Advances in control systems. theory and applications / Volume 4 :
Advances in Control Systems.
Clasificación: | Libro Electrónico |
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Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Academic Press,
1966.
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Temas: | |
Acceso en línea: | Texto completo Texto completo |
Tabla de Contenidos:
- Front Cover; Advances in Control Systems:Theory and Applications; Copyright Page; Contributors; Preface; Table of Contents; Contents of Previous Volumes; Chapter 1. Algorithms for SequentialOptimization of Control Systems; I. Introduction; II. Optimization of a Class of Linear Problems; III. A Gradient Algorithm for the Linear Problem; IV. Computational Aspects of the Linear Problem; V. Numerical Experimentation with Linear Problems; VI. Application to a Class of Nonlinear Problems; VII. Summary and Conclusions; Appendix. General Gradient Acceleration Method; List of Symbols; References
- Chapter 2. Stability of Stochastic Dynamical Systems1I. Introduction; II. Stochastic Liapunov Theorems; III. Examples of the Stochastic Liapunov Theory; IV. An Indirect Method for Linear Systems; V. Application of KroneckerProduction; References; Chapter 3. Trajectory OptimizationTechniques; I. Introduction; II. Indirect Methods; III. Method of Gradients; IV. Second-Variation Method; V. Generalized Newton-Raphson Method; VI. Comparison of Methods; References; Chapter 4. Optimum Control of Multidimensionaland Multilevel Systems; I. Introduction
- II. Optimum Control of Linear Multidimensional SystemsIII. Optimum Distribution of Load by Second-Level Controller; IV. Cyclic Optimization of Interacting Dynamic Subsystems; V. Optimum Control of Aggregated Systems; References; Chapter 5. Optimal Control of LinearStochastic Systems with Complexity Constraints; I. Introduction; II. Examples of Constrained-Optimal-Control Problems; III. Formulation of the Constrained-Optimal-ControlProblem; IV. Solution of the Constrained-Optimal-ControlProblem-Continuous Time; V. Solution of the Constrained-Optimal-ControlProblem-Discrete Time
- VI. Solution of Optimal-Control Problems in the Absence of Complexity ConstraintsVII. Numerical Results; Appendix 1. Linearized Formulation of the Intercept Guidance Problem; Appendix 2. Matrix Formulation of the Intercept Guidance Problem Using Proportional Navigation; Appendix 3. Matrix Formulation of the Laning and Battin Problem; Appendix 4. The Variance Equation; Appendix 5. Solution for Singular Control Variables-Problems Nonlinear in the State; Appendix 6. Numerical Solution of the Euler Equationsin the Discrete Case
- Appendix 7. Convergence of the ""Modified"" Method of Local OptimizationAppendix 8. Normalization of Control Gains; Appendix 9. Convergence of the Gain Coefficients in Applications of Steepest Descent; ACKNOWLEDGMENT; References; Chapter 6. Convergence Propertiesof the Method of Gradients; I. Summary and Definition of Problem; II. Large-Amplitude Theory; III. Small-Amplitude Theory; IV. Discussion; Appendix 1. Sensitivity of Performance Index to Perturbations in Control in the Singular Case; Appendix 2. Optimal Choice of Step Size and General Expression for Convergence of the Performance Index