Predictive Control for Spacecraft Rendezvous (SpringerBriefs in Applied Sciences and Technology)

✍ Scribed by Afonso Botelho, Baltazar Parreira, Paulo N. Rosa, João Miranda Lemos

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 116
• Category: Library

✦ Synopsis

This brief addresses the design of model predictive control algorithms for performing space rendezvous manoeuvres. It consolidates developments within guidance and control algorithms, with the aim of improving the efficiency, safety, and autonomy of these manoeuvres.

The brief presents several applications of model predictive control to rendezvous manoeuvres, including Ankersen zero-order-hold particular solution1, which provides a realistic thrust profile. It offers new approaches for rendezvous manoeuvres in elliptical orbits, formulating obstacle avoidance constraints, passive safety constraints, and robustness techniques. It also compares finite-horizon and variable-horizon formulations for model predictive control in the context of performance and computational complexity.

Predictive Control for Spacecraft Rendezvous is accessible to academics and students new to the topics of orbital rendezvous and model predictive control, but also presents compelling subject matter for researchers and professionals in the aerospace industry.

✦ Table of Contents

Preface
Contents
1 Introduction
1.1 Problem Formulation
1.2 State of the Art
1.3 Contributions
1.4 Book Outline
References
2 Model Predictive Control
2.1 Model Predictive Control Formulation
2.2 Linear Model Predictive Control
2.2.1 Reference Tracking
2.2.2 State Substitution
2.2.3 L1-Norm Cost
2.2.4 LASSO Cost
2.3 Nonlinear Model Predictive Control
2.4 Move Blocking
2.5 Experiments and Results
2.5.1 Two-Dimensional Pure Inertial System
References
3 Relative Orbital Mechanics
3.1 Nonlinear Inertial Dynamics
3.2 Target Local Orbital Frame
3.3 Approximate Equations of Relative Motion
3.3.1 Circular Orbit Case
3.3.2 Simplification of General Equations
3.3.3 Homogeneous Solution
3.3.4 Particular Solution
3.4 Relative Motion in a Circular Target Orbit
3.4.1 Free-Drift Motions
3.4.2 Impulsive Thrust Manoeuvres
3.5 Relative Motion in an Elliptic Target Orbit
3.5.1 Free-Drift Motions
3.5.2 Impulsive Thrust Manoeuvres
References
4 Rendezvous with Model Predictive Control
4.1 Prediction Model and Relative Dynamics Sampling
4.2 Rendezvous with Receding-Horizon Control
4.2.1 Short Horizon
4.2.2 Long Horizon
4.2.3 Zero State Lagrangian
4.3 Fixed-Horizon Model Predictive Control
4.3.1 Fuel-Optimal LP Formulation
4.3.2 Control Saturation
4.4 Variable-Horizon Model Predictive Control
4.5 Passive Safety
4.5.1 Obstacle Avoidance with Nonlinear Optimization
4.5.2 Obstacle Avoidance with Linear Optimization
4.5.3 Obstacle Avoidance with Sequential Linear Programming
4.5.4 Passive Safety Constraint
4.6 Robust Rendezvous
4.6.1 Robustness Techniques Review
4.6.2 Feasible Terminal Box
4.6.3 Dynamic Terminal Box
4.6.4 Terminal Quadratic Controller
4.7 Tests and Results
4.7.1 Fixed Horizon Model Predictive Control
4.7.2 Variable Horizon Model Predictive Control
4.7.3 Passive Safety
4.7.4 Robustness Experiments
References
5 Conclusions and Future Work
5.1 Open Research Topics
References