Tilt Integral Derivative-Based Sliding Mode Control for Nonlinear Two Interacting Tanks

Controlling nonlinear dynamic processes presents serious difficulties due to uncertainties and external disturbances. For better control performance, advanced strategies are required to enhance tracking accuracy and disturbance rejection. This study proposes a novel tilt-integral derivative sliding-mode control strategy (TIDSMC), which merges the benefits of tilt-integral derivative (TID) control for fast response and better noise rejection with the robustness of sliding mode control (SMC) in handling external disturbances. The designed TIDSMC is introduced for controlling a nonlinear two-tank system, and the stability is verified based on the Lyapunov stability method. Effectiveness and robustness of TIDSMC are verified for various scenarios, including variable reference, external disturbance, parameter uncertainties, and noise effect. Also, evaluation of TIDSMC’s performance is conducted through a comparative analysis with other techniques in terms of error and time response performance indices. The comparative results explicitly demonstrate significant improvements in the responses and highlight the superiority of the developed TIDSMC technique.