Comparison of Ziegler-Nichols and Cohen Coon tuning method for magnetic levitation control system

Abstract

Magnetic levitation is an example of a nonlinear system that is naturally unstable. In the control system field, it can be also used to check the effectiveness of control methods. Unlike other researches overcoming by analytical method, this research investigates the solution of the nonlinearity of the magnetic field by placing two effect hall sensors on the top and bottom of magnetic coils. After decreasing the effect of nonlinearity, two PID control tuning methods, Ziegler Nichols (ZN) and Cohen Coon (CC), are compared to obtain an appropriate control structure and its initial parameters. The experimental result shows that the best control structure of ZN method is PID whereas its initial parameters, Kp, Ti, and Td, are 15.33, 0.036 and 0.009, respectively. The rise-time and settling time of the response are 0.54s and 0.59s. The appropriate control structure is PI control whereas Kp and Ti are 30.05 and 0.012 from CC method. The rise-time and settling time resulted are 0.8s and 0.67s. The ZN method with PID control structure has a better response with smaller rise-time and settling time than PI control from CC Method. This research is benefit for solving a problem dealing with magnetic levitation control.

An optimal proportional integral derivative tuning for a magnetic levitation system using metamodeling approach

“…PID controller is mathematically represented by: 𝑢(𝑡) = 𝐾 𝑝 𝑒(𝑡) + 𝐾 𝑖 ∫ 𝑒(𝑡)𝑑𝑡 + 𝐾 𝐷 𝑑𝑒(𝑡) 𝑑𝑡 (10) where 𝑒(𝑡) is the error. Ziegler Nichols based PID [19]. Equation is given as (11) and (12):…”

Computational Validation of the Best Tuning Method for a Vehicle-Integrated PID Controller

“…The Cohen-Coon (CC) tuning technique [18] of the PID controller is based on the Ziegler-Nichols method. The Ziegler-Nichols method presents a slow response at a steady state, whereas the Cohen-Coon tuning method can overcome this limitation in the parameter values for adjusting the PID controller [18,19] based on Table 4.…”

Pengendali Kecepatan Sudut Motor DC Menggunakan Kontrol PID dan Tuning Ziegler Nichols

“…Salah satu permasalahan pada pengendali PID adalah penentuan parameter PID [22]. Beberapa metode untuk menentukan parameter PID yaitu metode coba-coba (trial and error) [23][24] [25] dan metode Ziegler Nichols [26] [27]. Metode trial and error memiliki kekurangan yaitu menghabiskan waktu, tenaga dan hasilnya tidak selalu bagus [28][29] [30].…”