本文選題：非線性系統(tǒng) + 有限時(shí)間穩(wěn)定��； 參考：《河南工業(yè)大學(xué)》2017年碩士論文

【摘要】：在控制理論中,為了更好地研究非線性系統(tǒng)的魯棒性、抗干擾性和系統(tǒng)的暫態(tài)性能,有限時(shí)間穩(wěn)定性被提出.本文主要對(duì)帶有不確定擾動(dòng)的連續(xù)非線性系統(tǒng)、不確定馬爾可夫非線性跳變系統(tǒng)和T-S模糊非線性跳變神經(jīng)網(wǎng)絡(luò)系統(tǒng)的有限時(shí)間控制問題進(jìn)行了研究.本文主要工作如下:1).研究了帶有部分未知傳遞概率的一類參數(shù)不確定和擾動(dòng)模有界非線性馬爾科夫跳變系統(tǒng)有限時(shí)間控制問題.通過利用隨機(jī)分析和線性矩陣不等式方法,給出了這類隨機(jī)系統(tǒng)的隨機(jī)有限時(shí)間穩(wěn)定和隨機(jī)有限時(shí)間有界的充分性條件.2).研究了帶有不確定擾動(dòng)的連續(xù)非線性系統(tǒng)的有限時(shí)間控制問題.通過運(yùn)用線性矩陣不等式以及Schur補(bǔ)性質(zhì),給出了這類非線性系統(tǒng)有限時(shí)間穩(wěn)定、有限時(shí)間有界、H∞有限時(shí)間有界的相關(guān)結(jié)論.3).研究帶有馬爾科夫跳參數(shù)和邊界激勵(lì)函數(shù)的離散時(shí)滯T-S模糊神經(jīng)網(wǎng)絡(luò)的有限時(shí)間濾波器分析與設(shè)計(jì)問題.首先,在沒有外部擾動(dòng)的情況下,我們給出了名義時(shí)滯模糊跳神經(jīng)網(wǎng)絡(luò)有限時(shí)間穩(wěn)定的充分性條件;接著,我們?cè)O(shè)計(jì)了有限時(shí)間濾波器,使得不含參數(shù)不確定性的增廣模糊跳躍神經(jīng)網(wǎng)絡(luò)系統(tǒng)在有限時(shí)間區(qū)間上是隨機(jī)有限時(shí)間有界的;隨后,我們給出了帶有不確定參數(shù)和馬爾可夫跳離散時(shí)滯模糊神經(jīng)網(wǎng)絡(luò)的有限時(shí)間模糊濾波器的設(shè)計(jì)策略.而且所有獲得的判據(jù)能被表示為線性矩陣不等式的形式.
[Abstract]:In control theory, in order to better study the robustness, anti-jamming and transient performance of nonlinear systems, finite time stability is proposed. In this paper, the finite time control problems of continuous nonlinear systems with uncertain disturbances, uncertain Markov nonlinear jump systems and T-S fuzzy nonlinear jump neural network systems are studied. The main work of this paper is as follows: 1). The finite time control problem for a class of uncertain and perturbed modular bounded nonlinear Markov jump systems with partially unknown transfer probability is studied. By means of stochastic analysis and linear matrix inequality (LMI), the sufficient conditions of stochastic finite time stability and stochastic finite time boundedness for this class of stochastic systems are given. The finite time control problem for continuous nonlinear systems with uncertain disturbances is studied. By using linear matrix inequalities (LMI) and Schur complement property, we give some conclusions about finite time stability and finite time bounded H 鈭，

本文編號(hào)：2107935