Title

Stability analysis of a discrete-time system with a variable-, fractional-order controller

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2010

Volume

58

Issue

No 4

Authors

Ostalczyk, P.

Divisions of PAS

Nauki Techniczne

Coverage

613-619

Date

2010

Identifier

DOI: 10.2478/v10175-010-0063-x ; ISSN 2300-1917

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2010; 58; No 4; 613-619

References

Miller K. (1993), An Introduction to Fractional Calculus and Fractional Differential Equations. ; Oldham K. (1974), The Fractional Calculus. ; Ostalczyk P. (2008), An Outline of Integro-differential Calculus of Fractional Orders. Theory and Applications in Automatics. ; Oustaloup A. (2005), Représentation et Identification par Modèle Non Entire. ; Podlubny I. (1999), Fractional Differential Equations. ; Ostalczyk P. (2003), The time-varying fractional order difference equations, null, 1, 1. ; Ostalczyk P. (2008), Variable-, Fractional-Order Dead-Beat Control of an Electromagnetic Servo, J. Vibration and Control, 14, 9/10, 1457, doi.org/10.1177/1077546307087437 ; Kaczorek T. (2009), Positive Fractinal 1D and 2D Systems. ; Tøffner-Clausen S. (1996), System Identification and Robust Control. ; Zhou K. (1996), Robust and Optimal Control. ; Proakis J. (2007), Digital Signal Processing. ; Matignon D. (1996), Stability results for fractional differential equations with applications to control processing, Computational Eng. in Systems and Application Multiconference, 2, 963. ; Ostalczyk P. (2000), The non-integer difference of the discrete-time function and its application to the control system synthesis, Int. J. System Science, 31, 12, 1551, doi.org/10.1080/00207720050217322 ; Ostalczyk P. (2009), A note on the backward difference evaluation problems, null, 1. ; Åström K. (1995), PID Controllers: Theory, Design and Tuning. ; Podlubny I. (1997), On fractional derivatives, fractional-order dynamic systems and <i>PIλDμ</i> - controllers, null, 1, 4985.