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Table of Contents
Intro
Preface
Acknowledgements
Contents
About the Authors
Part I Advanced Trajectory Optimization Methods
1 Review of Advanced Trajectory Optimization Methods
1.1 Introduction
1.2 Mathematical Formulation of the Problem
1.2.1 Continuous Dynamical Systems
1.2.2 Variable/Path Constraints
1.2.3 Mission Objectives
1.2.4 Overall Formulation
1.2.5 Numerical Solution Approach
1.3 Optimization Algorithms
1.3.1 Gradient-Based Methods
1.3.2 Evolutionary-Based Methods
1.3.3 Convexification-Based Methods
1.3.4 Dynamic Programming-Based Methods
1.4 Multi-objective Spacecraft Trajectory Optimization
1.4.1 Multi-objective Evolutionary Algorithms
1.4.2 Multi-objective Transcription Methods
1.5 Stochastic Spacecraft Trajectory Optimization
1.5.1 Chance-Constrained Spacecraft Trajectory Optimization
1.5.2 Chance-Constrained Spacecraft Trajectory Optimization: Stochastic Dynamics
1.6 Recent Practical Applications of the Optimized Trajectory
1.6.1 Design of Integrated Spacecraft Guidance and Control Systems
1.6.2 Design of Spacecraft/Satellite Formation Control Schemes
1.6.3 Database-Based Online Guidance Strategy
2.4.2 Performance of Different Methods
2.4.3 Convergence Analysis for Evolutionary Methods
2.4.4 Computational Performance of Different Methods
2.4.5 Impact of the Bias Selection Strategy and Local Exploitation Process
2.4.6 Impact of the Restart Strategy
2.5 Conclusion
References
3 Highly Fidelity Trajectory Optimization
3.1 Introduction
3.2 Time-Optimal Reconnaissance Maneuver Optimization Problem
3.2.1 Model Dynamics
3.2.2 Flight Constraints and Objective
3.2.3 Overall Trajectory Optimization Formulation
3.3 Solution Method
3.3.1 Radau Pseudospectral Method
3.3.2 A Pipelined Optimization Strategy
3.4 Simulation Results
3.4.1 Simulation Setting
3.4.2 Optimized Results of Using Different Models
3.4.3 Results with and Without Mesh Adaptive Process
3.4.4 Comparative Results and Analysis
3.4.5 Case Studies with Noise-Perturbed Initial Conditions
3.5 Conclusions
References
4 Fast Trajectory Optimization with Chance Constraints
4.1 Introduction
4.2 Atmospheric Entry Optimal Control Problem
4.2.1 Hypersonic Vehicle Dynamics and Constraints
Preface
Acknowledgements
Contents
About the Authors
Part I Advanced Trajectory Optimization Methods
1 Review of Advanced Trajectory Optimization Methods
1.1 Introduction
1.2 Mathematical Formulation of the Problem
1.2.1 Continuous Dynamical Systems
1.2.2 Variable/Path Constraints
1.2.3 Mission Objectives
1.2.4 Overall Formulation
1.2.5 Numerical Solution Approach
1.3 Optimization Algorithms
1.3.1 Gradient-Based Methods
1.3.2 Evolutionary-Based Methods
1.3.3 Convexification-Based Methods
1.3.4 Dynamic Programming-Based Methods
1.4 Multi-objective Spacecraft Trajectory Optimization
1.4.1 Multi-objective Evolutionary Algorithms
1.4.2 Multi-objective Transcription Methods
1.5 Stochastic Spacecraft Trajectory Optimization
1.5.1 Chance-Constrained Spacecraft Trajectory Optimization
1.5.2 Chance-Constrained Spacecraft Trajectory Optimization: Stochastic Dynamics
1.6 Recent Practical Applications of the Optimized Trajectory
1.6.1 Design of Integrated Spacecraft Guidance and Control Systems
1.6.2 Design of Spacecraft/Satellite Formation Control Schemes
1.6.3 Database-Based Online Guidance Strategy
2.4.2 Performance of Different Methods
2.4.3 Convergence Analysis for Evolutionary Methods
2.4.4 Computational Performance of Different Methods
2.4.5 Impact of the Bias Selection Strategy and Local Exploitation Process
2.4.6 Impact of the Restart Strategy
2.5 Conclusion
References
3 Highly Fidelity Trajectory Optimization
3.1 Introduction
3.2 Time-Optimal Reconnaissance Maneuver Optimization Problem
3.2.1 Model Dynamics
3.2.2 Flight Constraints and Objective
3.2.3 Overall Trajectory Optimization Formulation
3.3 Solution Method
3.3.1 Radau Pseudospectral Method
3.3.2 A Pipelined Optimization Strategy
3.4 Simulation Results
3.4.1 Simulation Setting
3.4.2 Optimized Results of Using Different Models
3.4.3 Results with and Without Mesh Adaptive Process
3.4.4 Comparative Results and Analysis
3.4.5 Case Studies with Noise-Perturbed Initial Conditions
3.5 Conclusions
References
4 Fast Trajectory Optimization with Chance Constraints
4.1 Introduction
4.2 Atmospheric Entry Optimal Control Problem
4.2.1 Hypersonic Vehicle Dynamics and Constraints