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Title: Hybrid feedback for global asymptotic stabilization on a compact manifold
In this paper, we employ a hybrid feedback control strategy to globally asymptotically stabilize a setpoint on a smooth compact manifold without boundary satisfying the following: there exists a finite maximal atlas such that the desired setpoint belongs to each chart of the atlas. The proposed hybrid controller includes a proportional-derivative (PD) action during flows and, at jumps, uses hysteresis to switch between local coordinate charts to stabilize the desired setpoint robustly with respect to exogenous disturbances. We show that the proposed controller can be used for attitude stabilization of a rigid body and we illustrate the behavior of the closed-loop system via simulation results.  more » « less
Award ID(s):
1710621
PAR ID:
10066594
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Proceedings of 2017 IEEE 56th Annual Conference on Decision and Control (CDC 2017)
Page Range / eLocation ID:
2384 to 2389
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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