Design a Non-Linear Conical Tank System with Continuous Tuning and Adaptive Fractional Order PID Controller

: The proposed research idea is to design a continuously tuned adaptive Fractional order PID controller for a non-linear conical tank system. An adaptive auto tuning approach will be implemented to continuously tune the controller parameters in correspondence with the change in operating points. For each stable operating point, a FOPTD model will be identified using process reaction curve method. The estimated model parameters are used to calculate the controller parameters for each operating points. Based on these calculated controller parameters and its operating points, a tuning system will be designed. The tuning system will be able to interpolate and extrapolate the relation between control variable and the controller parameters over entire span of control variables. Finally, a detailed time-domain modeling of the conical tank will be performed. Microcontroller based DAQ to interface the simulink tool with the system. Thus the adaptive controller will be able to produce a consistent response regardless of parametric variations with minimum overshoots, minimum settling time, and minimum tuning parameters to obtain a critically damped system.