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Time-synchronized control : analysis and design / by Dongyu Li, Shuzhi Sam Ge, Tong Heng Lee.

9811630895 (electronic book)
9789811630897 (electronic bk.)
9789811630880

Singapore : Springer, [2022]

©2022

English

1 online resource (xviii, 253 pages)

10.1007/978-981-16-3089-7 doi

TJ220.5 .L53 2022eb

629.8

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.

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