ON STABILIZATION OF DISCRETE-TIME 2-D SYSTEMS IN ROESSER MODEL
DOI:
https://doi.org/10.18173/2354-1059.2025-0020Keywords:
2-D systems, Roesser model, event-triggered controlAbstract
This paper focuses on the stabilization problem of discrete 2-D linear systems described by the Roesser model. A tractable stability condition in terms of linear matrix inequalities is first reformulated. Then, two controller design schemes are developed to formulate stabilization conditions via state-feedback controllers (SFCs) and event-triggered controllers (ETCs). Numerical examples with simulations are given to illustrate the effectiveness of the design conditions.
References
[1] Kaczorek T, (1985). Two-Dimensional Linear Systems. Springer, Berlin.
[2] Rogers E, Galkowski K, Paszke W, Moore KL, Bauer PH, Hladowski L & Dabkowski P, (2015). Multidimensional control systems: case studies in design and evaluation. Multidimensional Systems and Signal Processing, 26, 895–939.
[3] Marszałek W & Kekkerist GT, (1989). Heat exchangers and linear image processing theory. International Journal of Heat and Mass Transfer, 32, 2363–2374.
[4] Bors D & Walczak S, (2012). Application of 2D systems to investigation of a process of gas filtration. Multidimensional Systems and Signal Processing, 23, 119–130.
[5] Roesser RP, (1975). A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control, 20, 1–10.
[6] Fornasini E & Marchesini G, (1976). State-space realization theory of two-dimensional filters. IEEE Transactions on Automatic Control, 21, 484–492.
[7] Bachelier O, Paszke W, Yeganefar N, Mehdi D & Cherifi A, (2016). LMI stability conditions for 2D Roesser models. IEEE Transactions on Automatic Control, 61, 766–770.
[8] Le VH & Hieu T, (2016). Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite sum inequalities. IET Control Theory and Applications, 10, 1665–1674.
