Robust control of coupled Hamiltonian system based on sliding mode

The problem of robust control for a class of coupled Hamiltonian systems is studied. Firstly, the complex dynamic behavior of the system under certain parameter conditions is verified by drawing the chaotic attractor diagram, Lyapunov exponent diagram and bifurcation diagram when parameter changes. Secondly, two different sliding mode control methods and high gain robust control method are used to design different controllers to control the chaotic system. Finally, the effectiveness of the designed controller is verified by numerical simulation.