Design of Linear Multivariable Feedback Control Systems
The Wiener–Hopf Approach using Transforms and Spectral Factorization
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Beschreibung
This book contains a derivation of the subset of stabilizing controllers for analog and digital linear time-invariant multivariable feedback control systems that insure stable system errors and stable controller outputs for persistent deterministic reference inputs that are trackable and for persistent deterministic disturbance inputs that are rejectable. For this subset of stabilizing controllers, the Wiener-Hopf methodology is then employed to obtain the optimal controller for which a quadratic performance measure is minimized. This is done for the completely general standard configuration and methods that enable the trading off of optimality for an improved stability margin and/or reduced sensitivity to plant model uncertainty are described. New and novel results on the optimal design of decoupled (non-interacting) systems are also presented.
The results are applied in two examples: the one- and three-degree-of-freedom configurations. These demonstrate that the standard configuration is one encompassing all possible feedback configurations. Each chapter is completed by a group of worked examples, which reveal additional insights and extensions of the theory presented in the chapter. Three of the examples illustrate the application of the theory to two physical cases: the depth and pitch control of a submarine and the control of a Rosenbrock process. In the latter case, designs with and without decoupling are compared.
This book provides researchers and graduate students working in feedback control with a valuable reference for Wiener–Hopf theory of multivariable design. Basic knowledge of linear systems and matrix theory is required.
This book contains a derivation of the subset of stabilizing controllers for analog and digital linear time-invariant multivariable feedback control systems that insure stable system errors and stable controller outputs for persistent deterministic reference inputs that are trackable and for persistent deterministic disturbance inputs that are rejectable. For this subset of stabilizing controllers, the Wiener-Hopf methodology is then employed to obtain the optimal controller for which a quadratic performance measure is minimized. This is done for the completely general standard configuration and methods that enable the trading off of optimality for an improved stability margin and/or reduced sensitivity to plant model uncertainty are described. New and novel results on the optimal design of decoupled (non-interacting) systems are also presented.
The results are applied in two examples: the one- and three-degree-of-freedom configurations. These demonstrate that thestandard configuration is one encompassing all possible feedback configurations. Each chapter is completed by a group of worked examples, which reveal additional insights and extensions of the theory presented in the chapter. Three of the examples illustrate the application of the theory to two physical cases: the depth and pitch control of a submarine and the control of a Rosenbrock process. In the latter case, designs with and without decoupling are compared.
This book provides researchers and graduate students working in feedback control with a valuable reference for Wiener–Hopf theory of multivariable design. Basic knowledge of linear systems and matrix theory is required.
Presents a single analytical framework for major concerns in feedback system design Contains problems and complete solutions which provide additional insight Applies detailed results for 1- and 3-degree-of-freedom system configurations
Autor*in
Joseph J. Bongiorno Jr.
Themen in »Design of Linear Multivariable Feedback Control Systems«
Linear Multivariable Systems Wiener–Hopf Design Quadratic Performance Measures Parameterization of Stabilizing Controllers Transform Matrix Models Optimization by Spectral Factorization Interacting and Noninteracting Controllers Analog and Digital Systems Parameterization of Finite H2 Controllers Decoupling Controllers
Stimmen zu »Design of Linear Multivariable Feedback Control Systems«
The book presents a valuable extensive reference on the design of linear time-invariant multivariable feedback control systems by using the Wiener-Hopf methodology discussing both the theory and practical applications. The book is intended for researchers, engineers and graduate students in automation engineering who wish to learn the theories, technologies, and applications of this subject.” (Lubomír Bakule, zbMATH 1469.93001, 2021)
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