An adaptive controller with state constraints is proposed for hydraulic systems
where a finite time disturbance observer and an adaptive controller are designed following barrier Lyapunov function. The finite time disturbance observer ensures disturbance estimation accuracy
and the adaptive controller handles parametric uncertainties. Barrier Lyapunov function is employed for state constraints to stabilize the closed loop system. Theoretically
the controller guarantees asymptotic tracking performance. Experimental results show that the algorithm can constrain the output velocity and acceleration
the maximum static tracking error is 0.06 mm when the amplitude of the desired tracking trajectory is 10 mm
and the maximum relative tracking error reaches 0.6%
thus the system tracking accuracy is obviously improved.
关键词
Keywords
references
MERRITT H E. Hydraulic control systems [M]. New York, USA: Wiley, 1967: 100-175.
YAO Jianyong, JIAO Zongxia, MA Dawei, et al. High-accuracy tracking control of hydraulic rotary actuators with modeling uncertainties [J]. IEEE/ASME Transactions on Mechatronics, 2014, 19(2): 633-641.
YAO Bin, BU Fangping, REEDY J, et al. Adaptive robust motion control of single-rod hydraulic actuators: theory and experiments [J]. IEEE/ASME Transactions on Mechatronics, 2000, 5(1): 79-91.
WHATTON J. Fluid power systems [M]. Englewood Cliffs, NJ, USA: Prentice-Hall, 1989: 65-109.
YAO Jianyong, JIAO Zongxia, MA Dawei. Extended state observer-based output feedback nonlinear robust control of hydraulic systems with backstepping [J]. IEEE Transactions on Industrial Electronics, 2014, 61(11): 6285-6293.
YAO Jianyong, DENG Wenxiang, JIAO Zongxia. Adaptive control of hydraulic actuators with LuGre model based friction compensation [J]. IEEE Transactions on Industrial Electronics, 2015, 62(10): 6469-6477.
SCHKODA R F. Sliding mode control of a hydraulically actuated load application unit with application to wind turbine drivetrain testing [J]. IEEE Transactions on Control Systems Technology, 2015, 23(6): 2203-2215.
NGO K B, MAHONY R, JIANG Zhongping. Integrator backstepping using barrier functions for systems with multiple state constraints [C]∥Proceedings 44th IEEE Conference on Decision Control. Piscataway, NJ, USA: IEEE, 2005: 8306-8312.
TEEK P, GE Shuzhi, TAY E H. Barrier Lyapunov functions for the control of output-constrained nonlinear systems [J]. Automatica, 2009, 45(4): 918-927.
DENG Wenxiang, YAO Jianyong, JIAO Zongxia. Adaptive backstepping motion control of hydraulic actuators with velocity and acceleration constraints [C]∥Proceedings of 2014 IEEE Chinese Guidance, Navigation and Control Conference. Piscataway, NJ, USA: IEEE, 2014: 219-224.
MOHANTY A, YAO Bin. Indirect adaptive robust control of hydraulic manipulators with accurate parameter estimates [J]. IEEE Transactions on Control Systems Technology, 2011, 19(3): 567-575.
SASTRY S, BODSON M. Adaptive control: stability, convergence and robustness [M]. Englewood Cliffs, NJ, USA: Prentice-Hall, 1989: 07632.
YAO Bin, TOMIZUKA M. Smooth robust adaptive sliding mode control of robot manipulators with guaranteed transient performance [J]. Journal Dynamic Systems Measurement and Control, 1996, 118(4): 764-775.
SHTESSEL Y, SHKOLNIKOV I, LEVANT A. Smooth second-order sliding modes: missile guidance application [J]. Automatica, 2007, 43(8): 1470-1476.
LANDU I D, LOZANO R, M'SAAD M. Adaptive control [M]. Berlin, Germany: Springer, 1998: 75-89.
XU Zhangbao, MA Dawei, YAO Jianyong, et al. Adaptive robust control for hydraulic actuators with accurate disturbance estimation [J]. Journal of Xi'an Jiaotong University, 2016, 50(8): 123-129.