A New Third-Order Sliding-Mode Controller—Application to an Electropneumatic Actuator

The objective of this brief is to propose a new third-order sliding-mode (TOSM) controller. The main feature of this controller is that it only requires the sliding variable and its first time derivative (whereas standard TOSM controllers are also using the second-order time derivative of the sliding variable). This reduction of the use of time derivatives is very important, because it reduces the noise introduced in the controller. Parameters tuning rules are also given. The control strategy is experimentally applied to an electropneumatic system.