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Model order reduction of nonlinear models based on decoupled multi-model via trajectory piecewise linearization

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  • Control Theory and Applications
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Abstract

In this paper a novel model order reduction method for nonlinear models, based on decoupled multi-model, via trajectory piecewise-linearization is proposed. Through different strategies in trajectory piecewise-linear model reduction, model order reduction of a trajectory piecewise-linear model based on output weighting (TPWLOW), has been developed by authors of current work. The structure of mentioned work was founded based on Krylov subspace method, which is appropriate for high order models. Indeed the size of the Krylov subspaces may increase with the number of inputs of the system. As a result, the use of Krylov subspace method may become deficient the case for multi-input systems of order few decades. This paper aims to generalize the idea of model reduction of TPWLOW model by concentrating on balanced truncation technique which is appropriate for medium size systems. In addition, the proposed method either guarantees or provides guaranteed stability in some mentioned conditions. Finally, applicability of the reduced model, instead of high-order decoupled multi-model in weighting multi-model controllers, is investigated through the control of a nonlinear Alstom gasifier benchmark.

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Author information

Authors and Affiliations

  1. Electrical Engineering Department, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Seyed Saleh Mohseni

  2. Control and Intelligent Processing Center of Excellence (CIPCE), School of Electrical and Computer Engineering, University of Tehran, Tehran, Iran

    Mohamad Javad Yazdanpanah

  3. Control Engineering Department of Babol Noshirvani University of Technology, Babol, Iran

    Abolfazl Ranjbar Noei

Authors
  1. Seyed Saleh Mohseni
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  2. Mohamad Javad Yazdanpanah
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  3. Abolfazl Ranjbar Noei
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Corresponding author

Correspondence to Mohamad Javad Yazdanpanah.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Hamid Reza Karimi.

Seyed Saleh Mohseni received his B.Sc. degree in Bio-Electric Engineering from Sahand University of Technology, Tabriz, Iran, in 2006, an M.Sc. degree in Control Engineering from Malek Ashtar University of Technology, Tehran, Iran, in 2008, and a Ph.D. degree in Control Engineering from Science and Research Branch, Islamic Azad University, Tehran, Iran, in 2016. He is working as assistant professor at Islamic Azad University, Nour Branch, Nour, Iran. His research interests include nonlinear control, process control, and model reduction.

Mohammad Javad Yazdanpanah received his B.Sc., M.Sc., and Ph.D. degrees all in Electrical Engineering from Isfahan University of Technology, Isfahan, Iran in 1986, University of Tehran, Tehran, Iran, in 1988, and Concordia University, Montreal, Quebec, Canada in 1997, respectively. His Ph.D. thesis entitled “Control of flexible-link manipulators using nonlinear H∞ techniques” was ranked outstanding. From 1986 to 1992, he worked with the Engineering Research Center, Tehran, Iran, as an R&D engineer and culminating as the chairman of the System Design Division. In 1998, he joined the School of Electril and Computer Engineering, University of Tehran, Tehran, Iran, where he is now a Professor and director of the Advanced Control Systems Laboratory (ACSL). Dr. Yazdanpanah’s research interests are in the areas of analysis and design of nonlinear/optimal/adaptive control systems, robotics, control on networks, and theoreticcaal and practical aspects of neural networks.

Abolfazl Ranjbar Noei was born in Gorgan, Iran, in 1964. He received his B.Sc. in 1988 from Isfahan Univ. of Technology, Isfahan, IRAN, and an M.Sc. in 1992 from Tarbiat Modares Univ., Tehran, IRAN and a Ph.D. in 2000 from Surrey Univ. UK, all in the Control Engineering. Currently he is a professor at the Control Eng. Dept. of Babol Noshirvani Univ. of Tech., Babol, IRAN. His research Interests are machine control, nonlinear and chaos systems, robust and adaptive control and fractional calculus.

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Mohseni, S.S., Yazdanpanah, M.J. & Noei, A.R. Model order reduction of nonlinear models based on decoupled multi-model via trajectory piecewise linearization. Int. J. Control Autom. Syst. 15, 2088–2098 (2017). https://doi.org/10.1007/s12555-016-0536-2

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  • DOI: https://doi.org/10.1007/s12555-016-0536-2

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