Least square simulation and hierarchical optimal control of distributed parameter systems

  • Ahn, Doo-Soo (Department of Electrical Engineering, Sung Kyun Kwan Univ., Seoul, Korea) ;
  • Lee, Myung-Kyu (Department of Electrical Engineering, Sung Kyun Kwan Univ., Seoul, Korea) ;
  • OH, Min-Hwan (Department of Electrical Engineering, Sung Kyun Kwan Univ., Seoul, Korea) ;
  • Bae, Jong-Il (Department of Electrical Engineering, Technology of Busan National College) ;
  • Shim, Jae-Sun (Department of Electrical Engineering, Technical College of Sam Chuck)
  • Published : 1990.10.01

Abstract

This paper presents a method for the optimal control of the distributed parameter systems (DPSs) by a hierarehical computational procedure. Approximate lumped parameter systems (LPSs) are derived by using the Galerkin method employing the Legendre polynomials as the basis functions. The DPSs however, are transformed into the large scale LPSs. And thus, the hierarchical control scheme is introduced to determine the optimal control inputs for the obtained LPSs. In addition, an approach to block pulse functions is applied to solve the optimal control problems of the obtained LPSs. The proposed method is simple and efficient in computation for the optimal control of DPSs.

Keywords