Abstract: This paper presents a controller design methodology using Model Reference Adaptive System (MRAS) technique for a multi input multi output (MIMO) coupled tank system using Lyapunov design approach. Adaptation law designed using Lyapunov approach, ensures the stability of the system and the system has better transient response. Mathematical modeling of a coupled tank system has been presented in this paper. The change in the response of the system with the change in the value of adaptation gain parameters has also been studied. Simulation using MATLAB has been carried out to show the behavior of the system after applying the control algorithm.

Keywords: Mathematical Modeling, MRAC, Lyapunov Theory, adaptation gains, and MIMO.