Abstract:A robust H∞ filter is developed for the heading control system of an autonomous underwater vehicle(AUV) to estimate some state variables which are not always available and are often difficult to measure in practice,and we extend the filter’s application to the AUV heading control system.The equations of the AUV motions in the body-fixed horizontal plane are established,and they are linearized over a specified operating point to suit for the controller design.A robust H∞ filter for the AUV heading control system is designed based on the method of linear matrix inequalities(LM Is),and its application to the AUV heading control system is simulated by computer.The simulation results show that the proposed robust H∞ filter is effective to reject the negative effects of measurement noise and properly estimate the state variables of the system,and it makes much contribution to the performance improvement of the AUV heading control system.
[1] 俞立.鲁棒控制——线性矩阵不等式处理方法[M].北京:清华大学出版社,2002. [2] 陈厚泰.潜艇操作性[M].北京:国防工业出版社,1981. [3] 王新屏,张显库,张丽坤.H∞鲁棒滤波器与Kalman滤波器的对比[J].系统工程与电子技术,2003,25(10):1267-1269. [4] Zhong M Y, Zhang C H, Ding S X. Design of robust fault detection filter for uncertain linear system with modeling errors [J]. Control Theory & Application, 1994, 20(5):788-792. [5] 席斌,吴铁军.观测器型H∞控制器设计的LMI方法[J].自动化学报,1999,25(4):509-512. [6] 刘立恒,邓正隆.惯导系统初始对准的H∞滤波器设计[J].中国惯性技术学报,2003,11(1):15-18. [7] Mattel M. An LMI approach to the design of a robust observer with application to a temperature control problem for space vehicle testing [J]. Automatica, 2001,37(12):1979-1987