Time-Synchronized Control: Analysis and Design: Coordination of Time and State

Preface
	Budding and Genesis
Acknowledgments
Contents
Acronyms and Notation
	Acronyms
	Notation
1 Introduction
	1.1 Finite-Time Control
	1.2 Time-Synchronized Control
	1.3 Why Time-Synchronized Control
	References
2 Time-Synchronized Stability
	2.1 Properties of Sign Functions
	2.2 Useful Stability Theorems and Formula
	2.3 Time-Synchronized Stability
	2.4 Fixed-Time-Synchronized Stability
	2.5 Predefined-Time-Synchronized Stability
	2.6 Summary
	References
3 Time-Synchronized Sliding Modes
	3.1 Quasi-Continuous Time-Synchronized Control Design
	3.2 Continuous Time-Synchronized Control Design
	3.3 Time-Synchronized Sliding-Mode Design
	3.4 Summary
	References
4 Time-Synchronized Control for Disturbed Systems
	4.1 Time-Synchronized Control Design for Disturbed Systems
		4.1.1 Problem Formulation
		4.1.2 Control Design
		4.1.3 An Extension to Euler-Lagrange Systems
		4.1.4 Numerical Results
	4.2 Time-Synchronized Control for General MIMO Systems under Matched and Unmatched Disturbances
		4.2.1 Time-Synchronized Control for Input-Dimension-Dominant MIMO Systems
		4.2.2 Semi-time-Synchronized Control for State-Dimension-Dominant MIMO Systems
	4.3 Summary
	References
5 Fixed-Time-Synchronized Control  with Singularity Avoidance
	5.1 Fixed-Time-Synchronized Control for Affine Systems with Singularity Avoidance
		5.1.1 Control Design for First-Order Systems
		5.1.2 Control Design for Second-Order Systems
		5.1.3 Numerical Results
	5.2 Fixed-Time-Synchronized Control for General …
		5.2.1 Fixed-Time-Synchronized Control for Input-Dimension-Dominant MIMO Systems
		5.2.2 Semi-fixed-Time-Synchronized Control for State-Dimension-Dominant MIMO Systems
	5.3 Summary
	References
6 Fixed-Time-Synchronized Control  with Settling Time Estimation
	6.1 Technical Preliminaries
	6.2 Fixed-Time-Synchronized Stability with the Least …
	6.3 Fixed-Time-Synchronized Control for Second-Order …
		6.3.1 Robust Fixed-Time-Synchronized Control Design
		6.3.2 Numerical Results
	6.4 Fixed-Time-Synchronized Control for General …
		6.4.1 Control Design for Input-Dimension-Dominant MIMO Systems
		6.4.2 Control Design for State-Dimension-Dominant MIMO Systems
	6.5 An Extension to Predefined-Time-Synchronized Control
	6.6 Strong Predefined-Time-Synchronized Control
	6.7 True Predefined-Time-Synchronized Control
	6.8 Summary
	References
7 Time-Synchronized Consensus  of Network Systems
	7.1 Problem Formulations
	7.2 Time-Synchronized Consensus Control
	7.3 Fixed-Time-Synchronized Consensus Control
	7.4 Fixed-Time-Synchronized Consensus Under Directed Graph
	7.5 Time-Synchronized Distributed Observers
	7.6 Summary
	References
8 Time-Synchronized Spacecraft Control in Rendezvous and Docking
	8.1 Problem Formulations
		8.1.1 Relative Attitude Error Dynamics and Kinematics Model
		8.1.2 Relative Orbit Error Dynamics and Kinematics Model
		8.1.3 6-DOF Coupling Spacecraft Error Model and Control Objectives
	8.2 Control Design
		8.2.1 Time-Synchronized Control Design for Spacecraft
		8.2.2 Fixed-Time-Synchronized Control Design  for Spacecraft
		8.2.3 (Fixed-) Time-Synchronized Control Design for 6-DOF Spacecraft
	8.3 Simulation Analysis
		8.3.1 Simulation Parameters
		8.3.2 Performance and Comparison of Controllers
		8.3.3 Hardware-in-Loop Experiment Results
	8.4 Conclusion
	References
9 Practical Time-Synchronized Attitude Control for Disturbed Spacecraft
	9.1 Discussion on the Direction of the Control Input
	9.2 Problem Formulations
	9.3 Practical Time-Synchronized Stability and Command Filter
		9.3.1 Ratio Persistence and Ratio Restriction
		9.3.2 Practical Time-Synchronized Stability
		9.3.3 Command Filter Technique
	9.4 Controller Design
		9.4.1 Command-Filter-Based Practical Time-Synchronized Control for Spacecraft
		9.4.2 Improved Command-Filter-Based Practical Time-Synchronized Control for Spacecraft
	9.5 Simulation Analysis
		9.5.1 Simulation Parameters
		9.5.2 Performance and Comparison of Controllers
	9.6 Conclusion
	References
10 Conclusions