Linear Quadratic Control An Introduction

Name: Linear Quadratic Control An Introduction
Availability: OutOfStock
ISBN: 9780023299629

ISBN-10: 0023299622

ISBN-13: 9780023299629

Edition: 1st 1995

Authors: Peter Dorato, Chaouki T. Abdallah, Vito Cerone

List price: $31.60

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Description:

The purpose of this book is to provide an introduction to linear quadratic theory beyond the typical chapter on the subject found in texts on optimal or multivariable control. Of course, as an introductory text, the material here is not as detailed as that found in advanced books devoted exclusively to the subject.

Book details

List price: $31.60
Edition: 1st
Copyright year: 1995
Publisher: Prentice Hall PTR
Binding: Hardcover
Pages: 256
Size: 6.25" wide x 9.50" long x 0.50" tall
Weight: 0.836
Language: English



Preface


Table of Contents


Forward


Introduction


Historical Sketch


Prerequisites


Organization and Scope of Text


The LQR Problem


LQR Problem Statement


Hamilton-Jacobi Equation


LQR Solution: Matrix Riccati Equation


Riccati Equation Solution


Steady-State Regulator Problem


Sufficient Conditions for Optimality


Selection of M, Q, and R Matrices


Matlab Software


Notes and References


Problems


Tracking and Disturbance Rejection


Tracking Problem


Disturbance-Rejection Problem


Disturbance-Rejection Solution


Steady-State and Preview Control


Unknown Disturbances


Matlab Software


Notes and References


Problems


LQR Robustness Properties


Robust-Stability Condition


Kalman's Inequality


Gain and Phase Margins


Matlab Software


Notes and References


Problems


Stochastic Control


Stochastic Differential Equations


Stochastic Hamilton-Jacobi Equation


Additive Disturbances


Multiplicative Disturbances


Sufficient Conditions for Optimality


Stochastic-Deterministic Dualism


Matlab Software


Notes and References


Problems


The LQG Problem


Kalman-Bucy Filter


LQG Solution: Separation Principle


Fixed-Order Compensators


Matlab Software


Notes and References


Problems


Robustness Design


The Robustness Problem


LQG/LTR Design


Guaranteed-Cost Design


A Brief Survey of H[infinity] Methods


Linear Matrix Inequality Methods


Matlab Software


Notes and References


Problems


Digital Control


Digital-Control Issues


Discrete-Time LQR Problem


Discrete-Time LQR Optimization


Steady-State Control


Matlab Software


Notes and References


Problems