Stabilization Control of Complex Dynamics of Light-Emitting Diode System Based on LaSalle Invariant Principle

Abstract

Light-emitting diodes with optoelectronic feedback loop display complex sequences of periodic mixed mode oscillations and chaotic spiking. In this paper, we propose an adaptive control scheme for the stabilization of this complex dynamics, which is based on LaSalle invariant principle. The controller can asymptotically stabilize unstable equilibrium points of dynamical systems without explicit knowledge of the desired steady-state position. The simulation results demonstrate the effectiveness of the proposed control scheme.