An extension of Nyquist feedback stability for linear time-varying, discrete-time systems
| dc.contributor.author | Orlowski, Przemyslaw | |
| dc.contributor.organization | Institute of Control Engineering, Szczecin University of Technology | en |
| dc.date.accessioned | 2023-05-30T09:29:34Z | |
| dc.date.available | 2023-05-30T09:29:34Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | The paper concerns on extending the classical Nyquist theorem to stability analysis of linear time-varying (LTV) discrete-time (DT) feedback control systems. Frequency methods, are well- known tool for analysis and synthesis for linear time-invariant systems. Unfortunately, the methods cannot be applied for LTV systems. The main objective is to show that Bode plots approximated using SVD-DFT are adequate methods for evaluating stability margins as well as external stability for LTV systems. We assume discrete-time state space models with time dependent system matrices defined on a finite time horizon. To solve the problem we employ discrete Fourier transform and singular value decomposition of a system matrix operator as well as properties of power spectral density. | en |
| dc.identifier.citation | Orłowski P. (2007). An extension of Nyquist feedback stability for linear time-varying, discrete-time systems. International Journal of Factory Automation, Robotics and Soft Computing, iss. 2, pp. 51-56. https://hdl.handle.net/20.500.12539/1765 | en |
| dc.identifier.issn | 1828-6984 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12539/1765 | |
| dc.language.iso | en | en |
| dc.page.number | 51-56 | en |
| dc.publisher | International Journal of Factory Automation, Robotics and Soft Computing | en |
| dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
| dc.source | International Journal of Factory Automation, Robotics and Soft Computing | en |
| dc.subject | discrete-time systems | en |
| dc.subject | time-varying systems | en |
| dc.subject | non-stationary systems | en |
| dc.subject | stability | en |
| dc.subject | finite time horizon | en |
| dc.subject | frequency analysis | en |
| dc.subject.other | Dyscyplina::Nauki inżynieryjno-techniczne | pl_PL |
| dc.title | An extension of Nyquist feedback stability for linear time-varying, discrete-time systems | en |
| dc.title.alternative | Rozszerzenie kryterium Nyquista dla dyskretnych, niestacjonarnych układów liniowych | pl_PL |
| dc.type | Article | en |