17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract


Paper TuP11.2

Miyasato, Yoshihiko (The Inst. of Statistical Mathematics)

Model Reference Adaptive H-Infinity Control for Distributed Parameter Systems of Parabolic Type by Finite Dimensional Controllers

Scheduled for presentation during the Regular Session "Adaptive and Learning Control" (TuP11), Tuesday, July 25, 2006, 15:45−16:10, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Keywords Model reference control, Robust adaptive control, Control of distributed parameter systems


The problem of constructing model reference adaptive H-infinity control for distributed parameters systems of parabolic type is considered in this paper. Distributed parameters systems are infinite dimensional processes, but the proposed control scheme is constructed from finite dimensional controllers instead of infinite ones. The stabilizing control signal is added to regulate the effect of spill-over terms, and it is derived as a solution of certain H-infinity control problem where spill-overs are considered as external disturbances to the process. The proposed methodology provides systematic procedures of constructing finite dimensional adaptive controllers for several kinds of distributed parameter systems, and the present paper shows the first step of those approaches.