TY - JOUR
T1 - Output-feedback finite-time stabilization of disturbed LTI systems
AU - Angulo, Marco Tulio
AU - Fridman, Leonid
AU - Levant, Arie
N1 - Funding Information:
The authors gratefully acknowledge the financial support from projects PAPIIT 17211, CONACyT 56819, 132125 and CVU 229959, FONCICyT 93302.
PY - 2012/4
Y1 - 2012/4
N2 - Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.
AB - Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time.
KW - Dynamic output feedback
KW - Finite-time stability
KW - Sliding-mode control
UR - http://www.scopus.com/inward/record.url?scp=84858157799&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2012.01.003
DO - 10.1016/j.automatica.2012.01.003
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AN - SCOPUS:84858157799
SN - 0005-1098
VL - 48
SP - 606
EP - 611
JO - Automatica
JF - Automatica
IS - 4
ER -