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Optimal Control Linear Quadratic Methods

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ISBN-10: 0486457664

ISBN-13: 9780486457666

Edition: 2007

Authors: Brian D. O. Anderson, John B. Moore

List price: $24.95
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Description:

Numerous examples highlight this treatment of the useof linear quadratic Gaussian methods for control system design. It explores linear optimal control theory from an engineering viewpoint, with illustrations of practical applications. Key topics include loop-recovery techniques, frequency shaping, and controller reduction. 1990 edition.
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Book details

List price: $24.95
Copyright year: 2007
Publisher: Dover Publications, Incorporated
Publication date: 2/27/2007
Binding: Paperback
Pages: 464
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.518
Language: English

Preface
Basic Theory of the Optimal Regulator
Introduction
Linear Optimal Control
About This Book in Particular
Part and Chapter Outline
The Standard Regulator Problem-I
A Review of the Regulator Problem
The Hamilton-Jacobi Equation
Solution of the Finite-Time Regulator Problem
Discrete Time Systems
The Standard Regulator Problem-II
The Infinite-Time Regulator Problem
Stability of the Time-Invariant Regulator
Summary and Discussion of the Regulator Problem Results
Cross-Product Terms and Second Variation Theory
Regulator with a Prescribed Degree of Stability
Tracking Systems
The Problem of Achieving a Desired Trajectory
Finite-Time Results
Infinite-Time Results
A Practical Design Example
Properties and Application of the Optimal Regulator
Properties of Regulator Systems with a Classical Control Interpretation
The Regulator from an Engineering Viewpoint
Return Difference Equality and Related Formulas
Some Classical Control Ideas: Sensitivity, Complementary Sensitivity, and Robustness
Gain Margin, Phase Margin, and Time-Delay Tolerance
Insertion of Nonlinearities
The Inverse Optimal Control Problem
Return Difference Equality for Discrete-Time Regulators
Asymptotic Properties and Quadratic Weight Selection
Single Input Systems
Multivariable Systems
Further Issues in Q, R Selection
State Estimator Design
The Nature of the State Estimation Problem
Deterministic Estimator Design
Statistical Estimator Design (The Kalman-Bucy Filter)
System Design Using State Estimators
Controller Design-Basic Versions and Variations
The Separation Theorem and Performance Calculation
Loss of Passband Robustness with Observers
Loop Recovery
Robustness Improvement via Residual Feedback
Frequency Shaping
Blending Classical and Linear Quadratic Methods
State Estimate Feedback with Frequency Shaping
Proportional Plus Integral State Feedback
Proportional Plus Integral State Estimate Feedback
Controller Reduction
Introduction: Selection of Frequency Weighting
Frequency-Weighted Balanced Truncation
Approaches to Controller Reduction via Fractional Representations
Direct Design of Low-Order Controllers
Digital Controllers
Controller Implementation
Sampling Time Selection
Anti-Aliasing Analog Prefilter
The Discrete-Time Transfer Function
State-Variable Implementation of the Discrete-Time Transfer Function
Appendices
Brief Review of Some Results of Matrix Theory
Brief Review of Some Major Results of Linear System Theory
The Pontryagin Minimum Principle and Linear Optimal Control
Lyapunov Stability
The Riccati Equation
Author Index
Subject Index
Solutions