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On a stability of minimum variance control
Author(s) -
Mori Yasuchika,
Asami Futoshi
Publication year - 2007
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.20472
Subject(s) - minimum variance unbiased estimator , control theory (sociology) , controller (irrigation) , minimum phase , stability (learning theory) , variance (accounting) , control system , delta operator , domain (mathematical analysis) , function (biology) , sampling (signal processing) , control (management) , time domain , phase (matter) , computer science , transfer function , mathematics , control engineering , engineering , statistics , extension (predicate logic) , artificial intelligence , telecommunications , mathematical analysis , shift operator , business , compact operator , chemistry , detector , biology , accounting , machine learning , evolutionary biology , mean squared error , agronomy , computer vision , programming language , organic chemistry , electrical engineering
Self‐tuning control (STC) is a control technique to adjust the parameter of the on‐line controller which adapts itself when plant parameter changes. Effective ways to design STC include minimum‐variance control (MVC), generalized minimum‐variance control (GMVC), and generalized predicted control (GPC). The structure of MVC and GMVC is especially easy and manageable. It is necessary to use MVC so that a plant is a minimum phase system and stable in the discrete time‐domain. But, in general the actual controlled system is in continuous time. Then, when digitizing is performed, it sometimes becomes a non‐minimum phase system. If we set the sampling time very low, an MVC controller has unstable poles. In this paper, we propose an MVC design for a plant which is stable and a minimum phase system in a continuous time domain by introducing a delta operator and weight adjustment of the cost function. Then, we evaluate its stability. © 2007 Wiley Periodicals, Inc. Electr Eng Jpn, 159(1): 17–25, 2007; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20472