Control Theory for Linear Systems

1. Auflage. 2001
ISBN: 978-1-85233-316-4
Verlag: Springer

Buch, Englisch, 389 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1650 g

Reihe: Communications and Control Engineering

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.

Zielgruppe

Research

Autoren/Hrsg.

Trentelman, Harry L.

Hautus, Malo

Stoorvogel, Anton A.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Sensorik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

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.