TY - JOUR
T1 - Flatness-based linear output feedback control for disturbance rejection and tracking tasks on a Chua's circuit
AU - Sira-Ramírez, H.
AU - Luviano-Juárez, A.
AU - Cortés-Romero, J.
N1 - Funding Information:
This work was supported by SIP-IPN CINVESTAV-IPN México.
PY - 2012/5/1
Y1 - 2012/5/1
N2 - A linear output feedback controller is developed for trajectory tracking problems defined on a modified version of Chua's circuit. The circuit modification considers the introduction of a flat input, i.e. a suitable external control input channel guided by (a) the induction of the flatness property on a measurable output signal of the circuit and (b) the physical viability of the control input. A linear active disturbance rejection control based on a high-gain linear disturbance observer, is implemented on a laboratory prototype. We show that the state-dependent disturbance can be approximately, but arbitrarily closely, estimated through a linear high-gain observer, called a generalised proportional integral (GPI) observer, which contains a linear combination of a sufficient number of extra iterated integrals of the output estimation error. Experimental results are presented in the output reference trajectory tracking of a signal generated by an unrelated chaotic system of the Lorenz type. Laboratory experiments illustrate the proposed linear methodology for effectively controlling chaos.
AB - A linear output feedback controller is developed for trajectory tracking problems defined on a modified version of Chua's circuit. The circuit modification considers the introduction of a flat input, i.e. a suitable external control input channel guided by (a) the induction of the flatness property on a measurable output signal of the circuit and (b) the physical viability of the control input. A linear active disturbance rejection control based on a high-gain linear disturbance observer, is implemented on a laboratory prototype. We show that the state-dependent disturbance can be approximately, but arbitrarily closely, estimated through a linear high-gain observer, called a generalised proportional integral (GPI) observer, which contains a linear combination of a sufficient number of extra iterated integrals of the output estimation error. Experimental results are presented in the output reference trajectory tracking of a signal generated by an unrelated chaotic system of the Lorenz type. Laboratory experiments illustrate the proposed linear methodology for effectively controlling chaos.
KW - Chua's circuit
KW - linear control of chaotic systems
KW - observers
UR - http://www.scopus.com/inward/record.url?scp=84860463194&partnerID=8YFLogxK
U2 - 10.1080/00207179.2012.660196
DO - 10.1080/00207179.2012.660196
M3 - Artículo
SN - 0020-7179
VL - 85
SP - 594
EP - 602
JO - International Journal of Control
JF - International Journal of Control
IS - 5
ER -