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State-shared model for multiple-input multiple-output systems

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Abstract

This work proposes a method to construct a state-shared model for multiple-input multiple-output (MIMO) systems. A state-shared model is defined as a linear time invariant state-space structure that is driven by measurement signals-the plant outputs and the manipulated variables, but shared by different multiple input/output models. The genesis of the state-shared model is based on a particular reduced non-minimal realization. Any such realization necessarily fulfills the requirement that the output of the state-shared model is an asymptotically correct estimate of the output of the plant, if the process model is selected appropriately. The approach is demonstrated on a nonlinear MIMO system — a physiological model of calcium fluxes that controls muscle contraction and relaxation in human cardiac myocytes.

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Authors and Affiliations

  1. Department of Chemical Engineering, Texas Tech University, Lubbock, TX, USA

    Zhenhua Tian & Karlene A. Hoo

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  1. Zhenhua Tian
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  2. Karlene A. Hoo
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Additional information

This work was supported by the National Science Foundation of China (No. CTS-9703252).

Zhenhua TIAN was born in China. He received the B. S. degree in applied mathematics and the M. S. degree in chemical engineering from Beijing University of Chemical Technology in 1991 and 1994, respectively. He received the Ph. D. degree in chemical engineering from Texas Tech University in 2003. From July 2003, Dr. Tian served as the Research Engineer in Abengoa Bioenergy Corporation. Dr. Tian has interests in linear system theory, model predictive transition control, nonlinear system modeling and plant-wide optimization. Dr Tian is a member of AIChE.

Karlene A Hoo received her B. S. degrees in chemical engineering from the University of Pennsylvania and her M.S. and Ph. D. in chemical engineering from the University of Notre Dame. She is a full Professor of Chemical Engineering and Associate Dean of Research in the College of Engineering at Texas Tech University. Dr. Hoo’s research interests are in nonlinear and linear control, system identification and model reduction, automated control and plant-wide optimization, and systems biology. She is an Associate Editor of IEEE Control Systems Magazine and Instrumentation, Systems and Automation Transactions. E-mail: Karlene.Hoo@ttu.edu.

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Tian, Z., Hoo, K.A. State-shared model for multiple-input multiple-output systems. J. Control Theory Appl. 3, 348–356 (2005). https://doi.org/10.1007/s11768-005-0023-4

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  • DOI: https://doi.org/10.1007/s11768-005-0023-4

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