Feedback Optimal Control

By: Rafail Gabasov, Faima M. Kirillova, Svetlana V. Prischepova

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226 Pages

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This book outlines a new approach to constructing optimal feedback controls for linear control systems that are under the influence of constantly acting bounded perturbations. The optimal synthesis problem is solved by using discrete time systems obtained from continuous ones. Feedback and output feedback are also examined within this context. In cases where only incomplete or imprecise data are available, algorithms for optimal estimators as well as algorithms of optimal identifiers are described. Algorithms for optimal controllers are also constructed. An algorithm for optimal stabilization by bounded controls is also proposed whilst the Appendix of the book contains the outline of the adaptive method of programming which is the foundation for the approach used in the rest of the book.

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Non-Fiction Computing & I.T.Computer Programming & Software Development Software Engineering Engineering & Technology Electronics & Communications Engineering Electronics Engineering Automatic Control Engineering Robotics Energy Technology & Engineering Electrical Engineering Library & Info Sciences

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Introduction
Optimization of Linear Systems	p. 1
Discrete Control Systems. Cauchy's Formula	p. 1
[Epsilon]-Maximum Principle	p. 9
Algorithm for Constructing Optimal Program Controls	p. 21
Dynamic Uncertain Systems	p. 29
Adjoint Problems of Control, Observation and Identification	p. 29
A Finite Algorithm for Constructing Program Solutions of an Incompletely Determined Linear Optimal Control Problem	p. 37
Optimization of Dynamic Systems With Identification of Input Perturbations	p. 50
Optimal Estimator for Dynamic Systems	p. 63
Optimal Identification for Dynamic Systems	p. 72
Optimal Controllers	p. 81
Optimal Controller for Discrete Control Systems	p. 81
Time Optimal Synthesis of Discrete Control Systems	p. 97
Optimal Controller for Discrete Systems With Indeterminate Perturbations	p. 110
Optimal Controller With Perturbation Prediction	p. 124
Stability, Stabilization and Optimality	p. 130
Constructing Optimal Feedback Controls	p. 135
Synthesis of Optimal Controls on Inexact Measurements of Output Signals	p. 135
Program Solution of [Tau]-Observation Problem	p. 139
Synthesis of Optimal Estimator	p. 142
Program Solution of [Tau]-Control Problem	p. 151
Optimal Controller Synthesis	p. 154
An Appendix. Adaptive Method of Linear Programming	p. 160
References	p. 199
Table of Contents provided by Blackwell. All Rights Reserved.

Feedback Optimal Control

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