Fractional-order discrete-time perfect control of LTI MIMO STATE-SPACE SYSTEMS – new stability remarks

• Autorzy: Wach Ł.
• Języki publikacji: EN

Abstrakty

EN

In this paper a preliminary study on the perfect control stability in fractional-order framework is presented. A new formula that allows delimiting the stability area for LTI MIMO discrete-time fractional-order systems in state-space corresponds to the one dedicated to classical integer-order systems. The new approach opens the possibility for illustrating the perfect control stability areas for such systems under numerical method.

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2016
• Tom: z. 72
• Strony: 105--106
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Wach Ł.

• Faculty of Electrical Engineering, Automatic Control and Informatics Institute of Automatic Control and Informatics

Bibliografia

• [1] WACH Ł., HUNEK W.: Perfect control for fractional-order multivariable discrete-time systems, Proc. of the 7th Conf. on Non-integer Order Calculus and its Applications, pp 233–237, Szczecin, Poland, 2015. DOI: 10.1007/978-3-319-23039-9_19.
• [2] HUNEK W.P., LATAWIEC K.J.: A study on new right/left inverses of nonsquare polynomial matrices, IJ of Applied Mathematics and Computer Science, No 2, 2011.
• [3] HUNEK W.P.: Towards a General Theory of Control Zeros for LTI MIMO Systems, Opole University of Technology Press, Opole, Poland, 2011.
• [4] SIEROCIUK D.: Estimation and Control of Fractional-Order Dynamic Systems in the State Space, Ph.D. Thesis, Warsaw University of Technology, 2007.