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Robust Stability and Pole Placement

An Application of Parametric Interval Analysis

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Abstract

In this paper, we propose an integration of classic and parametric interval analysis methods for addressing robust stability and robust pole placement problems associated with linear dynamic systems with interval parameters. In order to reduce the conservatism of classic interval analysis and synthesis methods due to the parameter dependency phenomenon, we adopt a less conservative approach that explicitly considers multi-incident interval parameters. The paper includes numerical experiments which illustrates the characteristics and properties of the proposed methods, as well as their application to the control of an interval gyroscope system.

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Acknowledgements

This work was sponsored by the National Council for Scientific and Technological Development (CNPq), Brazil, Grants 159829/2013-5 and 307926/2009-5.

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  1. Heloise Assis Fazzolari

    Present address: Engineering, Modeling and Applied Social Sciences Center - CECS, Federal University of ABC - UFABC, Av. dos Estados, 5001, Santo André- SP, Brazil

Authors and Affiliations

  1. School of Electrical and Computer Engineering, University of Campinas, Campinas, 13083-852, Brazil

    Heloise Assis Fazzolari & Paulo Augusto Valente Ferreira

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  1. Heloise Assis Fazzolari
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  2. Paulo Augusto Valente Ferreira
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Correspondence to Heloise Assis Fazzolari.

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Fazzolari, H.A., Ferreira, P.A.V. Robust Stability and Pole Placement. J Control Autom Electr Syst 32, 1498–1509 (2021). https://doi.org/10.1007/s40313-021-00798-7

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  • DOI: https://doi.org/10.1007/s40313-021-00798-7

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