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Christopher M. Kellett,Philipp Braun

Introduction to Nonlinear Control: Stability, Control Design, and Estimation

Introduction to Nonlinear Control: Stability, Control Design, and Estimation

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  • More about Introduction to Nonlinear Control: Stability, Control Design, and Estimation


This text provides an introduction to the analysis, control, and estimation of nonlinear systems, suitable for advanced undergraduate and graduate students. It covers stability and Lyapunov methods, linear systems, frequency domain methods, discrete-time systems, input-to-state stability, sliding mode control, adaptive control, feedback linearization, robust output regulation, observer design, and estimation. It also introduces nonlinear model predictive control and uses linear matrix inequalities and semidefinite programming in modern antiwindup designs.

Format: Hardback
Length: 552 pages
Publication date: 27 June 2023
Publisher: Princeton University Press


This comprehensive and user-friendly guide to the analysis, control, and estimation of nonlinear systems is designed specifically for advanced undergraduate and graduate students. It provides a holistic treatment of the subject, making it suitable for use in both undergraduate and graduate courses. To facilitate understanding, the text begins with an overview of stability and Lyapunov methods for nonlinear systems, with a special emphasis on Lyapunov's second method as a unifying thread throughout the book.

Following this introductory chapter, the text delves into linear systems, frequency domain methods, and discrete-time systems, providing a solid foundation for the subsequent chapters. These chapters build upon the foundational knowledge gained and introduce the fundamental concepts and techniques underlying major research areas in nonlinear control. These include input-to-state stability, sliding mode control, adaptive control, feedback linearization, and robust output regulation.

In addition to these core topics, the book also covers observer design and estimation for nonlinear systems. It emphasizes the use of nonlinear model predictive control and introduces the reader to the application of linear matrix inequalities and semidefinite programming in modern antiwindup designs.

Throughout the text, the authors have made a concerted effort to keep the language accessible and engaging, ensuring that students with a basic familiarity with differential equations and linear algebra can grasp the material presented. The book is well-organized, with each chapter providing a clear summary, examples, and appendixes containing definitions, results, and MATLAB applications to further enhance the learning experience.

In summary, this introductory text on nonlinear control offers a comprehensive and up-to-date coverage of the subject, making it an invaluable resource for advanced undergraduate and graduate students interested in pursuing careers in engineering, science, or mathematics. Its user-friendly approach, pedagogical features, and emphasis on recent research topics make it an ideal choice for both classroom instruction and self-study.

Weight: 1306g
Dimension: 186 x 263 x 37 (mm)
ISBN-13: 9780691240480

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