TY - GEN
T1 - Non-Lyapunov homogeneous SISO control design
AU - Levant, Arie
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/6/28
Y1 - 2017/6/28
N2 - A simple method of single-input-single-output (SISO) homogeneous control design is proposed which does not employ Lyapunov technique and allows immediate easy construction of infinitely many homogeneous control forms for all relative and homogeneity degrees (HDs). In accordance with the HD the controllers feature finite-time or asymptotic stability, and fixed-time convergence to any vicinity of zero for positive HDs. Many known homogeneous sliding-mode controllers and finite-time stabilizers are obtained as particular cases. Computer simulation illustrates the theoretical results.
AB - A simple method of single-input-single-output (SISO) homogeneous control design is proposed which does not employ Lyapunov technique and allows immediate easy construction of infinitely many homogeneous control forms for all relative and homogeneity degrees (HDs). In accordance with the HD the controllers feature finite-time or asymptotic stability, and fixed-time convergence to any vicinity of zero for positive HDs. Many known homogeneous sliding-mode controllers and finite-time stabilizers are obtained as particular cases. Computer simulation illustrates the theoretical results.
UR - https://www.scopus.com/pages/publications/85046149203
U2 - 10.1109/CDC.2017.8264661
DO - 10.1109/CDC.2017.8264661
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AN - SCOPUS:85046149203
T3 - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
SP - 6652
EP - 6657
BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 56th IEEE Annual Conference on Decision and Control, CDC 2017
Y2 - 12 December 2017 through 15 December 2017
ER -