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Time-Synchronized Control : Analysis and Design - Dongyu Li

Time-Synchronized Control

Analysis and Design

By: Dongyu Li, Tong Heng Lee, Shuzhi Sam Ge

Hardcover | 11 January 2022

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Previous research on fixed/finite-time sliding-mode control focuses on forcing a system state (vector) to converge within a certain time moment, regardless of how each state element converges. This book introduces a control problem with unique finite/fixed-time stability considerations, namely time-synchronized stability, where at the same time, all the system state elements converge to the origin, and fixed-time-synchronized stability, where the upper bound of the synchronized settling time is invariant with any initial state. Accordingly, sufficient conditions for (fixed-) time-synchronized stability are presented. These stability formulations grant essentially advantageous performance when a control system (with diversified subsystems) is expected to accomplish multiple actions synchronously, e.g., grasping with a robotic hand, multi-agent simultaneous cooperation, etc. Further, the analytical solution of a (fixed) time-synchronized stable system is obtained and discussed. Applications to linear systems, disturbed nonlinear systems, and network systems are provided. In addition, comparisons with traditional fixed/finite-time sliding mode control are suitably detailed to showcase the full power of (fixed-) time-synchronized control.
Industry Reviews
"By combining finite time control and sliding mode control with time-synchronized control, the book develops a new 'time-synchronized stability' definition. This work is helpful for theoretical researchers, engineers, and students who dedicate themselves to creating the best control system design in practice yet with sound theoretical knowledge. ... These unique natures and properties make time-synchronized control highly attractive ... ." (Dongya Zhao, Mathematical Reviews, January, 2023)
"This book includes some of the authors' previous works that are published in some top journals. It can be served as a good textbook for researchers, engineers and graduates who dedicate themselves for the best control system design in practice." (Peijun Wang, zbMATH 1493.93001, 2022)

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