Dynamic Output Feedback of Second-Order Systems: An Observer-Based Controller with LMI Design

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Titel: Dynamic Output Feedback of Second-Order Systems: An Observer-Based Controller with LMI Design
Autoren: Danielle Gontijo, José Mário Araújo, Luciano Frezzato, Fernando de Oliveira Souza
Verlagsinformationen: MDPI AG, 2024.
Publikationsjahr: 2024
Beschreibung: This paper presents an observer-based dynamic output feedback controller design procedure using Linear Matrix Inequality (LMI) optimization for second-order systems with uncertainty and persistent perturbation in the states. Using linear-quadratic criteria, cost functions are minimized in a two-stage procedure to compute optimal state feedback gains, and observer gains are coupled into a dynamic output feedback optimal controller. The LMI set used in the two stages is matrix inversion-free, a key issue for polytope formulation when uncertainty is present. The approach is tested in a mobile inverted pendulum robotic platform, and the effectiveness is verified in this underactuated and undesensed case.
Publikationsart: Article
DOI: 10.20944/preprints202405.0526.v1
Rights: CC BY
Dokumentencode: edsair.doi...........957e5a2ec61ca80bcd6b9f77897ffa68
Datenbank: OpenAIRE
Beschreibung
Abstract:This paper presents an observer-based dynamic output feedback controller design procedure using Linear Matrix Inequality (LMI) optimization for second-order systems with uncertainty and persistent perturbation in the states. Using linear-quadratic criteria, cost functions are minimized in a two-stage procedure to compute optimal state feedback gains, and observer gains are coupled into a dynamic output feedback optimal controller. The LMI set used in the two stages is matrix inversion-free, a key issue for polytope formulation when uncertainty is present. The approach is tested in a mobile inverted pendulum robotic platform, and the effectiveness is verified in this underactuated and undesensed case.
DOI:10.20944/preprints202405.0526.v1