下三角非線性系統(tǒng)的采樣控制研究
發(fā)布時(shí)間:2023-04-21 23:17
隨著數(shù)字計(jì)算機(jī)技術(shù)的普及與發(fā)展,計(jì)算機(jī)控制系統(tǒng)已被廣泛地應(yīng)用到包括工業(yè)自動化系統(tǒng)在內(nèi)的各個(gè)領(lǐng)域,并成為自動控制的一項(xiàng)核心技術(shù)。因此作為計(jì)算機(jī)控制理論基礎(chǔ)的采樣系統(tǒng)理論,一直都是控制領(lǐng)域的研究熱點(diǎn)并得到很多學(xué)者的重視。在采樣系統(tǒng)中,控制器在每個(gè)采樣時(shí)刻決定從現(xiàn)在到下一采樣時(shí)刻的控制量,這相當(dāng)于在相鄰兩個(gè)采樣時(shí)刻之間系統(tǒng)處于開環(huán)狀態(tài)。如何為給定的連續(xù)時(shí)間系統(tǒng)設(shè)計(jì)采樣控制器是采樣系統(tǒng)理論的一個(gè)核心問題。對于線性系統(tǒng),該問題已經(jīng)得到了較好的解決。但對非線性系統(tǒng),由于采樣帶來的復(fù)雜性,使得這一問題變得極具挑戰(zhàn)性,因而還有許多重要的問題需要進(jìn)一步的探討。目前,非線性采樣系統(tǒng)的設(shè)計(jì)主要采取基于連續(xù)時(shí)間模型的連續(xù)設(shè)計(jì)方法和基于近似離散模型的離散設(shè)計(jì)方法。本文利用基于系統(tǒng)采樣模型的采樣設(shè)計(jì)方法研究了幾類重要的非線性系統(tǒng)的采樣控制問題。對具有下三角結(jié)構(gòu)非線性系統(tǒng)的采樣反饋控制,全局采樣鎮(zhèn)定以及在考慮長輸入延遲情況下的采樣反饋鎮(zhèn)定等問題做了進(jìn)一步深入地探討。本文的研究內(nèi)容主要有以下四個(gè)部分:首先,針對一類p-規(guī)范形非線性系統(tǒng),提出了一種能夠?qū)崿F(xiàn)閉環(huán)系統(tǒng)全局強(qiáng)鎮(zhèn)定的多率采樣控制器。在控制器的設(shè)計(jì)過程中,為了獲...
【文章頁數(shù)】:131 頁
【學(xué)位級別】:博士
【文章目錄】:
ABSTRACT
摘要
List of Abbreviations
Chapter 1 Introduction
1.1 Background and motivations
1.2 Literature review
1.2.1 Brief survey of nonlinear control systems
1.2.2 Methods of control for lower-triangular systems
1.2.3 Current research of sampled-data systems
1.3 Contributions and organization
Chapter 2 Preliminaries
2.1 Sampled-data control systems
2.2 Stability of nonlinear systems
2.3 Useful inequalities
Chapter 3 Multi-rate sampled-data control of p-normal form nonlinear systems
3.1 Introduction
3.2 Problem formulation
3.3 Design and analyses of sampled-data control systems
3.4 Simulation examples
3.5 Brief summary
Chapter 4 Global sampled-data stabilization for a class of high-order nonlinear systems
4.1 Introduction
4.2 Problem formulation
4.3 Global stabilization by sampled-data feedback
4.4 Performance analysis of approximate controllers
4.5 Simulation example
4.6 Brief summary
Chapter 5 Sampled-data stabilization for a class of low-order LTNSs with long delays
5.1 Introduction
5.2 Problem formulation
5.3 Sampled-data controller design in the absence of delays
5.4 Sampled-data stabilization of systems with long delays
5.5 Simulation example
5.6 Brief summary
Chapter 6 Predictor-based sampled-data control of high-order systems with arbitrarydelays
6.1 Introduction
6.2 Problem formulation
6.3 Predictor-based sampled-data controller design
6.4 Approximate controllers
6.5 Simulation example
6.6 Brief summary
Chapter 7 Conclusions
7.1 Summary
7.2 Future research
References
Acknowledgements
Curriculum Vitae
本文編號:3796443
【文章頁數(shù)】:131 頁
【學(xué)位級別】:博士
【文章目錄】:
ABSTRACT
摘要
List of Abbreviations
Chapter 1 Introduction
1.1 Background and motivations
1.2 Literature review
1.2.1 Brief survey of nonlinear control systems
1.2.2 Methods of control for lower-triangular systems
1.2.3 Current research of sampled-data systems
1.3 Contributions and organization
Chapter 2 Preliminaries
2.1 Sampled-data control systems
2.2 Stability of nonlinear systems
2.3 Useful inequalities
Chapter 3 Multi-rate sampled-data control of p-normal form nonlinear systems
3.1 Introduction
3.2 Problem formulation
3.3 Design and analyses of sampled-data control systems
3.4 Simulation examples
3.5 Brief summary
Chapter 4 Global sampled-data stabilization for a class of high-order nonlinear systems
4.1 Introduction
4.2 Problem formulation
4.3 Global stabilization by sampled-data feedback
4.4 Performance analysis of approximate controllers
4.5 Simulation example
4.6 Brief summary
Chapter 5 Sampled-data stabilization for a class of low-order LTNSs with long delays
5.1 Introduction
5.2 Problem formulation
5.3 Sampled-data controller design in the absence of delays
5.4 Sampled-data stabilization of systems with long delays
5.5 Simulation example
5.6 Brief summary
Chapter 6 Predictor-based sampled-data control of high-order systems with arbitrarydelays
6.1 Introduction
6.2 Problem formulation
6.3 Predictor-based sampled-data controller design
6.4 Approximate controllers
6.5 Simulation example
6.6 Brief summary
Chapter 7 Conclusions
7.1 Summary
7.2 Future research
References
Acknowledgements
Curriculum Vitae
本文編號:3796443
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