Title :
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
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;
Conference_Titel :
Industrial Electronics, Control and Instrumentation, 1994. IECON '94., 20th International Conference on
Conference_Location :
Bologna
Print_ISBN :
0-7803-1328-3
DOI :
10.1109/IECON.1994.398071