Chaos suppression control of horizontal platform system with parametric uncertainties

This paper studies a robust chaos suppression control of non-autonomous chaotic systems. In the control scheme, a sliding mode controller (SMC) is used to suppress the chaotic horizontal platform (HPS) system excited by harmonic external forces, between which there exists parametric uncertainties. Based on Lyapunov stability theorem, control laws are derived. It is guaranteed that under the proposed control law, uncertain horizontal platform chaotic systems can be stabilized to a steady state as well as asymptotically tracking of any desired trajectory. Numerical simulations are shown to verify the results and this control law can be applied to another chaotic system by the same design scheme.