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11.12.2023

Positive Real Lemmas for Fractional-Order Two-Dimensional Roesser Model: The \(0< \rho _1\le 1,0<\rho _2\le 1\) Case

verfasst von: Jia-Rui Zhang, Jun-Guo Lu

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 4/2024

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Abstract

This paper investigates the positive realness of continuous fractional-order (FO) two-dimensional (2D) Roesser model with the FO \(\rho _1\in (0,1],\rho _2\in (0,1]\). A sufficient condition that ensures that the continuous FO 2D Roesser model is stable and positive real is given as linear matrix inequalities (LMIs). Then, the positive real control problem for continuous FO 2D Roesser model with state feedback and dynamic output feedback controllers is addressed. The sufficient conditions are given in LMI form, and the parameters of the controllers can be achieved from the solution of the LMIs easily. Finally, the validity of the results is checked by several examples.

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Metadaten
Titel
Positive Real Lemmas for Fractional-Order Two-Dimensional Roesser Model: The Case
verfasst von
Jia-Rui Zhang
Jun-Guo Lu
Publikationsdatum
11.12.2023
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 4/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-023-02560-7