High-Order Modeling, Zeroing Dynamics Control, and Perturbations Rejection for Non-Linear Double-Holding Water Tank

The double-holding water tank system is a common non-linear control that plays crucial role in process the chemical industry. It consists of two cylindrical glass containers: preset and main tank. challenge controlling this adjusting valve to ensure actual liquid level tracks desired level. This paper explores zeroing dynamics (ZD) method its application tracking control. A model developed for system, ZD used design an effective controller (called controller) Additionally, robustness presence time-varying perturbations investigated. In order substantiate effectiveness controller, simulation experiments on four different trajectories corresponding practical situations, as well extra experiment considering perturbations, are conducted. Furthermore, comparative based backstepping presented results successfully illustrate feasibility systems.