Control and Dynamic Systems V32: Advances in Aerospace Systems Dynamics and Control Systems Part 2 of 3

Contributors

Preface

Practical Considerations in Optimal and 4-Dimensional Flight Management Computations

I. Flight Management Systems Background

II. A Simulation Study

III. Optimum Cost Index Search

IV. Fine Speed Adjustment

V. Wind Forecast Error Compensation

VI. Conclusions

References

Optimal Reduced-Order Subspace-Observer Design with a Frequency-Domain Error Bound

I. Introduction

II. Notation and Definitions

III. The Optimal Reduced-Order Subspace-Observer Problem

IV. The Optimal Reduced-Order Subspace-Observer Problem with an H∞ Error Constraint

V. Sufficient Conditions for Combined Least-Squares and Frequency-Domain Error Estimation

Appendix. Proof of Theorem 2

References

Proportional Navigation and the Game of Two Cars in Three Dimensions: A Time-Dependent Stochastic Differential Game

I. Introduction

II. The Fundamental Equations

III. Formulation of the Problem

IV. Computation of Feedback Strategies

V. A Numerical Study

VI. Conclusions

References

Parameter Identification in Distributed Structures

I. Introduction

II. Equation of Motion

III. The Differential Eigenvalue Problem

IV. Solution of the Eigenvalue Problem by Approximate Methods

V. Finite Element-Based Parameter Identification

VI. A Perturbation Technique for Parameter Identification

VII. A Rayleigh-Ritz Type Parameter Identification

VIII. Modal Identification of Self-Ad joint Systems

IX. An Inclusion Principle for Parameter Identification

X. Summary

References

Combined Structural and Control Optimization: A Steepest Descents Approach

I. Introduction

II. A Specific Combined Structural and Control Optimization Problem

III. The Numerical Algorithm

IV. The 10-Bar Truss

V. Simulation Preliminaries

VI. Simulation Results

VII. Controlled System Response

VIII. Further Optimization Results

IX. Conclusion

References

An Asymptotic Perturbation Method for Nonlinear Optimal Control Problems

I. Introduction

II Optimal Control Formulation

III. An Asymptotic Perturbation Method: The Pedestrian Expansion

IV. Solution of the Nonhomogenous Equations

V. Determination of the Initial Costates

VI. Recursive Solution for the State/Costate Trajectories

VII. Illustrative Examples

VIII. Conclusions

References

Reliability Issues in Structural Control

I. Introduction

II. Equations of Motion

III. Robust Control Design

IV. Component Failure Detection

V. Optimal Allocation of Sensors, Actuators, and Their Backups

VI. Future Directions

Appendix. Methods for Extracting Model Coordinates from the System Output

References

Control Law Synthesis and Stability Robustness Improvement Using Constrained Optimization Techniques

I. Introduction

II. Equations of Motion

III. System Description

IV. Stability Robustness Review

V. Optimization Scheme

VI. Analytical Gradients

VII. Gradients of Singular Values

VIII. Discrete System

IX. Design Variables

X. Examples

XI. Conclusions

Appendix A. Matrix Differentiation

Appendix B. Singular Value Gradients

References

Computational Methods for Decoy Discrimination and Optimal Targeting in Ballistic Missile Defense

I. Introduction

II. Analysis of the Sequential Arrival, Measurement, and Targeting Problem

III. Analysis of Simultaneous Arrival, Measurement, and Targeting Problem

IV. Numerical Results

V. Summary

References

Index