A new second order sliding mode control approach for coupled MIMO nonlinear uncertain systems

The paper proposes a new second order sliding mode control (SOSMC) approach for coupled multi-input multi-output (MIMO) nonlinear uncertain systems. This proposed new SOSMC is designed by the choice of a judicious Lyapunov function which depends on the sliding surfaces and its derivative. This control can be applied to a large class of nonlinear coupled MIMO processes affected by uncertainties and disturbances. The applicability and the efficiency of our approach are illustrated by simulation results for an interconnected three-tank system.