TY - JOUR
T1 - The Output Regulation Problem for Unmodeled Reference/Disturbance Signals Using High-gain Observers
AU - Meda-Campaña, Jesús Alberto
AU - Ancona-Bravo, Ricardo Ismael
AU - Escobedo-Alva, Jonathan Omega
AU - Hernández-Cortés, Tonatiuh
AU - Tapia-Herrera, Ricardo
N1 - Publisher Copyright:
© 2023, ICROS, KIEE and Springer.
PY - 2023/4
Y1 - 2023/4
N2 - Based on the regulation theory and high-gain observers, in this paper, a controller for tracking and/or rejecting unmodeled but measurable signals is designed. Considering that the measurable reference/disturbance signals are bounded and smooth, it is proven that the missing dynamical models for such signals can be estimated by high-gain observers of dimensions equal to or greater than one. Then, the corresponding high-gain observers are embedded into an auxiliary system, known as the exosystem, allowing in this way, that the regulation theory can be applied and the new equations to be solved are also given. Because the exosystem is directly constructed from the high-gain observers, the proposed controller is robust in the sense that it is capable of tracking/rejecting any bounded and smooth signal as long as the estimations of the high-gain observers are sufficiently accurate. The existence conditions for such a controller are given, and numerical experiments are used to illustrate the efficacy of the proposed approach.
AB - Based on the regulation theory and high-gain observers, in this paper, a controller for tracking and/or rejecting unmodeled but measurable signals is designed. Considering that the measurable reference/disturbance signals are bounded and smooth, it is proven that the missing dynamical models for such signals can be estimated by high-gain observers of dimensions equal to or greater than one. Then, the corresponding high-gain observers are embedded into an auxiliary system, known as the exosystem, allowing in this way, that the regulation theory can be applied and the new equations to be solved are also given. Because the exosystem is directly constructed from the high-gain observers, the proposed controller is robust in the sense that it is capable of tracking/rejecting any bounded and smooth signal as long as the estimations of the high-gain observers are sufficiently accurate. The existence conditions for such a controller are given, and numerical experiments are used to illustrate the efficacy of the proposed approach.
KW - High-gain observers
KW - regulation theory
KW - tracking
KW - unmodeled signals
UR - http://www.scopus.com/inward/record.url?scp=85150011947&partnerID=8YFLogxK
U2 - 10.1007/s12555-021-0766-9
DO - 10.1007/s12555-021-0766-9
M3 - Artículo
AN - SCOPUS:85150011947
SN - 1598-6446
VL - 21
SP - 1049
EP - 1061
JO - International Journal of Control, Automation and Systems
JF - International Journal of Control, Automation and Systems
IS - 4
ER -