Title :
Dynamics of adaptive systems
Author :
Huberman, D.A. ; Lumer, E.
Author_Institution :
Xerox Palo Alto Res. Center, CA, USA
fDate :
4/1/1990 12:00:00 AM
Abstract :
A simple adaptive control mechanism is introduced into nonlinear systems that are capable of complicated oscillatory states and chaotic dynamics. It is shown that it provides efficient regulation while displaying novel behavior. Sudden perturbations in the system´s parameters can degenerate into chaotic bursts with no precursors. When such bursts occur, the system first reverberates wildly and then recovers in times that are inversely proportional to the stiffness of the control. Also exhibited is a general control principle which provides a quantitative relation between the maximum amplitude of a perturbation from which a system can recover, and the speed at which it does so
Keywords :
adaptive control; adaptive systems; feedback; nonlinear systems; adaptive control mechanism; chaotic dynamics; complicated oscillatory states; control stiffness; maximum amplitude; nonlinear systems; perturbation; regulation; system recovery; Adaptive control; Adaptive systems; Chaos; Collaboration; Context modeling; Control systems; Error correction; Output feedback; Predictive models; Proportional control;
Journal_Title :
Circuits and Systems, IEEE Transactions on
