This book analyzes the problems to be solved urgently in the development of launch vehicle control system. The techniques of redundant Inertial Measurement Unit (IMU) reconfiguration and trajectory replanning are proposed aiming at the inertial device failures and power system failures during flight of launch vehicles, respectively. It introduces the background of redundant IMU reconfiguration and trajectory replanning technologies and models of launch vehicle dynamics and redundant strap-down IMUs. The approaches for redundant strap-down IMU fault detection, reconfiguration and trajectory replanning are proposed, putting forward a prospect for the development of launch vehicle control system. The content of this book is concise and highly pragmatic. It could serve as a reference for engineers and researchers engaged in the analysis, design and verification of launch vehicle control systems and also as a reference for graduate students and senior undergraduates majoring in navigation, guidance and control.
Author(s): Xuefeng Li, Fan Xu, Guoqiang Xu
Series: Navigation: Science and Technology, 12
Publisher: Springer
Year: 2022
Language: English
Pages: 195
City: Singapore
Foreword
Preface
Contents
1 Introduction
1.1 Redundant Reconfiguration After IMU Failure
1.2 Trajectory Re-planning After Propulsion System Failure
2 Model of Launch Vehicle Dynamics and Redundant Strapdown IMUs
2.1 Dynamics Model
2.1.1 Coordinate System
2.1.2 Mechanics Model
2.1.3 Centroid Dynamics and Kinematics Equations
2.1.4 Description of Orbit
2.1.5 Characteristic Orbit Parameters
2.2 Redundant Strapdown IMUs Modeling and Analysis
2.2.1 Model of Redundant Gyro Error
2.2.2 Model of Redundant Accelerometer Error
2.2.3 Model of Reconfiguration Parameters
3 Optimal Control Problems and Common Solutions
3.1 Optimal Control Model
3.1.1 Optimal Control Problem
3.1.2 Solution to Optimal Control Problem
3.2 Nonlinear Programming (NLP) Model
3.2.1 Unconstrained Optimization Problems
3.2.2 Constrained Optimization Problem
3.3 Convex Optimization Problem
3.3.1 Dual Theory of Convex Optimization
3.3.2 Optimality Condition
3.4 Nonlinear Programming Algorithms
3.4.1 SQP Algorithm
3.4.2 Interior-Point Method
3.4.3 Solving Problems
3.5 Convex Optimization Algorithms
3.6 Summary
4 Redundant IMU Fault Detection
4.1 Scheme of Redundant IMU Configuration
4.1.1 Index of Redundant Configuration
4.1.2 Analysis of Redundant Configuration Architecture
4.2 Diagnosis for Redundant Configuration
4.2.1 Vote Method
4.2.2 Parity Vector Method
4.3 Summary
5 Redundant IMU Reconfiguration
5.1 Typical Parity Check Method
5.2 Single-Set Multi-meter Crossover Reconfiguration
5.3 Reconfiguration Strategy of Engineering Application
5.3.1 Triple Redundancy Reconfiguration Strategy
5.3.2 Single-Set Five-Gyro Five-Accelerometer Reconfiguration Strategy
5.4 Summary
6 Trajectory Re-planning
6.1 Theoretical Analysis of Mission Partitions
6.1.1 Estimation of Apogee Altitude and Orbit Inclination
6.1.2 Adaptive Orbit Entry Conditions
6.1.3 Re-planning Orbit Entry Conditions
6.1.4 Downgrade Mission Orbit Entry Conditions
6.1.5 Design of Mission Partitions
6.2 Off-Line Trajectory Planning
6.2.1 Off-Line Planning and Design
6.2.2 Adaptive Pseudospectral Method (PSM)
6.2.3 Solution to Off-Line Planning Problems
6.2.4 Planned Trajectory Interpolation
6.2.5 Simulation Analysis
6.3 On-Line Trajectory Planning
6.3.1 On-Line Planning and Design
6.3.2 Concept of Convex Optimization Problem
6.3.3 Variable Substitution and Relaxation
6.3.4 Conversion of Convex Optimization Problem
6.3.5 On-Line Planning Problem Solving
6.3.6 Simulation Analysis
6.4 Summary
7 Multistage Rocket Trajectory Re-planning
7.1 Rocket Trajectory Planning
7.2 Simulation of Stage-I Operation Propulsion System Failure
7.2.1 Re-planning Orbit Entry Design (Enter Partition B: I-B After Failure at Stage-I)
7.2.2 Re-planning Downgrade Design (Enter Partition C: I-C After Failure at Stage-I)
7.3 Simulation of Propulsion System Failure During Stage-II Operation
7.3.1 Re-planning Orbit Entry Design (Enter Partition B: II-B After Failure at Stage-II)
7.3.2 Re-planning Downgrade Design (Enter Partition C: II-C After Failure at Stage-II)
7.4 Summary
Postscript
Bibliography
