Adaptive tuning to bifurcation for time-varying nonlinear systems

Authors:
D. V. Efimov;A. L. Fradkov
Affiliations:
Control of Complex Systems Laboratory, Institute of Problem of Mechanical Engineering, Bolshoi Avenue 61, V.O., St. Petersburg 199178, Russian Federation;Control of Complex Systems Laboratory, Institute of Problem of Mechanical Engineering, Bolshoi Avenue 61, V.O., St. Petersburg 199178, Russian Federation
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

Adaptive output feedback control algorithm providing exact tuning of adjustable parameters to unknown values which ensure desired bifurcation properties of the system is proposed. Design of the algorithm is based on passification and adaptive observer. Application examples like neural integrator, resonant pendulum and three dimensional oscillator, are presented and illustrated by simulation results.