TY - JOUR
T1 - On the output regulation problem
T2 - The generalized second-order underactuated linear system case
AU - Aguilar-Ibanez, Carlos
AU - Meda-Campana, Jesus A.
AU - Suarez-Castanon, Miguel S.
AU - De Jesus Rubio, Jose
AU - Cruz-Cortes, Nareli
N1 - Publisher Copyright:
© 2018 Carlos Aguilar-Ibanez et al.
PY - 2018
Y1 - 2018
N2 - In this work, we aimed to solve the control regulation problem for a generalized second-order underactuated linear system in order to induce a periodic or chaotic behavior or to cancel the external perturbations, generated by an exogenous system, in the nonactuated coordinate. Further, we showed that, in some cases, it is possible to bring to zero the regulation output errors of the underactuated linear plant, depending on the structure of the plant itself and the exogenous system. In the first stage, the solution was developed for the ideal scenario, in which the whole states of the plant and of the exogenous system were available. Secondly, we showed that in some cases it was possible to solve the regulation output problem when only the observable plant output was measurable. That is, the whole plant state and the exogenous signal could be recovered, if some assumptions were fulfilled. The Lyapunov method was used to perform the stability analysis.The proposed solution was assessed through numerical simulations.
AB - In this work, we aimed to solve the control regulation problem for a generalized second-order underactuated linear system in order to induce a periodic or chaotic behavior or to cancel the external perturbations, generated by an exogenous system, in the nonactuated coordinate. Further, we showed that, in some cases, it is possible to bring to zero the regulation output errors of the underactuated linear plant, depending on the structure of the plant itself and the exogenous system. In the first stage, the solution was developed for the ideal scenario, in which the whole states of the plant and of the exogenous system were available. Secondly, we showed that in some cases it was possible to solve the regulation output problem when only the observable plant output was measurable. That is, the whole plant state and the exogenous signal could be recovered, if some assumptions were fulfilled. The Lyapunov method was used to perform the stability analysis.The proposed solution was assessed through numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=85062453409&partnerID=8YFLogxK
U2 - 10.1155/2018/3820935
DO - 10.1155/2018/3820935
M3 - Artículo
AN - SCOPUS:85062453409
SN - 1024-123X
VL - 2018
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 3820935
ER -