Verfügbarkeit: Linear optimal control | Technische Universität München

Linear optimal control:

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Bibliographische Detailangaben
Beteiligte Personen:	Anderson, Brian D. O. 1949- (VerfasserIn), Moore, John Bassett 1860-1947 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Englewood Cliffs, N. J. Prentice-Hall 1971
Ausgabe:	1. print.
Schriftenreihe:	Prentice-Hall networks series Prentice-Hall electrical engineering series
Schlagwörter:	Commande, Théorie de la Control theory Kontrolltheorie Lineare Regelung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015131730&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	399 S.
ISBN:	0135368707

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS Part I INTRODUCTION 1 Chapter 1 INTRODUCTION 3 1.1 Linear Optimal Control 3 1.2 About this Book in Particular 5 1.3 Part and Chapter Outline 6 Part II BASIC THEORY OF THE OPTIMAL REGULATOR 9 Chapter 2 THE STANDARD REGULATOR PROBLEM—I 11 2.1 A Review of the Regulator Problem 11 2.2 The Hamilton-Jacobi Equation 16 2.3 Solution of the Finite-Time Regulator Problem 23 Chapter 3 THE STANDARD REGULATOR PROBLEM—II 31 3.1 The Infinite-Time Regulator Problem 31 3.2 Stability of the Time-Invariant Regulator 39 3.3 Summary and Discussion of the Regulator Problem Results 43 3.4 Extensions of the Regulator Problem 46 xi xii CONTENTS Chapter 4 THE REGULATOR WITH A PRESCRIBED DEGREE OF STABILITY 50 4.1 Qualitative Statement of the Regulator Problem with a Prescribed Degree of Stability 50 4.2 Quantitative Statement and Solution of the Regulator Problem with a Prescribed Degree of Stability 53 4.3 Extensions of the Preceding Results 59 Part III PROPERTIES AND APPLICATION OF THE OPTIMAL REGULATOR S3 Chapter 5 PROPERTIES OF REGULATOR SYSTEMS WITH A CLASSICAL CONTROL INTERPRETATION 65 5.1 The Regulator from an Engineering Viewpoint 65 5.2 Some Fundamental Formulas 68 5.3 Gain Margin, Phase Margin and Time-delay Tolerance 70 5.4 Positioning of the Closed-Loop System Poles 77 Chapter 6 INSERTION OF NONLINEARITIES IN OPTIMAL REGULATORS 91 6.1 Tolerance of Nonlinearities in the Feedback Loop 91 6.2 Relay Control Systems 99 6.3 Introduction of Relays into Nominally Optimal Systems 111 Chapter 7 SENSITIVITY ASPECTS OF OPTIMAL REGULATORS 117 7.1 The Sensitivity Problem 117 7.2 Sensitivity Reduction In Optimal Regulators 125 7.3 The Inverse Regulator Problem 135 7.4 Further Discussion of the Pole-Positioning Problem 141 Chapter 8 STATE ESTIMATOR DESIGN 145 8.1 The Nature of the State Estimation Problem 145 8.2 Nonstatistical Estimator Design with Full Estimator Dimension 149 8.3 Nonstatistical Estimator Design with Reduced Estimator Dynamics 159 8.4 Statistical Estimator Design (The Kalman-Bucy Filter) 169 CONTENTS xiii Chapter 9 SYSTEM DESIGN USING STATE ESTIMATORS 192 9.1 Controller Design—Basic Versions 192 9.2 Variants on the Basic Controller 203 9.3 Simplifications of the Controller for Multiple-Output, Single-Input Systems 212 9.4 The Separation Theorem 222 Part IV EXTENSIONS TO MORE COMPLEX PROBLEMS 225 Chapter 10 OPTIMAL LINEAR REGULATORS WITH INPUT DISTURBANCES 227 10.1 Proportional-plus-Integral Feedback 227 10.2 The Regulator Problem with Derivative Constraints 229 10.3 Application and Properties of Optimal Regulators which Include Integral Feedback 237 Chapter 11 TRACKING SYSTEMS 247 11.1 The Problem of Achieving a Desired Trajectory 247 11.2 Finite-Time Results 251 11.3 Infinite-Time Results 261 Chapter 12 OPTIMAL REGULATORS WITH DUAL-MODE CONTROL 272 12.1 The Bang-Bang Mode and Linear Mode 272 12.2 Linear Mode Solutions to the Singular Optimal Control Problem 282 12.3 Properties of the Dual-Mode Optimal Regulator 291 12.4 Optimal Regulator with Bounds on the Control Derivative 299 Chapter 13 OPTIMAL LINEAR REGULATORS WITH CONTROLLER CONSTRAINTS 303 13.1 Formulation of Specific Optimal Regulator Problems 303 13.2 Analytical Results and Computational Aspects 308 13.3 Properties of Optimal Solutions 316 13.4 Dynamic Controllers 321 Xiv CONTENTS Chapter 14 TWO FURTHER TOPICS 328 14.1 Discrete Time Systems 328 14.2 The Infinite-Time Regulator Problem for Time-Varying Systems 335 Part V COMPUTATIONAL ASPECTS 341 Chapter 15 SOLUTION OF THE RICCATI EQUATION 343 15.1 Preliminary Remarks 343 15.2 Riccati Equation Solution with the Aid of a Linear Differential Equation 345 15.3 Steady-State Solution of the Riccati Equation 353 15.4 Approximate Solutions of High-Order Riccati Equations via Singular Perturbation 363 Appendix A BRIEF REVIEW OF SOME RESULTS OF MATRIX THEORY 376 Appendix B BRIEF REVIEW OF SEVERAL MAJOR RESULTS OF LINEAR SYSTEM THEORY 389 INDEX 393
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illustrated	Not Illustrated
indexdate	2024-12-20T12:44:48Z
institution	BVB
isbn	0135368707
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015131730
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publishDate	1971
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publisher	Prentice-Hall
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series2	Prentice-Hall networks series Prentice-Hall electrical engineering series
spellingShingle	Anderson, Brian D. O. 1949- Moore, John Bassett 1860-1947 Linear optimal control Commande, Théorie de la Control theory Kontrolltheorie (DE-588)4032317-1 gnd Lineare Regelung (DE-588)4035819-7 gnd
subject_GND	(DE-588)4032317-1 (DE-588)4035819-7
title	Linear optimal control
title_auth	Linear optimal control
title_exact_search	Linear optimal control
title_full	Linear optimal control Brian D. O. Anderson ; John B. Moore
title_fullStr	Linear optimal control Brian D. O. Anderson ; John B. Moore
title_full_unstemmed	Linear optimal control Brian D. O. Anderson ; John B. Moore
title_short	Linear optimal control
title_sort	linear optimal control
topic	Commande, Théorie de la Control theory Kontrolltheorie (DE-588)4032317-1 gnd Lineare Regelung (DE-588)4035819-7 gnd
topic_facet	Commande, Théorie de la Control theory Kontrolltheorie Lineare Regelung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015131730&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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