Design of Stable Model Reference Adaptive System via Lyapunov Rule for Control of a Chemical Reactor

Abstract

In this paper, two model reference adaptive control strategy including MIT rule and Lyapunov rule are used to design iterative learning controllers for a chemical-reactor system with uncertain parameters, initial output resetting error and input disturbance. The learning controller compensates for the unknown parameters, uncertainties, and non-linearity using adaptation law which updates control parameters. It is shown that the internal signals remain bounded if we use a Lyapunov base algorithm, but the algorithm via MIT rule can!t guarantee the stability of system in all conditions. The output tracking error will converge to a profile which can be tuned by design parameters and the convergence speed is improved if the adaptation gain is large. The proposed control algorithm was simulated using MATLAB / Simulink software package to validate the performance of designed algorithm.

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Jafar Saleh
Jafar Saleh
Sr. Automation & Control Engineer

My research interests include Industrial automation, Artificial intelligence and Robotics.