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Two-step design of critical control systems using disturbance cancellation integral controllers

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Abstract

An efficient critical control system design is proposed in this paper. The key idea is to decompose the design problem into two simpler design steps by the technique used in the classical loop transfer recovery method (LTR). The disturbance cancellation integral controller is used as a basic controller. Since the standard loop transfer recovery method cannot be applied to the disturbance cancellation controller, the nonstandard version recently found is used for the decomposition. Exogenous inputs with constraints both on the amplitude and rate of change are considered. The majorant approach is taken to obtain the analytical sufficient matching conditions. A numerical design example is presented to illustrate the effectiveness of the proposed design.

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Authors and Affiliations

  1. Faculty of Science and Technology, Fukushima University, Fukushima, 960-1296, Japan

    Tadashi Ishihara

  2. Graduate School of Information Sciences, Hiroshima City University, Hiroshima, 731-3194, Japan

    Takahiko Ono

Authors
  1. Tadashi Ishihara
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  2. Takahiko Ono
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Corresponding author

Correspondence to Tadashi Ishihara.

Additional information

This work was supported by Grants-in-Aid for Scientific Research (No. 20560209).

Tadashi Ishihara received the Ph.D. degree in electrical engineering from Tohoku University, Sendai, Japan in 1979. From 1977 to 1987, he has been a research associate at the Department of Electrical Engineering, Tohoku University. Form 1987 to 1993, he has been an associate professor in the Department of Mechanical Engineering, Tohoku University. From 1993 to 2003, he has been an associate professor in Graduate School of Information Sciences, Tohoku University. Currently, he is a professor in the Faculty of Science and Technology, Fukushima University, Fukushima, Japan.

His research interests include robust control, stochastic adaptive control, and control system design based on the principle of matching.

Takahiko Ono received B.Eng. degree in mechanical engineering from Tohoku University, Japan in 1994 and M. Info. Sc. and Ph.D. degrees in information science from Tohoku University in 1996 and 1999, respectively. He has been a research associate at Tohoku University from 1999 to 2004. Currently, he is an associate professor at Graduate School of Information Sciences, Hiroshima City University, Japan.

His research interests include robust control, critical control, optimal filtering theory and analysis, and modelling of human reactions to acceleration in vehicle transportation.

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Ishihara, T., Ono, T. Two-step design of critical control systems using disturbance cancellation integral controllers. Int. J. Autom. Comput. 8, 37–45 (2011). https://doi.org/10.1007/s11633-010-0552-2

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  • DOI: https://doi.org/10.1007/s11633-010-0552-2

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