員的關(guān)注.目前混雜奇異系統(tǒng)的研究成果主要是系統(tǒng)的Lyapunov漸近穩(wěn)定和指數(shù)穩(wěn)定,即無限時間區(qū)間內(nèi)系統(tǒng)的動態(tài)性能,而在實際中,常常需要研究系統(tǒng)在有限時間區(qū)間內(nèi)的暫態(tài)性能.所以,研究混雜奇異系統(tǒng)的有限時間控制問題具有十分重要的意義.本文在總結(jié)現(xiàn)有研究成果的基礎(chǔ)上,進一步在理論上深入研究了混雜奇異系統(tǒng)的有限時間穩(wěn)定控制問題.論文的主要內(nèi)容和研究成果如下：討論了含不確定項的時變奇異系統(tǒng)的輸入輸出有限時間穩(wěn)定問題,其中的輸入和輸出分別是干擾輸入和可控輸出.我們針對兩類分別屬于C2和l∞的干擾輸入,首先給出了奇異系統(tǒng)的輸入輸出有限時間穩(wěn)定的充分條件.然后,給出了奇異系統(tǒng)在含不確定項情況下的輸入輸出有限時間穩(wěn)定的充分條件.在此基礎(chǔ)上,進一步討論了一類連續(xù)時間切換時滯奇異系統(tǒng)的輸入輸出有限時間穩(wěn)定和狀態(tài)反饋鎮(zhèn)定問題.首先,給出了連續(xù)時間切換時滯奇異系統(tǒng)輸入輸出有限時間穩(wěn)定概念和相關(guān)引理；其次,利用模型依賴平均駐留時間方法和Lyapunov函數(shù)方法,給出了切換時滯奇異系統(tǒng)是正則、脈沖自由且輸入輸出有限時間穩(wěn)定的充分條件,并設(shè)計狀態(tài)反饋控制器,使得閉環(huán)系統(tǒng)是輸入輸出有限時間穩(wěn)定的.
[Abstract]:With the development of science and technology and the need of large-scale engineering technology, people put forward a more extensive singular system than the normal system in the 1970s, which is widely used in many practical system models, such as electric power, space, economy, biology and so on. At present, more and more researchers pay attention to hybrid singular systems. At present, the main research results of hybrid singular systems are Lyapunov asymptotic stability and exponential stability, that is, the dynamic performance of the system in the infinite time interval, but in practice, the transient performance of the system in the finite time range is often studied. Therefore, it is of great significance to study the finite time control problem for hybrid singular systems. On the basis of summarizing the existing research results, the finite time stability control problem of hybrid singular systems is further studied theoretically in this paper. The main contents and results of this paper are as follows: the problem of input and output finite time stability for time-varying singular systems with uncertainties is discussed in which the input and output are disturbance input and controllable output respectively. For two classes of disturbance inputs belonging to C2 and l 鈭，

本文編號：2092700