Control Theory for Linear Systems

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

List of contents

1 Introduction.- 2 Mathematical preliminaries.- 3 Systems with inputs and outputs.- 4 Controlled invariant subspaces.- 5 Conditioned invariant subspaces.- 6(C, A, B)-pairs and dynamic feedback.- 7 System zeros and the weakly unobservable subspace.- 8 System invertibility and the strongly reachable subspace.- 9 Tracking and regulation.- 10 Linear quadratic optimal control.- 11 The H2 optimal control problem.- 12 H? control and robustness.- 13 The state feedback H? control problem.- 14 The H? control problem with measurement feedback.- 15 Some applications of the H? control problem.- A Distributions.- A.1 Notes and references.

Summary

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Product details

• Authors: Ma Hautus, Malo Hautus, Anton Stoorvogel, Anton A Stoorvogel, Anton A. Stoorvogel, Harry trentelman, Harry L Trentelman, Harry L. Trentelman
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 13.03.2013
• EAN: 9781447110736
• ISBN: 978-1-4471-1073-6
• No. of pages: 389
• Dimensions: 155 mm x 234 mm x 24 mm
• Weight: 656 g
• Illustrations: XVI, 389 p.
• Series: Communications and Control Engineering; Communications and Control Engineering
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; Maschinenbau, C, Robotics, Kybernetik und Systemtheorie, engineering, Mechanical Engineering, Systems Theory, Control, Electronic devices & materials, Control, Robotics, Mechatronics, Control, Robotics, Automation, Control engineering, Mechatronics, System Theory, Cybernetics & systems theory