ISBN:
9789811630897
Language:
English
Pages:
1 Online-Ressource(XVIII, 253 p. 79 illus., 74 illus. in color.)
Edition:
1st ed. 2022.
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Keywords:
Control engineering.
;
Robotics.
;
Automation.
;
Engineering mathematics.
Abstract:
Introduction -- Time-Synchronized and Fixed-Time-Synchronized Stability -- Time-Synchronized Control for Affine Systems -- Time-Synchronized Control for Disturbed Systems -- Fixed-Time-Synchronized Control for Affine Systems with Singularity Avoidance -- Fixed-Time-Synchronized Control for Disturbed Systems with Singularity Avoidance -- Fixed-Time-Synchronized Control with the Least Upper Bound of Synchronized Settling time -- Time-Synchronized and Fixed-Time Synchronized Consensus of Network Systems -- Time-Synchronized and Fixed-Time Synchronized Robotic Grasping Control.
Abstract:
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.
DOI:
10.1007/978-981-16-3089-7
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