A Gain-Adaptive Intelligent Nonlinear Control for an Electrohydraulic Rotary Actuator

Nguyen Minh Tri1, Dang Xuan Ba2, Kyoung Kwan Ahn2
1School of Mechanical Engineering, Graduate School, University of Ulsan, Ulsan, Republic of Korea
2School of Mechanical Engineering, University of Ulsan, Ulsan, Republic of Korea

Tóm tắt

This paper introduces an effective approach for trajectory-tracking control of an electrohydraulic rotary actuator (EHRA). The key feature of this control approach is to utilize a gain-adaptive fuzzy sliding mode control technique to realize the control objective wherein the mathematical model of the system dynamics does not need to be known exactly. Firstly, a state space form of the system model is reviewed. Secondly, an adaptive sliding mode modifier is constructed to derive an equivalent control signal while an additional fuzzy tuning scheme is employed to maintain the system robustness. Convergence of the closed loop system is then ensured by using Lyapunov analyses. Finally, effectiveness and feasibility of the proposed control method are confirmed through three experimental cases in different working conditions.

Tài liệu tham khảo

Brecher, C., Jasper, D., and Fey, M., “Analysis of New, Energy-Efficient Hydraulic Unit for Machine Tools,” International Journal of Precision Engineering and Manufacturing-Green Technology, vol. 4, no. 1, pp. 5–11, 2017. Lee, J. M., Kim, H. M., Park, S. H., and Kim, J. S., “A Position Control of Electro-Hydraulic Actuator Systems Using the Adaptive Control Scheme,” Proc. of 7th Asian Control Conference, pp. 21–26, 2009. Ryu, J. K. and Seo, H. T., “A Feedback Control of Pump-Controlled Electro-Hydrostatic Actuation System,” Journal of the Korean Society for Precision Engineering, vol. 33, no. 10, pp. 837–843, 2016. Zhang, J., Chao, Q., Xu, B., Pan, M., Chen, Y., Wang, Q., and Li, Y., “Effect of Piston-Slipper Assembly Mass Difference on the Cylinder Block Tilt in a High-Speed Electro-Hydrostatic Actuator Pump of Aircraft,” International Journal of Precision Engineering and Manufacturing, vol. 18, no. 7, pp. 995–1003, 2017 Kokotovic, V. V., Grabowski, J., Amin, V., and Lee, J., “Electro Hydraulic Power Steering System,” SAE Technical Paper, No. 1999-01-0404, 1999. Liem, D. T. and Ahn, K. K., “Adaptive Semi-Parallel Position/Force-Sensorless Control of Electro-Hydraulic Actuator System using MR Fluid Damper,” International Journal of Precision Engineering and Manufacturing, vol. 17, no. 11, pp. 1451–1463, 2016. Liem, D. T., Truong, D. Q., Park, G. P., and Ahn, K. K., “A Feedforward Neural Network Fuzzy Grey Predictor-Based Controller for Force Control of an Electro-Hydraulic Actuator,” International Journal of Precision Engineering and Manufacturing, vol. 17, no. 3, pp. 309–321, 2016. Ba, D. X., Ahn, K. K., Truong, D. Q., and Park, G. P., “Integrated Model-Based Backstepping Control for an Electro-Hydraulic System,” International Journal of Precision Engineering and Manufacturing, vol. 17, no. 5, pp. 565–577, 2016. Nahian, S. A., Truong, D. Q., Puja, C., Das, D., and Ahn, K. K., “Modeling and Fault Tolerant Control of an Electro-Hydraulic Actuator,” International Journal of Precision Engineering and Manufacturing, vol. 17, no. 10, pp. 1285–1297, 2016. Wang, S., Burton, R., and Habibi, S., “Sliding Mode Controller and Filter Applied to an Electrohydraulic Actuator System,” Proc. of ASME International Mechanical Engineering Congress and Exposition, pp. 35–44, 2005. Parker Hannifin Corporation, Hydraulic Rotary Actuators, http://www.parker.com/literature/Literature%20Files/pneumatic/UPD_2010/HY03-1800.pdf (Accessed 22 MAR 2018) Park, M. S., Lee, J. S., Kim, D. Y., and Lee, E. S., “Design and Performance Test of a Rotary Actuator for Side Tilting Excavator Bucket,” Journal of the Korean Society for Precision Engineering, vol. 34, no. 1, pp. 47–51, 2017. Liem, D. T., Truong, D. Q., and Ahn, K. K., “A Torque Estimator Using Online Tuning Grey Fuzzy PID for Applications to Torque-Sensorless Control of DC Motors,” Mechatronics, vol. 26, pp. 45–63, 2015. Liu, G. P. and Daley, S., “Optimal-Tuning PID Controller Design in the Frequency Domain with Application to a Rotary Hydraulic System,” Control Engineering Practice, vol. 7, no. 7, pp. 821–830, 1999. Ahn, K. K., Quang, D. V., and Yoon, J. I., “A Nonlinear Control System Using a Fuzzy Self Tuning Grey Predictor Based on a PID Controller,” Proc. of International Conference on Control Automation and Systems, pp. 418–422, 2010. Zhang, H., Shi, Y., and Mehr, A. S., “Robust Static Output Feedback Control and Remote PID Design for Networked Motor Systems,” IEEE Transactions on Industrial Electronics, vol. 58, no. 12, pp. 5396–5405, 2011. Zhang, H., Shi, Y., and Mehr, A. S., “Robust ℋ∞ PID Control for Multivariable Networked Control Systems with Disturbance/Noise Attenuation,” International Journal of Robust and Nonlinear Control, vol. 22, no. 2, pp. 183–204, 2012. Liu, G. P. and Daley, S., “Optimal-Tuning Nonlinear PID Control of Hydraulic Systems,” Control Engineering Practice, vol. 8, no. 9, pp. 1045–1053, 2000. Ahn, K. K., Truong, D. Q., Thanh, T. Q., and Lee, B. R., “Online Self-Tuning Fuzzy Proportional-Integral-Derivative Control for Hydraulic Load Simulator,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 222, no. 2, pp. 81–95, 2008. Misir, D., Malki, H. A., and Chen, G., “Design and Analysis of a Fuzzy Proportional-Integral-Derivative Controller,” Fuzzy Sets and Systems, vol. 79, no. 3, pp. 297–314, 1996. Passino, K. M., “Fuzzy Control,” Addison-Wesley, 1998. Precup, R. E., Preitl, S., Rudas, I. J., Tomescu, M. L., and Tar, J. K., “Design and Experiments for a Class of Fuzzy Controlled Servo Systems,” IEEE/ASME Transactions on Mechatronics, vol. 13, no. 1, pp. 22–35, 2008. Du, H. and Zhang, N., “Fuzzy Control for Nonlinear Uncertain Electrohydraulic Active Suspensions with Input Constraint,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 2, pp. 343–356, 2009. Do, H. T. and Ahn, K. K., “Velocity Control of a Secondary Controlled Closed-Loop Hydrostatic Transmission System Using an Adaptive Fuzzy Sliding Mode Controller,” Journal of Mechanical Science and Technology, vol. 27, no. 3, pp. 875–884, 2013. Sam, Y. M., Osman, J. H., and Ghani, M. R. A., “A Class of Proportional-Integral Sliding Mode Control with Application to Active Suspension System,” Systems & Control Letters, vol. 51, Nos. 3–4, pp. 217–223, 2004. Kim, C. and Ro, P. I., “A Sliding Mode Controller for Vehicle Active Suspension Systems with Non-Linearities,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 212, no. 2, pp. 79–92, 1998. Yu, X., Man, Z., and Wu, B., “Design of Fuzzy Sliding-Mode Control Systems,” Fuzzy Sets and Systems, vol. 95, no. 3, pp. 295–306, 1998. Chiang, M. H. and Chien, Y. W., “Parallel Control of Velocity Control and Energy-Saving Control for a Hydraulic Valve-Controlled Cylinder System Using Self-Organizing Fuzzy Sliding Mode Control,” JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing, vol. 46, no. 1, pp. 224–231, 2003. Choi, B.-J., Kwak, S.-W., and Kim, B. K., “Design of a Single-Input Fuzzy Logic Controller and Its Properties,” Fuzzy Sets and Systems, vol. 106, no. 3, pp. 299–308, 1999. Wang, L. X., “Adaptive Fuzzy Systems and Control: Design and Stability Analysis,” PTR Prentice Hall, 1994. Lee, H. and Tomizuka, M., “Robust Adaptive Control Using a Universal Approximator for SISO Nonlinear Systems,” IEEE Transactions on Fuzzy Systems, vol. 8, no. 1, pp. 95–106, 2000. Zhang, D. L., Chen, Y. P., Xie, J. M., Ai, W., and Yuan, C. M., “A Hybrid Control Method of Sliding Mode and PID Controllers Based on Adaptive Controlled Switching Portion,” Proc. of 29th Chinese Control Conference (CCC), pp. 439–445, 2010. Do, H. T., Park, H. G., and Ahn, K. K., “Application of an Adaptive Fuzzy Sliding Mode Controller in Velocity Control of a Secondary Controlled Hydrostatic Transmission System,” Mechatronics, vol. 24, no. 8, pp. 1157–1165, 2014. Chiang, M.-H., Lee, L.-W., and Liu, H.-H., “Adaptive Fuzzy Sliding-Mode Control for Variable Displacement Hydraulic Servo System,” Proc. of IEEE International Fuzzy Systems Conference, pp. 1–6, 2007. Noroozi, N., Roopaei, M., and Jahromi, M. Z., “Adaptive Fuzzy Sliding Mode Control Scheme for Uncertain Systems,” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 11, pp. 3978–3992, 2009. Micromatic, “LLC, Engineering Data,” http://www.micromaticllc.com/document-view/engineering-data-3 (Accessed 22 MAR 2018) Tri, N. M., Nam, D. N. C., Park, H. G., and Ahn, K. K., “Trajectory Control of an Electro Hydraulic Actuator Using an Iterative Backstepping Control Scheme,” Mechatronics, vol. 29, pp. 96–102, 2015. Tri, N. M., Binh, P. C., and Ahn, K. K., “Power Take-off System Based on Continuously Variable Transmission Configuration for Wave Energy Converter,” International Journal of Precision Engineering and Manufacturing-Green Technology, vol. 5, no. 1, pp. 89–101, 2018. Merritt, H. E., “Hydraulic Control Systems,” John Wiley & Sons, 1967.