Fractional Order Intelligent Controller for Single Tank Liquid Level System

Abstract

This paper addresses the application of fractional order integrator in multiresolution controller to design new fractional order intelligent controller (FOIC) using packet wavelet transform in discrete demesne for laboratory scale single tank liquid level system (LLS). The essence of this approach is to reduce the complexity of integer order packet controller as well as to achieve the better tracking performance compared to fractional order proportional-integral (FOPI) controller, fractional order discrete wavelet based controller as well as integer order packet controller. In this paper, the effects of this new FOI controller are studied and NI LABVIEW based simulation results are shown. The results on LLS problem show that this fractional order simple tree structured packet controller (FOIC) achieves better tracking performance i.e. lower steady state error with zero overshoot compared to its integer order version as well as FOPI controller. Also, the results depict its performance efficacy i.e. faster dynamic response over fractional order discrete wavelet controller and it provides better noise rejection potency by improving signal to noise ratio than FOPI controller.