Cover Image
Read Now

Minimum Entropy Control for Time-Varying Systems

One of the main goals of optimal control theory is to provide a theoretical basis for choosing an appropriate controller for whatever system is under consideration by the researcher or engineer. Two popular norms that have proved useful are known as H-2 and H - infinity control. The first has been p...

Full description

Bibliographic Details
Main Authors: Peters, Marc A., Iglesias, Pablo (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 1997, 1997
Edition:1st ed. 1997
Series:Systems & Control: Foundations & Applications
Subjects:
Thermodynamics
Mathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 1.1 Optimal control problems
  • 1.2 Minimum entropy control
  • 1.3 The maximum entropy principle
  • 1.4 Extensions to time-varying systems
  • 1.5 Organization of the book
  • 2 Preliminaries
  • 2.1 Discrete-time time-varying systems
  • 2.2 State-space realizations
  • 2.3 Time-reverse systems
  • 3 Induced Operator Norms
  • 3.1 Characterizations of the induced norm
  • 3.2 Time-varying hybrid systems
  • 3.3 Computational issues
  • 4 Discrete-Time Entropy
  • 4.1 Entropy of a discrete-time time-varying system
  • 4.2 Properties
  • 4.3 Entropy and information theory
  • 4.4 Entropy of an anti-causal system
  • 4.5 Entropy and the W-transform
  • 4.6 Entropy of a non-linear system
  • 5 Connections With Related Optimal Control Problems
  • 5.1 Relationship with H?control
  • 5.2 Relationship with H2 control
  • 5.3 Average cost functions
  • 5.4 Time-varying risk-sensitive control
  • 5.5 Problems defined on a finite horizon
  • 6 Minimum Entropy Control
  • 6.1 Problem statement
  • 6.2 Basic results
  • 6.3 Full information
  • 6.4 Full control
  • 6.5 Disturbance feedforward
  • 6.6 Output estimation
  • 6.7 Output feedback
  • 6.8 Stability concepts
  • 7 Continuous-Time Entropy
  • 7.1 Classes of systems considered
  • 7.2 Entropy of a continuous-time time-varying system
  • 7.3 Properties
  • 7.4 Connections with related optimal control problems
  • 7.5 Minimum entropy control
  • A Proof of Theorem 6.5
  • B Proof of Theorem 7.21
  • Notation

Similar Items