Boundary Control of a Flexible Marine Riser Subject to Nonsmooth Actuator Backlash-Saturation Constraints
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摘要: 研究了针对执行器非光滑反向间隙-饱和约束特性的深海柔性立管系统振动控制和全局稳定问题.为了实现控制效果和品质，引入辅助系统和函数设计边界控制策略，以抑制立管系统振动并消除混合的反向间隙-饱和输入非线性影响.采用严格的分析且无需求助于模型降阶，所研发的控制器确保闭环系统在Lyapunov意义下的一致有界稳定性.通过选取恰当的设计参数，仿真结果验证了所设计控制器的控制性能.能.Abstract: This paper investigates the vibration control and global stabilization of a flexible riser system with non-smooth actuator input backlash-saturation constraints. The auxiliary system and the auxiliary function are introduced to develop a boundary control to suppress the vibration and eliminate the input nonlinearities effects for the riser system, further to improve the control performance. The uniformly bounded stability of the controlled riser system is ensured through a rigorous Lyapunov analysis without any model reduction. By choosing the proper control parameters, the obtained simulation results verify the control performance of the derived control.
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Key words:
- Flexible risers /
- vibration control /
- boundary control /
- input backlash /
- input saturation
1) 本文责任编委 姚鹏飞 -
[1] He W, Sun C, Ge S S. Top tension control of a flexible marine riser by using integral-barrier Lyapunov function. IEEE/ASME Transactions on Mechatronics, 2015, 20(2):497-505 doi: 10.1109/TMECH.2014.2331713 [2] He W, Nie S X, Meng T T, Liu Y J. Modeling and vibration control for a moving beam with application in a drilling riser. IEEE Transactions on Control Systems Technology, 2017, 25(3):1036-1043 doi: 10.1109/TCST.2016.2577001 [3] Do K D. Stochastic boundary control design for extensible marine risers in three dimensional space. Automatica, 2017, 77:184-197 doi: 10.1016/j.automatica.2016.11.032 [4] Zhao Z J, Liu Y, Guo F. Robust output feedback stabilization for a flexible marine riser system. ISA Transactions, 2018, 78:130-140 doi: 10.1016/j.isatra.2017.11.006 [5] 魏萍, 丁卯, 左信, 罗雄麟.基于微分方程对称的分布参数系统稳态控制.自动化学报, 2014, 40(10):2163-2170 http://www.aas.net.cn/CN/abstract/abstract18491.shtmlWei Ping, Ding Mao, Zuo Xin, Luo Xiong-Lin. Steady-state control for distributed parameter systems by symmetry of differential equations. Acta Automatica Sinica, 2014, 40(10):2163-2170 http://www.aas.net.cn/CN/abstract/abstract18491.shtml [6] 李健, 刘允刚.一类不确定热方程自适应边界控制.自动化学报, 2012, 38(3):469-473 http://www.aas.net.cn/CN/abstract/abstract17699.shtmlLi Jian, Liu Yun-Gang. Adaptive boundary control for a class of uncertain heat equations. Acta Automatica Sinica, 2012, 38(3):469-473 http://www.aas.net.cn/CN/abstract/abstract17699.shtml [7] Li S, Yao P F. Stabilization of the Euler-Bernoulli plate with variable coefficients by nonlinear internal feedback. Automatica, 2014, 50(9):2225-2233 doi: 10.1016/j.automatica.2014.07.010 [8] Guo W, Guo B Z. Performance output tracking for a wave equation subject to unmatched general boundary harmonic disturbance. Automatica, 2016, 68:194-202 doi: 10.1016/j.automatica.2016.01.041 [9] Wang J M, Liu J J, Ren B B. Sliding mode control to stabilization of cascaded heat PDEODE systems subject to boundary control matched disturbance. Automatica, 2015, 52:23-34 doi: 10.1016/j.automatica.2014.10.117 [10] Wu H N, Wang J W. Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE-beam systems. Automatica, 2014, 50(11):2787-2798 doi: 10.1016/j.automatica.2014.09.006 [11] Cai X S, Krstic M. Nonlinear stabilization through wave PDE dynamics with a moving uncontrolled boundary. Automatica, 2016, 68:27-38 doi: 10.1016/j.automatica.2016.01.043 [12] Ge S S, He W, How B V. Boundary control of a coupled nonlinear flexible marine riser. IEEE Transactions on Control Systems Technology, 2010, 18(5):1080-1091 doi: 10.1109/TCST.2009.2033574 [13] Guo F, Liu Y, Luo F. Adaptive stabilisation of a flexible riser by using the Lyapunov-based barrier backstepping technique. IET Control Theory and Applications, 2017, 11(14):2252-2260 doi: 10.1049/iet-cta.2017.0076 [14] 赵志甲, 刘屿, 郭芳, 吴忻生, 邬依林.海洋柔性立管输出反馈边界控制.控制理论与应用, 2017, 34(2):205-214 http://d.old.wanfangdata.com.cn/Periodical/kzllyyy201702007Zhao Zhi-jia, Liu Yu, Guo Fang, Wu Xin-Sheng, Wu Yi-Lin. Robust boundary control for flexible fluid-transporting marine riser based on internal fluid dynamics. Control Theory and Applications, 2017, 34(2):205-214 http://d.old.wanfangdata.com.cn/Periodical/kzllyyy201702007 [15] Guo F, Liu Y, Wu Y L, Luo F. Observer-based backstepping boundary control for a flexible riser system. Mechanical Systems and Signal Processing, 2018, 111:314-330 doi: 10.1016/j.ymssp.2018.03.058 [16] He W, Ge S S, How B V, Choo Y S, Hong K S. Robust adaptive boundary control of a flexible marine riser with vessel dynamics. Automatica, 2011, 47(4):722-732 doi: 10.1016/j.automatica.2011.01.064 [17] Chen M, Ren Y, Liu J Y. Anti-disturbance control for a suspension cable system of helicopter subject to input nonlinearities. IEEE Transactions on Systems, Man, and Cybernetics:Systems, 2018, 48(12):2292-2304 doi: 10.1109/TSMC.2017.2710638 [18] Liu Z J, Liu J K, He W. Modeling and vibration control of a flexible aerial refueling hose with variable lengths and input constraint. Automatica, 2017, 77:302-310 doi: 10.1016/j.automatica.2016.11.002 [19] Li H Y, Zhao S Y, He W, Lu R Q. Adaptive finite-time tracking control of full states constrained nonlinear systems with dead-zone. Automatica, 2019, 100:99-107 doi: 10.1016/j.automatica.2018.10.030 [20] Zhou J, Wen C Y. Adaptive Backstepping Control of Uncertain Systems:Nonsmooth Nonlinearities, Interactions or Time-Variations. Boston:Birkhauser, 2008. 83-96 [21] He W, He X Y, Ge S S. Vibration control of flexible marine riser systems with input saturation. IEEE/ASME Transaction on Mechatronics, 2016, 21(1):254-265 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=6c294a19272e13a2abda4b6224a3457f [22] Zhao Z J, He X Y, Wen G L. Boundary robust adaptive antisaturation control of vibrating flexible riser systems. Ocean Engineering, 2019, 179:298-306 doi: 10.1016/j.oceaneng.2019.01.020 [23] Zhao Z J, Liu Z J, Li Z F, Wang N, Yang J F. Control design for a vibrating flexible marine riser system. Journal of the Franklin Institute, 2017, 354(18):8117-8133 doi: 10.1016/j.jfranklin.2017.10.004 [24] Zhao Z J, He X Y, Ren Z G, Wen G L. Boundary adaptive robust control of a flexible riser system with input nonlinearities. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018, in press, DOI: 10.1109/TSMC.2018.2882734 [25] Rodriguez Linan, M C, Heath W. P. Controller structure for plants with combined saturation and deadzone/backlash. In: Proceedings of the 2012 IEEE International Conference on Control Applications (CCA). Dubrovnik, Croatia, 2012. 1394-1399 [26] Queiroz M S, Dawson D M, Nagarkatti S P, Zhang F M. Lyapunov Based Control of Mechanical Systems. Boston:Birkhauser, 2000. 279-280 [27] Zhao Z J, Shi J, Lan X J, Wang X W. Adaptive neural network control of a flexible string system with non-symmetric dead-zone and output constraint. Neurocomputing, 2018, 283:1-8 doi: 10.1016/j.neucom.2017.12.013 [28] He X Y, He W, Jing S, Sun C Y. Boundary vibration control of variable length crane systems in two dimensional space with output constraints. IEEE/ASME Transaction on Mechatronics, 2017, 22(5):1952-1962 doi: 10.1109/TMECH.2017.2721553 [29] Liu Z J, Liu J K, He W. Robust adaptive fault tolerant control for a linear cascaded ode-beam systems. Automatica, 2018, 98:42-50 doi: 10.1016/j.automatica.2018.09.021 [30] Zhao Z J, He X Y, Ren Z G, Wen G L. Output feedback stabilization for an axially moving system. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018, in press, DOI: 10.1109/TSMC.2018.2882822 [31] Fu J, Ma R C, Chai T Y. Adaptive finite-time stabilization of a class of uncertain nonlinear systems via logic-based switchings. IEEE Transactions on Automatic Control, 2018, 62(11):5998-6003 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=be19b29bbd7054edca0150b180de9748 [32] Dai J G, Ren B B. UDE-based robust boundary control for an unstable parabolic PDE with unknown input disturbance. Automatica, 2018, 93:363-368 doi: 10.1016/j.automatica.2018.03.080 -
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