A new adaptive controller for a two-tank-system based on algebraic derivation techniques

In this paper, a new adaptive controller is proposed for ultra-local model based control. The concept is based on the algebraic derivation techniques to estimate the two ultra-local model parameters. A comparison study with the control method of Fliess-Join which is based on some elementary differential algebra is developed. The robustness of the ultra-local model controllers with respect to noises, external disturbances and parameter uncertainties is highlighted. The control strategies are successfully tested via the control of a two-tank nonlinear system. Different numerical simulations show the effectiveness of the proposed controller.