Nonlinear H∞ Guidance Law Design for Near Space Interceptor based on Galerkin Simultaneous Policy Update Algorithm

摘要：

　　In this paper,the nonlinear H∞ guidance law design is proposed for the near space interceptor (NSI) based on Galerkin simultaneous policy update algorithm (GSPUA).Initially,the nonlinear H∞ guidance law design problem for the NSI is converted to solve the Hamilton-Jacobi-Isaacs (HJI) equation,which is notoriously difficult to solve both numerically and analytically.In the two-player zero-sum differential game theory,where the control player desires to minimize the cost function and the disturbance player desires to maximize it.Then,a simultaneous policy update algorithm (SPUA) is developed to solve the HJI equation,in which the control and disturbance policies are updated simultaneously.Furthermore,the SPUA is implemented based on the Galerkin’s method,where the Lyapunov function equations (LFEs) in the iterative process of SPUA are solved.Finally,simulation results on the NSI demonstrate that the proposed nonlinear H∞ Guidance law is effective.

关键词： Near space interceptor (NSI) Nonlinear H∞ control Hamilton-Jacobi-Isaacs (HJI) equation Galerkin simultaneous policy update algorithm (GSPUA) Guidance

作者: GUO Chao LIANG Xiao-Geng LUO Biao

作者单位: School of Automation,Northwestern Polytechnical University,Xian 710072,China School of Automation,Northwestern Polytechnical University,Xian 710072,China;Luoyang Optoelectro Te State Key Laboratory of Management and Control for Complex Systems,Institute of Automation,Chinese A

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 636-641

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）