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Optimal Guaranteed Cost Control of an Uncertain and Shift-Delayed 2-D Discrete FM First Model via Memory State Feedback

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Advances in VLSI, Communication, and Signal Processing

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 911))

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Abstract

In the addressed issue, we aimed in ensuring the stability of an uncertain two-dimensional discrete system as represented by the Fonasni-Marchesini first model. The uncertainty considered in the addressed issue is norm-bounded uncertainty. Using Lyapunov method and memory state feedback technique, a new criterion has been developed in terms of the solution of certain linear matrix inequalities. By recasting the problem as a convex optimization problem, optimal guaranteed cost controllers have been selected to minimize the upper bound on the closed-loop cost function. The proposed technique’s effectiveness has also been demonstrated by considering two different examples of Industrial processes.

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Authors and Affiliations

  1. SEEE, Vellore Institute of Technology (VIT) University, Bhopal-Indore Highway Kothrikalan, Sehore, 466114, Madhya Pradesh, India

    Govind Prasad Pandiya, Abhay Vidyarthi & R. Maheswar

  2. ECED, Motilal Nehru National Institute of Technology Allahabad, Pryagraj, 211004, Uttar Pradesh, India

    Manish Tiwari & Amit Dhawan

Authors
  1. Govind Prasad Pandiya
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  2. Abhay Vidyarthi
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  3. Manish Tiwari
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  4. Amit Dhawan
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  5. R. Maheswar
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Corresponding author

Correspondence to Govind Prasad Pandiya .

Editor information

Editors and Affiliations

  1. Electronics and Communication, Motilal Nehru National Institute of Technology, Allahabad, India

    Amit Dhawan

  2. Electronics and Communication, Motilal Nehru National Institute of Technology, Allahabad, India

    R. A. Mishra

  3. Information and Communication Technology, ABV-Indian Institute of Information Technology and Management, Gwalior, India

    Karm Veer Arya

  4. Department of EEC Engineering, Universidad Publica de Navarra, Pamplona, Spain

    Carlos Ruiz Zamarreño

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Pandiya, G.P., Vidyarthi, A., Tiwari, M., Dhawan, A., Maheswar, R. (2022). Optimal Guaranteed Cost Control of an Uncertain and Shift-Delayed 2-D Discrete FM First Model via Memory State Feedback. In: Dhawan, A., Mishra, R.A., Arya, K.V., Zamarreño, C.R. (eds) Advances in VLSI, Communication, and Signal Processing. Lecture Notes in Electrical Engineering, vol 911. Springer, Singapore. https://doi.org/10.1007/978-981-19-2631-0_36

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  • DOI: https://doi.org/10.1007/978-981-19-2631-0_36

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-2630-3

  • Online ISBN: 978-981-19-2631-0

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