Optimal control of a tubular reactor using the distributed-parameter method and the numerical method of lines

  • Choe, Young-Soon (Automation Research Center, Dept. of Chemical Engineering, Pohang University of Science and Technology, Pohang, Kyunbuk) ;
  • Yang, Dae-Ryook (Automation Research Center, Dept. of Chemical Engineering, Pohang University of Science and Technology, Pohang, Kyunbuk) ;
  • Lee, In-Beum (Automation Research Center, Dept. of Chemical Engineering, Pohang University of Science and Technology, Pohang, Kyunbuk) ;
  • Chang, Kun-Soo (Automation Research Center, Dept. of Chemical Engineering, Pohang University of Science and Technology, Pohang, Kyunbuk)
  • Published : 1993.10.01

Abstract

Optimal control theories based on the maximum principles have been evolved and applied to distributed parameter systems(DPSs) represented by partial differential equations (PDEs) and integral equations (IEs). This paper intends to show that an optimal control of a tubular reactor described by a one-dimensional partial differential equation was obtained using the distributed parameter control method for parabolic PDEs. In develping an algorithm which implements the calculation, the method of lines (MOL) was adopted through using a package called the DSS/2. For the tubular reactor system chosen for this paper, the optimal control method based on PDEs with the numerical MOL showed to be more efficient than the one based on IEs.

Keywords