LMIs in Control Systems: Analysis, Design and Applications (Hardcover)

Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and design problems of both continuous- and discrete-time linear systems based on LMI methods.

Providing a broad and systematic introduction to the rich content of LMI-based control systems analysis and design with applications, this book is suitable for use as a textbook for LMI related courses for senior undergraduate and postgraduate students in the fields of control systems theory and applications.

Key Features:

• Contains four well-structured parts: Preliminaries, Control Systems Analysis, Control Systems Design, and Applications, as well as an introduction chapter and two appendices
• Summarizes most of the technical lemmas used in the book in one preliminary chapter, and classifies them systematically into different groups
• Includes many examples, exercises, and practical application backgrounds
• Summarizes most of the important results in the last section of each chapter, in a clear table format
• Contains an application part composed of two chapters that respectively deal with missile and satellite attitude control using LMI techniques
• Provides a brief and clear introduction to the use of the LMI Lab in the MATLAB^® Robust Control Toolbox
• Supplies detailed proofs for all main results, with lengthy ones clearly divided into different subsections or steps—using elementary mathematics whenever possible
• Uses a pole assignment Benchmark problem, in support of the numerical reliability of LMI techniques, where numerical unreliability could result in a solution to a problem that is far from the true one

A Solutions Manual and MATLAB^® codes for the computational exercise problems and examples are available upon qualified course adoption.

儘管LMI已經成為一個在系統和控制的主要領域中應用的強大工具，但在控制系統分析和設計中，仍然需要一本提供易於理解的LMI介紹的教科書。為了填補這一需求，《控制系統中的LMIs：分析、設計和應用》專注於基於LMI方法的連續和離散時間線性系統的基本分析和設計問題。

本書提供了廣泛而系統的介紹，涵蓋了基於LMI的控制系統分析和設計的豐富內容，適合作為控制系統理論和應用領域高年級本科生和研究生的LMI相關課程的教材。

主要特點：
- 包含四個結構良好的部分：預備知識、控制系統分析、控制系統設計和應用，以及一個引言章節和兩個附錄
- 在一個預備知識章節中總結了本書中使用的大部分技術引理，並將它們系統地分類到不同的組中
- 包含許多例子、練習和實際應用背景
- 在每個章節的最後一部分以清晰的表格格式總結了大部分重要結果
- 包含一個應用部分，由兩個章節組成，分別使用LMI技術處理導彈和衛星姿態控制問題
- 提供了對MATLAB® Robust Control Toolbox中LMI實驗室使用的簡短而清晰的介紹
- 為所有主要結果提供了詳細的證明，並將冗長的證明清晰地分為不同的子節或步驟，盡可能使用基本數學
- 使用極點分配基準問題，以支持LMI技術的數值可靠性，其中數值不可靠可能導致解決方案與真實解相差甚遠

合格的課程採用者可以獲得計算練習問題和例子的解答手冊和MATLAB®代碼。