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A Nash Game Approach to Mixed H2/H∞ Model Predictive Control: Part 3 – Output Feedback Case

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Abstract

In this paper, the state-feedback Nash game based mixed H2/H∞ design[1, 2] has been extended for output feedback case. The algorithm is applied to control bioreactor system with a Laguerre-Wavelet Network (LWN)[3, 4] model of the bioreactor. This is achieved by using the LWN model as a deviation model and by successively linearising the deviation model along the state trajectory. For reducing the approximation error and to improve the controller performance, symbolic derivation algorithm, viz., automatic differentiation is employed. A cautionary note is also given on the fragility of the output feedback mixed H2/H∞ model predictive controller[4, 5] due to its sensitivity to its own parametric changes.

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References

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  2. Pakkiriswamy Aadaleesan and Prabirkumar Saha. A Nash game approach to mixed H 2/H ∞ model predictive control: Part 2 – Stability and Robustness. International Journal of Dynamics and Control, DOI: 10.1007/s40435-016-0259-5, to be pulbished.

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Authors and Affiliations

  1. Department of Chemical Engineering, Indian Institute of Technology Guwahati, Assam, 781039, India

    Pakkiriswamy Aadaleesan & Prabirkumar Saha

Authors
  1. Pakkiriswamy Aadaleesan
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  2. Prabirkumar Saha
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Correspondence to Prabirkumar Saha.

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Recommended by Associate Editor Dong-Li Yu

Pakkiriswamy Aadaleesan received the B.Eng. degree in electronics & instrumentation engineering from Bharathidasan University, India in 2001 and the M. Eng. degree in control systems & instrumentation engineering from SASTRA University degree in 2005. He received the Ph.D. degree in chemical engineering from the Indian Institute of Technology Guwahati, specializing in control systems and system identification, India in 2011. Post-Ph.D., prior to joining his present job, he worked at the research department of ABB for almost three years. Currently, he is a senior assistant professor in the School of Electrical and Electronic Engineering at SASTRA University, Thanjavur, India. He is a member of IEEE.

Prabirkumar Saha received the B.Eng. degree in chemical engineering from Jadavpur University, India in 1992 and his M. Eng. and Ph.D. degrees in chemical engineering from the Indian Institute of Technology Madras, in 1994 and 1998, respectively. He has got 15 years of post-Ph.D. experience both in industry and academia. Prior to joining his present job, he had undertaken professional responsibilities at the National University of Singapore, General Electric (USA) and Cranfield University (England). Currently, he is a professor in the Department of Chemical Engineering at Indian Institute of Technology Guwahati, India. He has published about 70 refereed journal and conference papers. He is a recipient of Fulbright-Nehru Award for International Education Administrators. He is a member of American Institute of Chemical Engineers.

His research interests include process control and liquid membrane based separation process.

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Aadaleesan, P., Saha, P. A Nash Game Approach to Mixed H2/H∞ Model Predictive Control: Part 3 – Output Feedback Case. Int. J. Autom. Comput. 15, 616–624 (2018). https://doi.org/10.1007/s11633-016-0969-3

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