Multivariable Feedback Control—Analysis and Design

Multivariable Feedback Control—Analysis and Design

FEBRUARY 2007 | SIGURD SKOGESTAD and IAN POSTLETHWAITE
"Multivariable Feedback Control—Analysis and Design" by Sigurd Skogestad and Ian Postlethwaite is a comprehensive guide to designing multi-input, multi-output (MIMO) feedback control systems for linear systems using robust control paradigms. The book is aimed at graduate students and practicing engineers with a basic understanding of classical control design and state-space control theory. It requires a solid foundation in matrix theory and linear algebra. This revised and expanded edition, published in 1996, has increased in size but maintains the original style and approach. It includes updated chapters, minor corrections, improvements, and new material, particularly in chapters 5 and 6 on fundamental performance limitations. Chapter 10 has been reorganized, and Chapter 12 introduces linear matrix inequalities (LMIs). All Matlab programs have been updated to work with the Robust Control Toolbox. The book integrates three key concepts: multivariable feedback design, uncertainty modeling, and the synthesis of feedback using $H_{\infty}$ and $\mu$-synthesis tools. It highlights the unique phenomena in MIMO control, such as loop interactions, directionality, and multivariable zeros. The authors emphasize the importance of uncertainty in control design, providing insights into how to model and handle uncertainty effectively. The book is designed to be both mathematically rigorous and practical, with precise formulations and proofs. It includes numerous examples, exercises, and computational implementations using the Robust Control Toolbox. The authors' strong research background in multivariable and robust control, along with their influence from the British school of multivariable control, ensures a deep theoretical foundation. The content covers classical control from a modern perspective, basic properties of MIMO systems, achievable control performance under uncertainty, robust stability and performance analysis, controller design, control structure design, model reduction, and applied control design through case studies. The book is highly recommended for graduate students and engineers, offering a well-balanced and effective treatment of robust multivariable control."Multivariable Feedback Control—Analysis and Design" by Sigurd Skogestad and Ian Postlethwaite is a comprehensive guide to designing multi-input, multi-output (MIMO) feedback control systems for linear systems using robust control paradigms. The book is aimed at graduate students and practicing engineers with a basic understanding of classical control design and state-space control theory. It requires a solid foundation in matrix theory and linear algebra. This revised and expanded edition, published in 1996, has increased in size but maintains the original style and approach. It includes updated chapters, minor corrections, improvements, and new material, particularly in chapters 5 and 6 on fundamental performance limitations. Chapter 10 has been reorganized, and Chapter 12 introduces linear matrix inequalities (LMIs). All Matlab programs have been updated to work with the Robust Control Toolbox. The book integrates three key concepts: multivariable feedback design, uncertainty modeling, and the synthesis of feedback using $H_{\infty}$ and $\mu$-synthesis tools. It highlights the unique phenomena in MIMO control, such as loop interactions, directionality, and multivariable zeros. The authors emphasize the importance of uncertainty in control design, providing insights into how to model and handle uncertainty effectively. The book is designed to be both mathematically rigorous and practical, with precise formulations and proofs. It includes numerous examples, exercises, and computational implementations using the Robust Control Toolbox. The authors' strong research background in multivariable and robust control, along with their influence from the British school of multivariable control, ensures a deep theoretical foundation. The content covers classical control from a modern perspective, basic properties of MIMO systems, achievable control performance under uncertainty, robust stability and performance analysis, controller design, control structure design, model reduction, and applied control design through case studies. The book is highly recommended for graduate students and engineers, offering a well-balanced and effective treatment of robust multivariable control.
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