Control and Dynamic Systems V18

Contents

Contributors

Preface

Contents Of Previous Volumes

Component Cost Analysis of Large-Scale Systems

I. Introduction

II. Component Descriptions

III. Concepts of Cost Decomposition

IV. Basic Theorems of Component Cost Analysis for Model Reduction

V. Modal Cost Analysis

VI. Modal Error Indices

VII. Cost-Equivalent Realizations and Minimal Realizations with Respect to Cost

VIII. Should Reduced Models Depend upon the Weights in the Quadratic Costs?

IX. Stability Considerations

X. CER Examples

XI. Applications of CCA to Controller Reduction

XII. Conclusions

References

Reduced-Order Modeling and Filtering

I.Introduction

II.Reduced-Order Modeling

III.Reduced-Order Filtering

IV. Solution Procedure

V. Example

VI. Discrete Problems

VII. Summary and Conclusions

References

Modeling Techniques for Distributed Parameter Systems

I. Introduction

II. Jacobi Polynomials

III. Jacobi Vectors

IV. Modeling

V. Identification

VI. Application Techniques

VII. Illustrative Example

VIII. Conclusions

References

Appendix A: Green’s Function

Appendix B: Gaussian Quadrature

Application of Singular Perturbations to Optimal Control

I. Introduction

II. The Singularly Perturbed Minimum Control Effort Problem

III. Dynamic Programming Using Singular Perturbations

IV. Summary

References

Design Techniques for Multivariable Flight Control Systems

I. Introduction

II. Discussion of Techniques

III. Conclusions and Recommendations

References

A Discrete-Time Disturbance-Accommodating Control Theory for Digital Control of Dynamical Systems

I. Introduction

II. Brief Overview of DAC Theory

III. Mathematical Models of Plants, Disturbances, and Commands for Discrete-Time DAC

IV. Composite State-Observers for Discrete-Time DAC

V. Design of Discrete-Time DAC Control Policies

VI. Conclusions

References

Ship Propulsion Dynamics Simulationer

I. Introduction

II. The Ship and Its Environment

III. Ship’s Motion Equations

IV. Decoupling and Simplification

V. The Propeller Thrust and Torque Equations

VI. Ship Propulsion Systems

VII. Propulsion System Simulation

VIII. Quasi-Steady versus Dynamic Behavior

IX. Nonlinear Models versus Linearization

X. Mechanics of Simulation

XI. Simulated Ship Crashback Example

XII. Summary

References

Toward a More Practical Control Theory for Distributed Parameter Systems

I. Introduction

II. Reduced-Order Models of Distributed Parameter Systems

III. The Distributed Parameter Systems Control Problem

IV. Infinite-Dimensional Distributed Parameter Systems Controllers

V. Finite-Dimensional Controller Synthesis for Distributed Parameter Systems

VI. Closed-Loop Stability Analysis: Regular Perturbations

VII. Closed-Loop Stability Analysis: Singular Perturbations

VIII. Related Topics: Stabilizing Subspaces and Imbedding

IX. Disturbances and Nonlinearities

X. Application: Control of Mechanically Flexible Structures

XI. Summary and Conclusions

Appendix I: Proofs of Theorems IV. 1 and IV.2

Appendix II: Proof of Theorem IV.3

Appendix III: Proofs of Lemma VI.3 and Theorems VI.1 and VI.2

References

Index