Stabilizing and destabilizing control for a piecewise-linear circuit

Abstract

This paper considers a basic approach to generalize techniques of controlling chaos. First, we propose a novel manifold piecewise-linear (MPL) system as a control object. The novel MPL can generate both chaotic attractors and periodic attractors. Second, we propose a novel occasional proportional feedback (OPF) method and apply it to the MPL. The OPF can change the form of the return map of the MPL-it can change chaos into a periodic attractor and change a periodic attractor into chaos. The OPF functions can be guaranteed theoretically. Third, we propose an implementation example of the OPF and confirm its function in the laboratory.