Fuzzy Logic Deadzone Compensation with Feedback Linearization of Nonlinear Systems
- 1 Department of Software Engineering, Uiduk University, Kyongju, South Korea
Abstract
A fuzzy logic compensator is designed for feedback linearizable nonlinear systems with deadzone nonlinearity. The classification property of fuzzy logic systems makes them a natural candidate for the rejection of errors induced by the deadzone, which has regions in which it behaves differently. A tuning algorithm is given for the fuzzy logic parameters, so that the deadzone compensation scheme becomes adaptive, guaranteeing small tracking errors and bounded parameter estimates. Formal nonlinear stability proofs are given to show that the tracking error is small. The fuzzy logic deadzone compensator is simulated on a one-link robot system to show its efficacy.
- Xu, Q. (2014) Design and Development of a Compact Flexure-Based XY Precision Positioning System with Centimeter Range. IEEE Transactions on Industrial Electronics, 61, 893-903. https://doi.org/10.1109/TIE.2013.2257139
- Chang, C.Y. (2007) Adaptive Fuzzy Controller of the Overhead Cranes with Nonlinear Disturbance. IEEE Transactions on Industrial Informatics, 3, 164-172. https://doi.org/10.1109/TII.2007.898433
- Kormushev, P., Deniris, Y. and Caldwell, D.F. (2015) Encoderless Positional Control of a Two Link Robot Manipulator. Robotics and Automation, Seattle, 943-949.
- He, W., David, A.S., Yin, Z. and Sun, C. (2016) Neural Network Control of a Robotic Manipulator with Input Dadzone and Output Constraint. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 46, 759-770. https://doi.org/10.1109/TSMC.2015.2466194
- Utkin, V.I. (1993) Sliding Mode Control Design Principles and Applications to Electric Drives. IEEE Transactions on Industrial Electronics, 40, 23-36. https://doi.org/10.1109/41.184818
- Yu, Z., Ju X. and Ding, Z. (2016) Control of Gear Transmission Servo Systems with Asymmetric Deadzone Nonlinearity. IEEE Transactions on Control Systems Technology, 24, 1472-1479. https://doi.org/10.1109/TCST.2015.2493119
- He, W., He, X. and Sun, C. (2017) Vibration Control of an Industrial Moving Strip in the Presence of Input Deadzone. IEEE Transactions on Industrial Electronics, 64, 4680-4689.
- Recker, D.A., Kokotovic, P.V., Rhode, D. and Winkelman, J. (1991) Adaptive Nonlinear Control of Systems Containing a Deadzone. IEEE Conference on Decision and Control, Brighton, 11-13 December 1991, 2111-2115. https://doi.org/10.1109/CDC.1991.261510
- Tian, M. and Tao, G. (1996) Adaptive Control of a Class of Nonlinear Systems with Unknown Deadzones. IFAC World Congress, San Francisco, 209-214.
- Kumar, R. and Kumar, M. (2015) Improvement Power System Stability Using Unified Power Flow Controller Based on Hybrid Fuzzy Logic PID Tuning in SMIB System. Green Computing and Internet of Things, Nodia, October 2015, 815-819. https://doi.org/10.1109/ICGCIoT.2015.7380575
- Jang, J.O. (2005) Deadzone Compensation of an XY Positioning Table Using Fuzzy Logic. IEEE Transactions on Industrial Electronics, 52, 1696-1701. https://doi.org/10.1109/TIE.2005.858702
- Lewis, F.L., Tim, W.K., Wang, L.Z. and Li, Z.X. (1999) Deadzone Compensation in Motion Control Systems Using Adaptive Fuzzy Logic Control. IEEE Transactions on Control Systems Technology, 7, 731-742. https://doi.org/10.1109/87.799674