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Optimal Control: Linear Quadratic Methods (Dover Books on Engineering)

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  • ¹ßÇà : 2007³â 02¿ù 27ÀÏ
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  • ISBN : 9780486457666
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Prefacep. ix
Basic Theory of the Optimal Regulator
Introductionp. 1
Linear Optimal Controlp. 1
About This Book in Particularp. 4
Part and Chapter Outlinep. 5
The Standard Regulator Problem-Ip. 7
A Review of the Regulator Problemp. 7
The Hamilton-Jacobi Equationp. 12
Solution of the Finite-Time Regulator Problemp. 20
Discrete Time Systemsp. 28
The Standard Regulator Problem-IIp. 35
The Infinite-Time Regulator Problemp. 35
Stability of the Time-Invariant Regulatorp. 45
Summary and Discussion of the Regulator Problem Resultsp. 51
Cross-Product Terms and Second Variation Theoryp. 56
Regulator with a Prescribed Degree of Stabilityp. 60
Tracking Systemsp. 68
The Problem of Achieving a Desired Trajectoryp. 68
Finite-Time Resultsp. 71
Infinite-Time Resultsp. 84
A Practical Design Examplep. 95
Properties and Application of the Optimal Regulator
Properties of Regulator Systems with a Classical Control Interpretationp. 101
The Regulator from an Engineering Viewpointp. 101
Return Difference Equality and Related Formulasp. 104
Some Classical Control Ideas: Sensitivity, Complementary Sensitivity, and Robustnessp. 110
Gain Margin, Phase Margin, and Time-Delay Tolerancep. 116
Insertion of Nonlinearitiesp. 127
The Inverse Optimal Control Problemp. 131
Return Difference Equality for Discrete-Time Regulatorsp. 134
Asymptotic Properties and Quadratic Weight Selectionp. 139
Single Input Systemsp. 139
Multivariable Systemsp. 148
Further Issues in Q, R Selectionp. 156
State Estimator Designp. 164
The Nature of the State Estimation Problemp. 164
Deterministic Estimator Designp. 168
Statistical Estimator Design (The Kalman-Bucy Filter)p. 178
System Design Using State Estimatorsp. 207
Controller Design-Basic Versions and Variationsp. 207
The Separation Theorem and Performance Calculationp. 218
Loss of Passband Robustness with Observersp. 228
Loop Recoveryp. 236
Robustness Improvement via Residual Feedbackp. 251
Frequency Shapingp. 262
Blending Classical and Linear Quadratic Methodsp. 262
State Estimate Feedback with Frequency Shapingp. 268
Proportional Plus Integral State Feedbackp. 272
Proportional Plus Integral State Estimate Feedbackp. 282
Controller Reductionp. 289
Introduction: Selection of Frequency Weightingp. 289
Frequency-Weighted Balanced Truncationp. 294
Approaches to Controller Reduction via Fractional Representationsp. 304
Direct Design of Low-Order Controllersp. 317
Digital Controllersp. 323
Controller Implementationp. 323
Sampling Time Selectionp. 325
Anti-Aliasing Analog Prefilterp. 328
The Discrete-Time Transfer Functionp. 330
State-Variable Implementation of the Discrete-Time Transfer Functionp. 334
Appendicesp. 336
Brief Review of Some Results of Matrix Theoryp. 336
Brief Review of Some Major Results of Linear System Theoryp. 353
The Pontryagin Minimum Principle and Linear Optimal Controlp. 363
Lyapunov Stabilityp. 367
The Riccati Equationp. 370
Author Indexp. 375
Subject Indexp. 377
Solutionsp. 381
Table of Contents provided by Ingram. All Rights Reserved.

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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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