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Dual‐rate control system extension using the null space of a closed‐loop system
Author(s) -
Yasui Ryota,
Kawaguchi Natsuki,
Sato Takao,
Araki Nozomu,
Konishi Yasuo
Publication year - 2020
Publication title -
ieej transactions on electrical and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 30
eISSN - 1931-4981
pISSN - 1931-4973
DOI - 10.1002/tee.23035
Subject(s) - control theory (sociology) , loop gain , ripple , control system , dual loop , open loop controller , loop (graph theory) , steady state (chemistry) , lti system theory , computer science , closed loop , linear system , mathematics , control engineering , engineering , control (management) , voltage , mathematical analysis , chemistry , combinatorics , artificial intelligence , electrical engineering
The present paper discusses a design method for a single‐input single‐output linear time‐invariant dual‐rate sampled‐data control system, where the sampling interval of a plant output is longer than the holding interval of a control input. In such a control system, intersample output oscillation, called ripple, can occur even if the sampled output converges to the reference input. In order to resolve this problem, two design methods have been proposed such that the existing sampled output response is maintained: an open‐loop system design method and a closed‐loop system design method. However, the open‐loop design method cannot be applied to systems for which the gain matrix of the control input is full rank. On the other hand, the closed‐loop design method can be used for such systems, but the sampled output response is maintained only in the steady state. The present study proposes a new closed‐loop design method in which ripples are eliminated and both the transient and steady‐state responses are maintained. The effectiveness of the proposed method is demonstrated through numerical examples. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.