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. 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.

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; C, Robotics, engineering, Mechanical Engineering, Systems Theory, Control, Electronic devices & materials, Control, Robotics, Mechatronics, Control, Robotics, Automation, Control engineering, Mechatronics, System Theory, Cybernetics & systems theory