On the μ-analysis and synthesis for uncertain time-delay systems with Padé approximations

Pinheiro, Rafael Fernades; Colón, Diego

http://hdl.handle.net/10400.8/9953

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Authors

Pinheiro, Rafael Fernades

Colón, Diego

Abstract(s)

Real problems in control engineering usually involve many uncertainties and delays. In the search for solutions which deal more adequately with these problems, this paper presents contributions to the theory of the -analysis and synthesis applied to uncertain linear fixed time time-delay systems by using Padé approximations. A new necessary and sufficient condition for robust stability for a class of uncertain time-delay systems is presented. From this condition, a novel robust controller synthesis technique is obtained. Furthermore, contributions are presented on the convergence theory of Padé approximations applied to the -theory via parametrized optimization technique. In order to better understand the theory presented and verify the effectiveness of the results, examples and comparisons are proposed. Finally, in the conclusions, new lines of research and application are pointed out.

Description

This work was funded by Portuguese national funds, Portugal provided by Fundação para a Ciência e Tecnologia (FCT-UIDB/05704/2020) and in the scope of the research project 2 ARTs - Acessing Autonomic Control in Cardiac Rehabilitation (PTDC/EMD-EMD/6588/2020) co-financed by the Portuguese Foundation for Science and Technology (FCT), Portugal.

Keywords

Robust control Structured singular value μ-analysis and synthesis Time-delay systems Uncertain TDS

URI

http://hdl.handle.net/10400.8/9953

Citation

Pinheiro, R. & Colón, D. (2024). On the μ-analysis and synthesis for uncertain time-delay systems with Padé approximations. Journal of the Franklin Institute, 361(4): 106643. https://doi.org/10.1016/j.jfranklin.2024.01.044.