Advances in Control Systems

Contributors

Preface

Guidance and Control of Reentry and Aerospace Vehicles

I. Introduction

II. Near-Earth Navigation

III. Orbit Determination

IV. Rendezvous Guidance

V. Entry Guidance

References

Two-Point Boundary-Value-Problem Techniques

I. Introduction

II. Formulation of the Two-Point Boundary-Value Problem

III. The Generalized Newton-Raphson Operator

IV. Convergence Theorems

V. Application of the Newton-Raphson Operator Method to the Problem of Optimal Control

VI. Comparison with Direct Methods

VII. Conclusions

References

The Existence Theory of Optimal Control Systems

I. Introduction

II. Review of the Principal Existence Theorems in Optimal Control

III. Controllability

IV. The Role of Existence Theorems in Optimal-Control Theory

References

Application of the Theory of Minimum-Normed Operators to Optimum-Control-System Problems

I. Optimum Terminal Control of Lumped Linear Systems

II. Synthesis of Minimum-Effort and Minimum-Time Control Functions

III. Minimum-Effort Control with a Magnitude Constraint on the Control Functions

IV. Minimum-Effort Control of Distributed-Parameter Systems

V. Summary and Extensions of the Work Presented in This Chapter

References

Kaiman Filtering Techniques

I. Introduction

II. Kaiman Filter Theory

III. Computational Considerations

IV. Application of the Kaiman Filter to Nonlinear Problems

V. Summary and Concluding Remarks

References

Application of State-Space Methods to Navigation Problems

I. Introduction

II. Examples of Nominal Trajectories

III. Equations of Motion and Notation

IV. Guidance Laws

V. Error Analysis

VI. Determination of State

VII. Parameter Estimation

References

Author Index

Subject Index