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Dongyu Li,Shuzhi Sam Ge,Tong Heng Lee

Time-Synchronized Control: Analysis and Design

Time-Synchronized Control: Analysis and Design

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  • More about Time-Synchronized Control: Analysis and Design


This book focuses on time-synchronized stability in fixed/finite-time sliding-mode control,which provides advantageous performance when a control system is expected to accomplish multiple actions synchronously. It presents sufficient conditions for (fixed-) time-synchronized stability and discusses the analytical solution of a (fixed) time-synchronized stable system. Applications to linear systems,disturbed nonlinear systems,and network systems are provided,and comparisons with traditional fixed/finite-time sliding mode control are detailed.

Format: Paperback / softback
Length: 253 pages
Publication date: 12 January 2023
Publisher: Springer Verlag, Singapore


Previous research on fixed/finite-time sliding-mode control has primarily focused on ensuring that a system state (vector) converges within a specific time moment, regardless of the individual convergence rates of its state elements. This book introduces a novel control problem that involves unique finite/fixed-time stability considerations, namely time-synchronized stability, where all the system state elements converge to the origin, and fixed-time-synchronized stability, where the upper bound of the synchronized settling time remains invariant regardless of the initial state. Consequently, sufficient conditions for (fixed-) time-synchronized stability are presented. These stability formulations offer significant advantages when a control system (with diverse subsystems) is designed to perform multiple actions synchronously, such as grasping with a robotic hand, multi-agent simultaneous cooperation, and more. Furthermore, the analytical solution of a (fixed) time-synchronized stable system is derived and discussed. Applications to linear systems, disturbed nonlinear systems, and network systems are provided, along with detailed comparisons with traditional fixed/finite-time sliding mode control to showcase the full potential of (fixed-) time-synchronized control.

Weight: 421g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811630910
Edition number: 1st ed. 2022

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