Magnetic ball levitation system control using sliding mode control and fuzzy PD+I control: A comparative study

This paper presents a comparative study of three control approaches; fuzzy proportional and derivative control with increment (PD+I) controller of both Mamdani and Takagi-Sugeno (TS) inference system and sliding mode control (SMC). It presents the implementation of both intelligent and nonlinear control in a highly open loop unstable nonlinear system. Instead of fuzzy PID controller, PD+I controller is implemented for both the fuzzy controller for avoiding problem of integral windup. A robust SMC is designed without transforming into the canonical form. Important control problem i.e. tracking of ball position of magnetic ball levitation system (Maglev), which is very difficult to control, is done on the practical platform and the performances of all the controllers are compared. Simulation is performed to demonstrate the effectiveness of control strategies. Simulation result reveals that control schemes are working satisfactorily. Control effort and degree of tracking for all the controllers are analyzed and compared.

[1]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[2]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[3]  Chin-Teng Lin,et al.  Nonlinear System Control Using Adaptive Neural Fuzzy Networks Based on a Modified Differential Evolution , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[4]  Ebrahim H. Mamdani,et al.  An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller , 1999, Int. J. Hum. Comput. Stud..

[5]  Mohammad Bilal Malik,et al.  Real time implementation of feedback linearizing controllers for magnetic levitation system , 2013, 2013 IEEE Conference on Systems, Process & Control (ICSPC).

[6]  Fuzzy Logic in Control Systems : Fuzzy Logic , 2022 .

[7]  Ahmed El Hajjaji,et al.  Modeling and nonlinear control of magnetic levitation systems , 2001, IEEE Trans. Ind. Electron..

[8]  V. Utkin Variable structure systems with sliding modes , 1977 .

[9]  George K. I. Mann,et al.  Two-level tuning of fuzzy PID controllers , 2001, IEEE Trans. Syst. Man Cybern. Part B.

[10]  Wei Li,et al.  Design of a hybrid fuzzy logic proportional plus conventional integral-derivative controller , 1998, IEEE Trans. Fuzzy Syst..

[11]  George K. I. Mann,et al.  A systematic study of fuzzy PID controllers-function-based evaluation approach , 2001, IEEE Trans. Fuzzy Syst..

[12]  Bohdan S. Butkiewicz,et al.  About Robustness of Fuzzy Logic PD and PID Controller under Changes of Reasoning Methods , 2002, Advances in Computational Intelligence and Learning.

[13]  Chuen-Chien Lee FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[14]  Jin-Shiuh Taur,et al.  A robust fuzzy control of a nonlinear magnetic ball suspension system , 1995, Proceedings IEEE Conference on Industrial Automation and Control Emerging Technology Applications.

[15]  Rajani K. Mudi,et al.  A robust self-tuning scheme for PI- and PD-type fuzzy controllers , 1999, IEEE Trans. Fuzzy Syst..

[16]  Jie Ma,et al.  Parameters self-adjusting fuzzy PID control in magnetic levitation system , 2008, 2008 2nd International Symposium on Systems and Control in Aerospace and Astronautics.

[17]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..