TY - JOUR
T1 - Parametric uncertain second-order linear system output-adaptive stabilization
T2 - An integral and MRCA based approach
AU - Aguilar-Ibanez, Carlos
AU - Saldivar, Belem
AU - Lizarraga, Manuel Jimenez
AU - Garcia-Canseco, Eloisa
AU - Garrido, Ruben
N1 - Publisher Copyright:
© 2020 European Control Association
PY - 2021/1
Y1 - 2021/1
N2 - This work proposes a solution for the adaptive stabilization of second-order linear systems with unknown parameters using only position measurements. Only the sign of the control law is known and the system is affected by constant perturbations. The crux of the proposed control scheme the use of an alternative representation of the system obtained through integrating over time the original system representation. In this way, the whole state of the alternative representation is available from measurements, and an extended state space representation is obtained through the alternative representation and the differential equation related to the integral over time of the original input. Later, an Adaptive Control methodology and an backstepping procedure are used to establish closed-loop stability. Simulation results support the findings.
AB - This work proposes a solution for the adaptive stabilization of second-order linear systems with unknown parameters using only position measurements. Only the sign of the control law is known and the system is affected by constant perturbations. The crux of the proposed control scheme the use of an alternative representation of the system obtained through integrating over time the original system representation. In this way, the whole state of the alternative representation is available from measurements, and an extended state space representation is obtained through the alternative representation and the differential equation related to the integral over time of the original input. Later, an Adaptive Control methodology and an backstepping procedure are used to establish closed-loop stability. Simulation results support the findings.
KW - Barbalat's Lemma
KW - Lyapunov Method
KW - Model reference adaptive control
KW - Output feedback
KW - Parametric uncertainty
KW - Second order systems
UR - http://www.scopus.com/inward/record.url?scp=85086445193&partnerID=8YFLogxK
U2 - 10.1016/j.ejcon.2020.04.002
DO - 10.1016/j.ejcon.2020.04.002
M3 - Artículo
AN - SCOPUS:85086445193
SN - 0947-3580
VL - 57
SP - 76
EP - 81
JO - European Journal of Control
JF - European Journal of Control
ER -