Controllability of linear convex combination of linear discrete-time fractional systems
| Author | Kaczorek T.; Klamka J.; Dzieliński A. |
|---|---|
| Title | Controllability of linear convex combination of linear discrete-time fractional systems |
| Journal | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Year | 2022 |
| Status | Published |
| Volume | 70 |
| DOI | 10.24425/bpasts.2022.143102 |
| URL | http://journals.pan.pl/Content/124861/PDF/2928_BPASTS_2022_70_5.pdf |
| Abstract | <p>In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.</p> |