Comparative Study on Fuzzy Supervision and Gain Scheduling for Nonlinear Level Control System
Chalidia Nurin Hamdani (a*), Wasis Waskito Adi (a), Dimas Okky Anggriawan (b)

(a) Refinery Instrumentation Engineering, Politeknik Energi dan Mineral Akamigas
(b) Electrical Engineering, Politeknik Elektronika Negeri Surabaya

Abstract

Nonlinear system is always become interesting topic to be researched. Level system is the one of them. Deadtime, changeable dynamics, etc make the conventional controller like PID have to be improved and optimized to face this system. In this paper, we propose a comparative study about PID control which is optimized using two different methods. First method is fuzzy supervision: the fuzzy is used to supervise the PID parameters based on desired operating points and performance. Using the same operating points and desired performance, the second method, gain scheduling, is designed: the optimal PID parameters is mapped in scheduling algorithm. Both methods is evaluated and compared in terms of settling time and maximum overshoot in some set point conditions by MATLAB simulation. The simulation result shown that the PID-fuzzy supervision have a better performance than the PID-gain scheduling. PID-fuzzy supervision give a faster response with 0.9 second of time constant deviation and 0.7 second of settling time deviation against PID-gain scheduling in operating point of 22 percent. Furthermore, this result is also confirmed by the value of ITAE. In same operating point, PID-fuzzy supervision ITAE (249,4779) is smaller than PID-gain scheduling ITAE (307,0614).

Keywords: nonlinear system- fuzzy supervision- gain scheduling

Topic: Engineering