A modified highly precise direct integration method for a class of linear time-varying systems

作者：Liu XiaoMei^*; Zhou Gang; Zhu Shuai; Wang YongHong; Sun WeiRong; Weng ShiLie

来源：Science China Physics,Mechanics & Astronomy, 2014, 57(7): 1382-1389.

DOI：10.1007/s11433-013-5289-9

• linear time-varying system
• highly precise direct integration
• state transfer matrix
• Runge-Kutta method

It is always a bottleneck to design an effective algorithm for linear time-varying systems in engineering applications. For a class of systems, whose coefficients matrix is based on time-varying polynomial, a modified highly precise direct integration (VHPD-T method) was presented. Through introducing new variables and expanding dimensions, the system can be transformed into a time-invariant system, in which the transfer matrix can be computed for once and used forever with a highly precise direct integration method. The method attains higher precision than the common methods (e.g. RK4 and power series) and high efficiency in computation. Some numerical examples demonstrate the validity and efficiency of the method proposed.

• 出版日期2014-7
• 单位上海交通大学