针对水下潜器纵向姿态角控制的稳定性问题,对水下潜器的姿态角控制系统设计一种分数阶PID控制器。在控制器设计过程中,引入时间误差绝对值(ITAE)准则,ITAE准则的引入可快速获得分数阶PID的优化参数,设计优化分数阶PID控制器。最后,以水下潜器的传递函数为仿真对象,分别采用分数阶PID控制器和常规PID控制器进行仿真研究。通过控制性能比较发现,本文所提出的分数阶PID控制器的控制效果明显优于常规PID控制器,且分数阶PID控制器具有更强的鲁棒性。
Aiming at the stability problem of the control of underwater vehicle longitudinal attitude angel, a Fractional-Order Proportional Integral Derivative (FOPID) controller is presented for underwater vehicle attitude angel control system. While designing the FOPID controller, the integrated product of time and absolute error standard (ITAE) is adopted to fast optimize the parameters of FOPID controller. Finally, the transfer function of underwater vehicle is chosen as the subject investigated, and simulation experiments of FOPID and classical PID controllers are carried out. By comparing the control performance of the two different controllers, the FOPID controller presented has more satisfactory performance and stronger robustness.
2016,38(11): 129-132 收稿日期:2016-05-09
DOI:10.3404/j.issn.1672-7619.2016.11.027
分类号:U664.82+2
基金项目:辽宁省自然科学基金资助项目(2015020622);中央高校基本科研业务费资助项目(3132015002)
作者简介:赵健(1980-),男,硕士,讲师,研究方向为航海技术、海事安全及自动控制。
参考文献:
[1] 张显库. 船舶运动简捷鲁棒控制[M]. 北京: 科学出版社, 2012.
[2] ROBERTS G N. Trends in marine control systems[J]. Annual Reviews in Control, 2008, 32(2): 263-269.
[3] SHEN Y X, SHAO K Y, REN W J, et al. Diving control of autonomous underwater vehicle based on improved active disturbance rejection control approach[J]. Neurocomputing, 2016, 173: 1377-1385.
[4] KIM J, JOE H, YU S C, et al. Time-delay controller design for position control of autonomous underwater vehicle under disturbances[J]. IEEE Transactions on Industrial Electronics, 2016, 63(2): 1052-1061.
[5] 肖永利, 张琛, 吴庆宪. QFT在水下潜器控制系统设计中的应用[J]. 上海交通大学学报, 1999, 33(4): 446-449.XIAO Yong-li, ZHANG Chen, WU Qing-xian. Application of QFT in Design of Underwater Vehicle Control System[J]. Journal of Shanghai Jiaotong University, 1999, 33(4): 446-449.
[6] 肖永利, 张琛, 李振波, 等. 水下潜器的鲁棒控制系统设计[J]. 上海交通大学学报, 1999, 33(11): 1348-1351.XIAO Yong-li, ZHANG Chen, LI Zhen-bo, et al. Design of robust control system for underwater vehicle[J]. Journal of Shanghai Jiaotong University, 1999, 33(11): 1348-1351.
[7] FOSSEN T I. Guidance and control of ocean vehicles[M]. New York: Wiley, 1994.
[8] 丰少伟, 彭鹏菲, 姜俊. 基于模糊控制的水下潜器沉浮控制方法[J]. 电子设计工程, 2011, 19(5): 19-21, 25.FENG Shao-wei, PENG Peng-fei, JIANG Jun. Ups and downs control method of underwater submersible vehicle based on fuzzy control[J]. Electronic Design Engineering, 2011, 19(5): 19-21, 25.
[9] 邓春楠, 葛彤, 吴超. 基于高阶滑模控制器的水下潜器运动控制[J]. 海洋工程, 2013, 31(6): 53-58, 96.DENG Chun-nan, GE Tong, WU Chao. Underwater vehicle motion control based on high order sliding controller[J]. The Ocean Engineering, 2013, 31(6): 53-58, 96.
[10] PODLUBNY I, DORCAK L, KOSTIAL I. On fractional derivatives, fractional-order dynamic systems and PIλDμ controllers[C]//Proceedings of the 36th IEEE Conference on Decision and Control. San Diego, USA: IEEE, 1997.
[11] 李光宇, 郭晨, 李延新. 基于改进粒子群算法的USV航向分数阶控制[J]. 系统工程与电子技术, 2014, 36(6): 1146-1151.LI Guang-yu, GUO Chen, LI Yan-xin. Fractional-order control of USV course based on improved PSO algorithm[J]. Systems Engineering and Electronic, 2014, 36(6): 1146-1151.
[12] FAIEGHI M R, NADERI M, JALALI A A. Design of Fractional-Order PID for ship roll motion control using chaos embedded PSO algorithm[C]//Proceedings of the 2nd International Conference on Control, Instrumentation and Automation (ICCIA). Shiraz, Iran: IEEE, 2011: 606-610.
[13] 李志民, 孙其振, 孙勇, 等. 基于BF-PSO的船舶电站柴油机分数阶控制器[J]. 控制工程, 2012, 19(3): 515-518.LI Zhi-min, SUN Qi-zhen, SUN Yong, et al. Design of fractional-order controller for diesel engine system based on BF-PSO[J]. Control Engineering of China, 2012, 19(3): 515-518.
[14] 薛定宇, 陈阳泉. 高等应用数学问题的MATLAB求解(3版)[M]. 北京: 清华大学出版社, 2013.
[15] 薛定宇. 控制系统计算机辅助设计-MATLAB语言与应用(3版)[M]. 北京: 清华大学出版社, 2012.
[16] ZHANG X K, JIN Y C. Transfigured loop shaping controller and its application to underwater vehicle[J]. International Journal of Automation and Computing, 2005, 2(1): 48-51.