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H-infinity Control for Preview Tracking

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Abstract:
In the design of control systems, the preview of reference signal is effective for improving the performance of closed loop system. In the servo or tracking control problems, the benefit of preview has been studied from the viewpoint of control theory andapplications. In this talk, we discuss an H-infinity preview control problem in the infinite-time horizon setting and characterize the solvability and analytic solution in the framework of finite-dimensional operations. The objective is to clarify the strength and limitation of preview control strategy in terms of H-infinity criterion and obtain a basic tool for the loop shaping procedure of preview control systems. In the infinite-time horizon setting, we first define a preview full-information control problem (preview FI-problem) and clarify the solvability and analytic solution in the framework of finite-dimensional operations. Secondly, we generalize the results for output feedback problems and characterize the solvability and solution (control law) based on the result of preview FI-problem. Introducing numerical examples, we illustrate the strength and limitation of preview action and provide some interpretations on the relation between the length of preview time and the resulting H-infinity performance.

Type of Seminar:
Public Seminar
Speaker:
Assoc. Prof. Dr. Akira KOJIMA
Dept. Electronic Systems Engineering Tokyo Metropolitan Institute of Technology Asahigaoka 6-6, Hino-city, Tokyo 191, JAPAN and Automatic Control Lab., ETH-Zentrum, ETL I 13, CH-8092 Zurich
Date/Time:
Sep 06, 2000   17:00
Location:

ETL K 25, ETH Zentrum, Physikstrasse 3, 8006 Zurich
Contact Person:

Prof. Manfred Morari
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Biographical Sketch:
Akira Kojima was born in Shizuoka, Japan, in 1965. He is currently an Associate Professor at Tokyo Metropolitan Institute of Technology (Hino-city, Tokyo) and an Academic Guest at Automatic Control Laboratory, ETH. He received B.S, M.S., and Dr.Eng. degrees in Electrical Engineering from Waseda University, Tokyo, Japan, in 1987, 1989 and 1991 respectively. In April 1991, he joined the Department of Electronic Systems Engineering, Tokyo Metropolitan Institute of Technology. Since April 1997, he has been an Associate Professor at Tokyo Metropolitan Institute of Technology. His research interests include Robust Control, Preview/Predictive Control, and Control Theory for Infinite-dimensional Systems. He received Young authors prize in 1992, Outstanding paper award (Takeda Prize) in 1996 from Society of Instrument and Control Engineers, Japan (SICE) . He is a member of SICE, Institute of Systems, Control and Information Engineers, Japan (ISCIE), and IEEE.