A new algorithm applied in Control-Relevant Discretization of Nonlinear Systems

  • Zhang, Qiang (Division of Electronics and Information Engineering, Chongbuk National University) ;
  • Zhang, Changlei (Division of Electronics and Information Engineering, Chongbuk National University) ;
  • Gao, Yu (Division of Electronics and Information Engineering, Chongbuk National University) ;
  • Chong, Kil-To (Division of Electronics and Information Engineering, Chongbuk National University)
  • Published : 2006.06.21

Abstract

In this paper, we propose an attractive novel numerical int egration method that is largely devoid of ill conditioning and is suitable for any nonlinear problem. Since the method is exact for linear problems, it is especially precise for quasilinear problems, which are frequently encountered in the real world. The method is based on a new approach to the computat ion of a matrix exponential. It does not require excessive computational resources and lends itself to a short and robust piece of software that can be easily inserted into large simulation packages.

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