Linear System Theory and Design
Oxford University Press Inc (Verlag)
978-0-19-539207-4 (ISBN)
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This book develops all theorems and results in a logical way so that readers can gain an intuitive understanding of the theorems. This revised edition begins with the time-invariant case and extends through the time-varying case. It also starts with single-input single-output design and extends to multi-input multi-output design. Striking a balance between theory and applications, Linear System Theory and Design, 3/e, is ideal for use in advanced undergraduate/first-year graduate courses in linear systems and multivariable system design in electrical, mechanical, chemical, and aeronautical engineering departments. It assumes a working knowledge of linear algebra and the Laplace transform and an elementary knowledge of differential equations.
PREFACE ; 1.INTRODUCTION ; 1.1.INTRODUCTION ; 1.2.OVERVIEW ; 2.MATHEMATICAL DESCRIPTIONS OF SYSTEMS ; 2.1.INTRODUCTION ; 2.2.LINEAR SYSTEMS ; 2.3.LINEAR TIME-INVARIANT (LTI) SYSTEMS ; 2.4.LINEARIZATION ; 2.5.EXAMPLES ; 2.6.DISCRETE-TIME SYSTEMS ; 3.LINEAR ALGEBRA ; 3.1.INTRODUCTION ; 3.2.BASIS, REPRESENTATION, AND ORTHONORMALIZATION ; 3.3.LINEAR ALGEBRAIC EQUATIONS ; 3.4.SIMILARITY TRANSFORMATION ; 3.5.DIAGONAL FORM AND JORDAN FORM ; 3.6.FUNCTIONS OF A SQUARE MATRIX ; 3.7.LYAPUNOV EQUATION ; 3.8.SOME USEFUL FORMULA ; 3.9.QUADRATIC FORM AND POSITIVE ; 3.10.SINGULAR VALUE DECOMPOSITION ; 3.11.NORMS OF MATRICES ; 4.STATE-SPACE SOLUTIONS AND REALIZATIONS ; 4.1.INTRODUCTION ; 4.2.SOLUTION OF LTI STATE EQUATIONS ; 4.3.EQUIVALENT STATE EQUATIONS ; 4.4.REALIZATIONS ; 4.5.SOLUTION OF LINEAR TIME-VARYUBG (LTV) EQUATIONS ; 4.6.EQUIVALENT TIME-VARYING EQUATIONS ; 4.7.TIME-VARYING REALIZATIONS ; 5.STABILITY ; 5.1.INTRODUCTION ; 5.2.INPUT-OUTPUT STABILITY OF LTI SYSTEMS ; 5.3.INTERNAL STABILITY ; 5.4.LYAPUNOV THEOREM ; 5.5.STABILITY OF LTV SYSTEMS ; 6.CONTROLLABILITY AND OBSERVABILITY ; 6.1.INTRODUCTION ; 6.2.CONTROLLABILITY ; 6.3.OBSERVABILITY ; 6.4.CANONICAL DECOMPOSITION ; 6.5.CONDITIONS IN JORDAN-FORM EQUATIONS ; 6.6.DISCRETE-TIME STATE EQUATIONS ; 6.7.CONTROLLABILITY AFTER SAMPLING ; 6.8.LTV STATE EQUATIONS ; 7.MINIMAL REALIZATIONS AND COPRIME FRACTIONS ; 7.1.INTRODUCTION ; 7.2.IMPLICATIONS OF COPRIMENESS ; 7.3.COMPUTING COPRIME FRACTIONS ; 7.4.BALANCED REALIZATION ; 7.5.REALIZATIONS FROM MARKOV PARAMETERS ; 7.6.DEGREE OF TRANSFER MATRICES ; 7.7.MINIMAL REALIZATIONS- MATRIX CASE ; 7.8.MATRIX POLYNOMIAL FRACTIONS ; 7.9.REALIZATION FROM MATRIX COPRIME FRACTIONS ; 7.10.REALIZATIONS FROM MATRIX MARKOV PARAMETERS ; 7.11.CONCLUDING REMARKS ; 8.STATE FEEDBACK AND STATE ESTIMATORS ; 8.1.INTRODUCTION ; 8.2.STATE FEEDBACK ; 8.3.REGULATION AND TRACKING ; 8.4.STATE ESTIMATOR ; 8.5.FEEDBACK FROM ESTIMATED STATES ; 8.6.STATE FEEDBACK-MULTIVARIABLE CASE ; 8.7.SATE ESTIMATORS-MULTIVARIABLE CASE ; 8.8.FEEDBACK FROM ESTIMATED STATES-MULTIVARIABLE CASE ; 9.POLE PLACEMENT AND MODEL MATCHING ; 9.1.INTRODUCTION ; 9.2.UNITY-FEEDBACK AND CONFIGURATION-POLE PLACEMENT ; 9.3.IMPLEMENTABLE TRANSFER FUNCTIONS ; 9.4.MULTIVARIABLE UNITY FEEDBACK SYSTEMS ; 9.5.MULTIVARIABLE MODEL MARCHING-TWO-PARAMETER CONFIGURATION ; 9.6.CONCLUDING REMARKS ; REFERENCES ; ANSWERS TO SELECTED PROBLEMS ; INDEX
| Erscheint lt. Verlag | 30.4.2009 |
|---|---|
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 192 x 235 mm |
| Gewicht | 628 g |
| Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
| Naturwissenschaften ► Chemie ► Technische Chemie | |
| Technik ► Elektrotechnik / Energietechnik | |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-19-539207-8 / 0195392078 |
| ISBN-13 | 978-0-19-539207-4 / 9780195392074 |
| Zustand | Neuware |
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