Generation of autonomous oscillations via output feedback

摘要

In this paper, a newly developed method for generating oscillations in arbitrary order nonlinear systems, is redefined as an output feedback controller. In a recent publication, the state feedback orbitally stabilizing controller has been enhanced to provide strict Lyapunov functions for the oscillating behavior. This property is exploited here in order to prove global asymptotic stability of the output feedback controller in systems up to degree four, and global asymptotic stability with limited initial estimation error in higher–order systems. The output feedback controller is then applied to a fourth–order cascade LC network, while the result may be extrapolated to similar circuits with arbitrary number of LC blocks, which may be regarded as discrete approximations of transmission lines.