An extension of Nyquist feedback stability for linear time-varying, discrete-time systems
Ładowanie...
Data
2007
Autorzy
Tytuł czasopisma
ISSN czasopisma
Tytuł tomu
Wydawca
International Journal of Factory Automation, Robotics and Soft Computing
Abstrakt
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.
Opis
Słowa kluczowe
discrete-time systems, time-varying systems, non-stationary systems, stability, finite time horizon, frequency analysis
Cytowanie
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