TY - JOUR
T1 - Homogeneity of neutral systems and accelerated stabilization of a double integrator by measurement of its position
AU - Efimov, Denis
AU - Fridman, Emilia
AU - Perruquetti, Wilfrid
AU - Richard, Jean Pierre
N1 - Publisher Copyright:
© 2020 Elsevier Ltd
PY - 2020/8
Y1 - 2020/8
N2 - A new theory of homogeneity for neutral type systems with application to fast stabilization of the 2nd-order integrator is proposed. It is assumed that only the position is available for measurements, and the designed feedback uses the output and its delayed values without an estimation of velocity. It is shown that by selecting the closed-loop system to be homogeneous with negative or positive degree, it is possible to accelerate the rate of convergence in the system at the price of a small steady-state error. Robustness of the developed stabilization strategy with respect to exogenous perturbations is investigated. The efficiency of the proposed control is demonstrated in simulations.
AB - A new theory of homogeneity for neutral type systems with application to fast stabilization of the 2nd-order integrator is proposed. It is assumed that only the position is available for measurements, and the designed feedback uses the output and its delayed values without an estimation of velocity. It is shown that by selecting the closed-loop system to be homogeneous with negative or positive degree, it is possible to accelerate the rate of convergence in the system at the price of a small steady-state error. Robustness of the developed stabilization strategy with respect to exogenous perturbations is investigated. The efficiency of the proposed control is demonstrated in simulations.
UR - http://www.scopus.com/inward/record.url?scp=85084613913&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2020.109023
DO - 10.1016/j.automatica.2020.109023
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AN - SCOPUS:85084613913
SN - 0005-1098
VL - 118
JO - Automatica
JF - Automatica
M1 - 109023
ER -