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Control and optimal control theories with applications /
This sound introduction to classical and modern control theory concentrates on fundamental concepts. Employing the minimum of mathematical elaboration, it investigates the many applications of control theory to varied and important present-day problems, e.g. economic growth, resource depletion, dise...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester :
Horwood,
2004.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; CONTROL AND OPTIMAL CONTROLTHEORIES WITH APPLICATIONS; Copyright; Table of Contents; Preface; Part I
- Control; CHAPTER 1 System dynamics and differential equations; 1.1 INTRODUCTION; 1.2 SOME SYSTEM EQUATIONS; 1.3 SYSTEM CONTROL; 1.4 MATHEMATICAL MODELS AND DIFFERENTIAL EQUATIONS; 1.5 THE CLASSICAL AND MODERN CONTROL THEORY; PROBLEMS; CHAPTER 2 Transfer functions and block diagrams; 2.1 INTRODUCTION; 2.2 REVIEW OF LAPLACE TRANSFORMS; 2.3 APPLICATIONS TO DIFFERENTIAL EQUATIONS; 2.4 TRANSFER FUNCTIONS; 2.5 BLOCK DIAGRAMS; PROBLEMS; CHAPTER 3 State-space formulation; 3.1 INTRODUCTION.
- 3.2 STATE-SPACE FORMS3.3 USING THE TRANSFER FUNCTION TO DEFINE STATE VARIABLES; 3.4 DIRECT SOLUTION OF THE STATE-EQUATION; 3.5 SOLUTION OF THE STATE-EQUATION BY LAPLACE TRANSFORMS; 3.6 THE TRANSFORMATION FROM THE COMPANION TO THEDIAGONAL STATE FORM; 3.7 THE TRANSFER FUNCTION FROM THE STATE EQUATION; PROBLEMS; CHAPTER 4Transient andsteady state response analysis; 4.1 INTRODUCTION; 4.2 RESPONSE OF FIRST ORDER SYSTEMS; 4.3 RESPONSE OF SECOND ORDER SYSTEMS; 4.4 RESPONSE OF HIGHER ORDER SYSTEMS; 4.5 STEADY STATE ERROR; 4.6 FEEDBACK CONTROL; PROBLEMS; CHAPTER 5 Stability; 5.1 INTRODUCTION.
- 5.2 THE CONCEPT OF STABILITY5.3 ROUTH STABILITY CRITERION; 5.4 INTRODUCTION TO LIAPUNOV'S METHOD; 5.5 QUADRATIC FORMS; 5.6 DETERMINATION OF LIAPUNOV'S FUNCTIONS; 5.7 THE NYQUIST STABILITY CRITERION; 5.8 THE FREQUENCY RESPONSE; 5.9 AN INTRODUCTION TO CONFORMAL MAPPINGS; 5.10 APPLICATION OF CONFORMAL MAPPINGS TO THE FREQUENCYRESPONSE; PROBLEMS; CHAPTER 6Controllability and observability; 6.1 INTRODUCTION; 6.2 CONTROLLABILITY; 6.3 OBSERVABILITY; 6.4 DECOMPOSITION OF THE SYSTEM STATE; 6.5 A TRANSFORMATION INTO THE COMPANION FORM; PROBLEMS; CHAPTER 7Multivariable feedback and pole location.
- 7.1 INTRODUCTION7.2 STATE FEEDBACK OF A SISO SYSTEM; 7.3 MULTIVARIABLE SYSTEMS; 7.4 OBSERVERS; PROBLEMS; Part II
- Optimal Control; CHAPTER 8Introduction to optimal control; 8.1 CONTROL AND OPTIMAL CONTROL; 8.2 EXAMPLES; 8.3 FUNCTIONALS; 8.4 THE BASIC OPTIMAL CONTROL PROBLEM; PROBLEMS; CHAPTER 9Variational calculus; 9.1 THE BRACHISTOCHRONE PROBLEM; 9.2 EULER EQUATION; 9.3 FREE END CONDITIONS; 9.4 CONSTRAINTS; CHAPTER 10Optimal control withunbounded continuous controls; 10.1 INTRODUCTION; 10.2 THE HAMILTONIAN; 10.3 EXTENSION TO HIGHER ORDER SYSTEMS; 10.4 GENERAL PROBLEM; PROBLEMS.
- CHAPTER 11Bang-bang control11.1 INTRODUCTION; 11.2 PONTRYAGIN'S PRINCIPLE; 11.3 SWITCHING CURVES; 11.4 TRANSVERSALITY CONDITIONS; 11.5 EXTENSION TO THE BOLTZA PROBLEM; PROBLEMS; CHAPTER 12Applications of optimal control; 12.1 INTRODUCTION; 12.2 ECONOMIC GROWTH; 12.3 RESOURCE DEPLETION; 12.4 EXPLOITED POPULATIONS; 12.5 ADVERTISING POLICIES; 12.6 ROCKET TRAJECTORIES; 12.7 SERVO PROBLEM; PROBLEMS; CHAPTER 13Dynamic programming; 13.1 INTRODUCTION; 13.2 ROUTING PROBLEM; 13.3 D.P. NOTATION; 13.4 EXAMPLES; 13.5 BELLMAN'S EQUATION; 13.6 THE MAXIMUM PRINCIPLE; PROBLEMS; APPENDIX 1Partial fractions.