Statically compensated modal approximation of a class of distributed parameters systems

  • Imai, Jun (Department of Electrical Engineering, Kyushu Univ.) ;
  • Wada, Kiyoshi (Department of Electrical Engineering, Kyushu Univ.) ;
  • Sagara, Setsuo (Department of Information Science, Fukuoka Institute of Technology)
  • Published : 1995.10.01

Abstract

A finite-dimensional approximation technique is developed for a class of spectral systems with input and output operators which are unbounded. A corresponding bounding technique on the frequency-response error is also established for control system design. Our goal is to construct an uncertainty model including a nominal plant and its error bounds so that the results from robust linear control theory can be applied to guarantee a closed loop control performance. We demonstrate by numerical example that these techniques are applicable, with a modest computational burden, to a wide class of distributed parameter system plants.