發(fā)布時(shí)間：2020-12-20 12:11

　　時(shí)滯是許多實(shí)際系統(tǒng)普遍存在的現(xiàn)象,也是直接影響和決定系統(tǒng)的穩(wěn)定性和性能的關(guān)鍵因素。時(shí)滯可以是定常的、時(shí)變的或者隨機(jī)的。目前,帶有定常時(shí)滯的線性系統(tǒng)的穩(wěn)定性分析研究已相對(duì)成熟,但關(guān)于時(shí)變時(shí)滯情形的研究依然存在很多問(wèn)題。例如很難為時(shí)變時(shí)滯系統(tǒng)建立時(shí)滯依賴的系統(tǒng)穩(wěn)定性的充分必要條件,因而尋求盡可能小保守性的穩(wěn)定性條件尤為必要和重要。本文將聚焦兩類時(shí)變時(shí)延時(shí)滯系統(tǒng)的穩(wěn)定性分析和控制設(shè)計(jì)問(wèn)題。一類是帶有狀態(tài)時(shí)變時(shí)滯的線性系統(tǒng),其中時(shí)變時(shí)滯是連續(xù)可微的且時(shí)滯導(dǎo)數(shù)區(qū)間是可利用的。另一類是帶有鋸齒形區(qū)間輸入時(shí)滯的線性系統(tǒng),它用來(lái)建模帶有事件觸發(fā)機(jī)制和區(qū)間通訊時(shí)延的網(wǎng)絡(luò)化控制系統(tǒng)。研究?jī)深愊到y(tǒng)穩(wěn)定性分析的主要難點(diǎn)在于如何充分利用時(shí)變時(shí)滯的可利用信息來(lái)構(gòu)造合適的Lyapunov-Krasovskii泛函及相關(guān)的放大不等式技術(shù)。為此,本文具體研究?jī)?nèi)容開(kāi)展如下:（1）針對(duì)帶有時(shí)變時(shí)滯的線性連續(xù)系統(tǒng),得到了時(shí)滯及時(shí)滯導(dǎo)數(shù)范圍依賴的穩(wěn)定性條件和控制設(shè)計(jì)結(jié)果。使用階Legendre多項(xiàng)式與時(shí)變時(shí)滯信息提出了一個(gè)新的時(shí)滯依賴的增廣Lyapunov-Krasovskii泛函,并松弛了泛函矩陣變量的正定約束。然后,使用一... 

【文章來(lái)源】：山西大學(xué)山西省

【文章頁(yè)數(shù)】：68 頁(yè)

【學(xué)位級(jí)別】：碩士

【文章目錄】：
摘要
ABSTRACT
Chapter 1 Introduction
    1.1 Research background and significance
    1.2 The art of state on time-delay systems and NCSs
        1.2.1 Time-varying delay systems
        1.2.2 Networked control systems
    1.3 Main contributions
    1.4 Notations
Chapter 2 Delay-and-delay-derivative-dependent stability conditions and controldesign results
    2.1 Problem description and preliminaries
    2.2 Main results
        2.2.1 Delay-and-delay-derivative-dependent stability analysis results
        2.2.2 LMI-based controller design conditions
    2.3 Numerical examples
    2.4 Summary
Chapter 3 Stability analysis and control design of NCSs: a discontinuous augmentedLKF method
    3.1 Problem description and preliminaries
    3.2 Main results
        3.2.1 Sawtooth-like input delay dependent stability analysis results
        3.2.2 Design conditions of the networked controller under event-triggeringtransmission scheme
    3.3 Numerical examples
    3.4 Summary
Chapter 4 Conclusions and prospects
    4.1 Conclusions
    4.2 Prospects
References
Published articles directory
Acknowledgements
個(gè)人簡(jiǎn)介



本文編號(hào)：2927842