Exponentially Stabilizing Division Controllers for Dyadic Bilinear Systems
Resource
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 1, 106-110
Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Journal Volume
VOL. 48
Journal Issue
NO. 1
Pages
106-110
Date Issued
2003-01
Date
2003-01
Author(s)
Chen, Min-Shin
Hwang, Yean-Ren
Kuo, Yu-Jeng
DOI
246246/200611150121904
Abstract
It is difficult to asymptotically stabilize a dyadic bilinear system with only multiplicative control inputs when the open-loop dynamics are unstable. The previous approach of cascading a division controller with a constant-size dead zone can only stabilize but not asymptotically stabilize the system. This note proposes a new control design which cascades a division controller with a modified dead zone
whose size is proportional to the modulus of the system state. It is shown that this new division controller can globally and exponentially stabilize any open-loop unstable dyadic bilinear system as long as it is controllable.
Subjects
Asymptotic stability
dead zone
division controller
dyadic bilinear system
exponential stability
Publisher
Taipei:National Taiwan University Dept Mech Engn
Type
journal article
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