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- Title
Positive Real Lemmas for Fractional-Order Two-Dimensional Roesser Model: The 0<ρ1≤1,0<ρ2≤1 Case.
- Authors
Zhang, Jia-Rui; Lu, Jun-Guo
- Abstract
This paper investigates the positive realness of continuous fractional-order (FO) two-dimensional (2D) Roesser model with the FO ρ 1 ∈ (0 , 1 ] , ρ 2 ∈ (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.
- Subjects
TWO-dimensional models; LINEAR matrix inequalities; STATE feedback (Feedback control systems)
- Publication
Circuits, Systems & Signal Processing, 2024, Vol 43, Issue 4, p2073
- ISSN
0278-081X
- Publication type
Article
- DOI
10.1007/s00034-023-02560-7