Simple adaptive control for distributed parameter systems by finite dimensional controllers

Author

Sato, Yosuke ; Shida, Koichiro ; Fujikawa, Hideji ; Yamada, Shinichi

Author_Institution

Dept. of Electr. & Electron. Eng., Musashi Inst. of Technol., Tokyo, Japan

Volume

3

fYear

1994

fDate

5-9 Sep 1994

Firstpage

1712

Abstract

Investigates the application of simple adaptive control (SAG) to a heat-exchange system with distributed parameters. Recently, SAC has been investigated because of its easy implementation and robustness; but its application has been restricted to systems that satisfy the almost strictly positive real (ASPR) condition. In this paper, the authors first investigate the ASPR condition for an approximated finite dimension controlled object using the finite difference method (FDM) and the Galerkin method with sinusoidals and splines as trial functions. After that, using lumped parameters system (LPS) theory, the authors build an adaptive control system. Finally, the application´s problems are investigated by numerical simulation

Keywords

Galerkin method; adaptive control; control system synthesis; distributed parameter systems; finite difference methods; heat exchangers; multidimensional systems; splines (mathematics); Galerkin method; almost strictly positive real condition; approximated finite dimension controlled object; distributed parameter systems; finite difference method; finite dimensional controllers; heat-exchange system; lumped parameters system theory; simple adaptive control; sinusoidals; splines; Adaptive control; Control systems; Distributed parameter systems; Equations; Finite difference methods; Heat transfer; Moment methods; Polynomials; Temperature control; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics, Control and Instrumentation, 1994. IECON '94., 20th International Conference on

Conference_Location

Bologna

Print_ISBN

0-7803-1328-3

Type

conf

DOI

10.1109/IECON.1994.398071

Filename

398071