Sliding mode control for a class of chaotic systems

Abstract

Abstract This paper proposes a bang-bang type sliding mode control technique to stabilize a class of chaotic systems whose nonlinearity vanishes on a sliding surface. The technique can be realized with practical relay devices, since it takes only two-level control signals. Furthermore, we show that the control system is robust to the model uncertainties. To check the theoretical results, we try to stabilize the Lorentz system on numerical simulations.