TY - JOUR
T1 - A Luenberger-Like Observer for Multistable Kapitaniak Chaotic System
AU - Perez-Cruz, J. Humberto
AU - Allende Pena, Jacobo Marcos
AU - Nwachioma, Christian
AU - Rubio, Jose De Jesus
AU - Pacheco, Jaime
AU - Meda-Campana, Jesus Alberto
AU - Avila-Gonzalez, David
AU - Guevara Galindo, Olivia
AU - Adrian Romero, Ignacio
AU - Belmonte Jimenez, Salvador Isidro
N1 - Publisher Copyright:
© 2020 J. Humberto Pérez-Cruz et al.
PY - 2020
Y1 - 2020
N2 - The objective of this paper is to estimate the unmeasurable variables of a multistable chaotic system using a Luenberger-like observer. First, the observability of the chaotic system is analyzed. Next, a Lipschitz constant is determined on the attractor of this system. Then, the methodology proposed by Raghavan and the result proposed by Thau are used to try to find an observer. Both attempts are unsuccessful. In spite of this, a Luenberger-like observer can still be used based on a proposed gain. The performance of this observer is tested by numerical simulation showing the convergence to zero of the estimation error. Finally, the chaotic system and its observer are implemented using 32-bit microcontrollers. The experimental results confirm good agreement between the responses of the implemented and simulated observers.
AB - The objective of this paper is to estimate the unmeasurable variables of a multistable chaotic system using a Luenberger-like observer. First, the observability of the chaotic system is analyzed. Next, a Lipschitz constant is determined on the attractor of this system. Then, the methodology proposed by Raghavan and the result proposed by Thau are used to try to find an observer. Both attempts are unsuccessful. In spite of this, a Luenberger-like observer can still be used based on a proposed gain. The performance of this observer is tested by numerical simulation showing the convergence to zero of the estimation error. Finally, the chaotic system and its observer are implemented using 32-bit microcontrollers. The experimental results confirm good agreement between the responses of the implemented and simulated observers.
UR - http://www.scopus.com/inward/record.url?scp=85089036829&partnerID=8YFLogxK
U2 - 10.1155/2020/9531431
DO - 10.1155/2020/9531431
M3 - Artículo
AN - SCOPUS:85089036829
SN - 1076-2787
VL - 2020
JO - Complexity
JF - Complexity
M1 - 9531431
ER -