TY - JOUR
T1 - Reconstructing the states and parameters of Chua's system based on successive integrations of the output
AU - Suarez-Castañon, Miguel S.
AU - Aguilar-Ibáñez, Carlos
AU - Flores-Ando, Fortunato
N1 - Funding Information:
This research was supported by CIC-IPN, and by the Coordinación de Posgrado e Investigación (CGPI del IPN), under Research Grant 20020247. Miguel S. Suarez-Castañon is a scholarship holder of the CONACYT, and he wants to thank for this support. The authors want to thank Dr. Humberto Sossa-Azuela.
PY - 2003/10/20
Y1 - 2003/10/20
N2 - In this Letter we describe an efficient method to reveal some parameters and states of Chua's system by means of the knowledge of a well-chosen (measurable variable) output. First, it is shown that the system is constructible. This, allows us to obtain an integral output parametrization of the remaining states. Based on this integral parametrization we construct an iterative integral equation of the output. The parameter reconstruction process is accomplished in a very short time, depending on the system's order and the sampling time. Besides, only one output is needed and no input is required. A numerical implementation of the method can be easily achieved employing electronic integrators, avoiding the calculations of the derivatives.
AB - In this Letter we describe an efficient method to reveal some parameters and states of Chua's system by means of the knowledge of a well-chosen (measurable variable) output. First, it is shown that the system is constructible. This, allows us to obtain an integral output parametrization of the remaining states. Based on this integral parametrization we construct an iterative integral equation of the output. The parameter reconstruction process is accomplished in a very short time, depending on the system's order and the sampling time. Besides, only one output is needed and no input is required. A numerical implementation of the method can be easily achieved employing electronic integrators, avoiding the calculations of the derivatives.
KW - Chaos
KW - Parameter identification
KW - State reconstruction
UR - http://www.scopus.com/inward/record.url?scp=0142027879&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2003.08.039
DO - 10.1016/j.physleta.2003.08.039
M3 - Artículo
SN - 0375-9601
VL - 317
SP - 265
EP - 274
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3-4
ER -