Optimal and Higher Order Sliding Mode Control for Systems with Disturbance Rejection

This paper presents the higher order sliding mode control for a typical unstable process to maintain the system’s stability with disturbance rejection. The control of uncertainty and distance rejection is a difficult task in control engineering applications. The literature found that non-linear uncertain systems have been studied by different researchers in the control engineering field. In this paper second-order integral sliding mode control (SMC) surface is chosen to derive the value of switching surface control. The proposed controller design depends on the calculation of poles of the systems irrespective of stable or unstable poles and gives practical value for the control input signal, and it is implemented for the system’s nominal model. In the optimal controller, the computed values of gains from systems poles are used to derive the one of SMC law. In the presented work, the system’s unstable or stable poles give the proper value for the control input signal. The proposed technique’s significant advantages include disturbance rejection, insensitivity to variation in plant variables, and implementation issues. The simulation results show an advantage over the designed SMC approach to stabilize the system and its output responses.