Perfect control vs. fractional order systems

• Autorzy: Wach Łukasz
• Języki publikacji: EN

Abstrakty

EN

This paper presents a preliminary study of possibilities of implementation of the fractional order calculus in modern predictive control algorithms. Accordingly, it is presented the use of such algorithms in classic control systems described by input-output models, in particular deterministic perfect control. Moreover, potential fields of application of the fractional order calculus in discrete-time state-space prefect control systems are indicated.

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2015
• Tom: z. 71
• Strony: 87--89
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Wach Łukasz

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

Bibliografia

• [1] HUNEK W.P., LATAWIEC K.J.: „A study on new right/left inverses of nonsquare polynomial matrices”, IJ of Applied Mathematics and Computer Science, vol. 21, No. 2, 2011.
• [2] HUNEK W.P.: „Towards a General Theory of Control Zeros for LTI MIMO Systems”, Opole University of Technology Press, Opole, Poland, 2011.
• [3] SIEROCIUK D.: “Estimation and Control of fractional-order dynamic systems in the state space”, Ph.D. Thesis, Warsaw University of Technology, 2007
• [4] STANISŁAWSKI R., LATAWIEC K.J.: “Normalized finite fractional differences: computational and accuracy breakthroughs”, IJ of Applied Mathematics and Computer Science, vol. 22, No. 4, 2012.
• [5] WACH Ł., HUNEK W.P.: “Perfect Control for Fractional-Order Multivariable Discrete-Time System”, The 7th Conference on Non-integer Order Calculus and its Applications, Szczecin, Poland, 2015 (under review).