LMIs in Control Systems: Analysis, Design and Applications

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.