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International Journal of Automation and Computing 2018, Vol. 15 Issue (5) :616-624    DOI: 10.1007/s11633-016-0969-3
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A Nash Game Approach to Mixed H2/H Model Predictive Control: Part 3-Output Feedback Case
Pakkiriswamy Aadaleesan, Prabirkumar Saha
Department of Chemical Engineering, Indian Institute of Technology Guwahati, Assam 781039, India
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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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KeywordsRobust model predictive control, mixed H2/H&infin   control, Nash game, output feedback model predictive control (MPC), automatic differentiation, fragility of controller     
Received: 2013-11-27; published: 2014-10-27
Corresponding Authors: Prabirkumar Saha     Email: p.saha@iitg.ac.in
About author: Pakkiriswamy Aadaleesan is a senior assistant professor in the School of Electrical and Electronic Engineering at SASTRA University,Thanjavur, India.He is a member of IEEE. E-mail:aadaleesan@eie.sastra.edu ORCID iD:0000-0001-7395-302X;Prabirkumar Saha research interests include process control and liquid membrane based separation process. E-mail:p.saha@iitg.ac.in (Corresponding author) ORCID iD:0000-0002-1121-1829
Cite this article:   
Pakkiriswamy Aadaleesan, Prabirkumar Saha. A Nash Game Approach to Mixed H2/H Model Predictive Control: Part 3-Output Feedback Case[J]. International Journal of Automation and Computing , vol. 15, no. 5, pp. 616-624, 2018.
URL:  
http://www.ijac.net/EN/10.1007/s11633-016-0969-3      或     http://www.ijac.net/EN/Y2018/V15/I5/616
 
[1] Pakkiriswamy Aadaleesan and Prabirkumar Saha. A Nash game approach to mixed H2/H model predictive control:Part 1-State feedback linear system. International Journal of Dynamics and Control, DOI:10.1007/s40435-016-0261-y, to be published.
[2] Pakkiriswamy Aadaleesan and Prabirkumar Saha. A Nash game approach to mixed H2/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.
[3] P. Aadaleesan, N. Miglani, R. Sharma, P. Saha. Nonlinear system identification using Wiener type LaguerreWavelet network model. Chemical Engineering Science, vol. 63, no. 15, pp. 3932-3941, 2008.
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