Terminal sliding mode control for singular systems with unmatched uncertainties

A sliding mode control method is proposed for a class of multiply input and multiply output (MIMO) linear singular systems with unmatched uncertainties. Firstly, the singular system is transformed into the normal system by a derivative state feedback controller under the assumption that system is strong controllable. And then a terminal sliding mode manifold is designed and the control law is driven to reach the terminal sliding mode surface in finite time and converge to the neighborhood of equilibrium point in finite time once they are on the sliding mode manifold. The neighborhood of equilibrium is related with the range of unmatched uncertainties and parameters of terminal sliding mode. Finally, simulation example validates the design method.