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Solving of the Static Output Feedback Synthesis Problem in a Class of Block-Homogeneous Matrices of Input and Output

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Mathematical Modeling and Supercomputer Technologies (MMST 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1750))

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Abstract

The paper studies the static output feedback synthesis problem solving for unstable linear continuous stationary systems. The problem solution in a special class of input and output matrices is proposed. It is assumed that input and output matrices can be represented as block matrices, one of the block of which is a square matrix of full rank, and the second block is a zero matrix. The necessary condition for stabilization using static output feedback is the existence of a stable diagonal block of arbitrary dimension in the matrix of the system. There are determined some special cases when the problem is solvable. The possible solutions of the synthesis problem with the given input matrix and the given output dimension are considered. It is shown that the problem of static output feedback synthesis can be reduced to solving an auxiliary problem of convex optimization with constraints given in the form of linear matrix inequality.

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Authors and Affiliations

  1. Lobachevsky State University, Nizhny Novgorod, Russia

    A. V. Mukhin

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  1. A. V. Mukhin
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Correspondence to A. V. Mukhin .

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Editors and Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Dmitry Balandin

  2. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Konstantin Barkalov

  3. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Iosif Meyerov

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Mukhin, A.V. (2022). Solving of the Static Output Feedback Synthesis Problem in a Class of Block-Homogeneous Matrices of Input and Output. In: Balandin, D., Barkalov, K., Meyerov, I. (eds) Mathematical Modeling and Supercomputer Technologies. MMST 2022. Communications in Computer and Information Science, vol 1750. Springer, Cham. https://doi.org/10.1007/978-3-031-24145-1_17

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  • DOI: https://doi.org/10.1007/978-3-031-24145-1_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-24144-4

  • Online ISBN: 978-3-031-24145-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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