Contribution of σ-inverse to stabilization of fractional-order perfect control for lti mimo state-space systems

• Autorzy: Wach Ł. , Hunek W. P.
• Języki publikacji: EN

Abstrakty

EN

The paper presents a study on possibilities of application of the parameter matrix σ-inverse for stabilization the fractional-order discrete-time perfect control in state-space. Basing on Grünwald–Letnikov definition and a new fractional-order perfect control law for LTI MIMO systems the simulation research illustrates the prospects of utilisation the σ-inverse for stabilization of mentioned control strategy. The simulation example shows that σ-inverse outperforms the classical minimum-norm right inverse so called T-inverse.

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2016
• Tom: z. 74
• Strony: 185--190
• Opis fizyczny: Bibliogr. 7 poz., rys., wykr.

Twórcy

autor

Wach Ł.

• Department of Electrical, Control and Computer Engineering Institute of Control and Computer Engineering

autor

Hunek W. P.

• Department of Electrical, Control and Computer Engineering Institute of Control and Computer Engineering

Bibliografia

• [1] WACH Ł., HUNEK W.P.: Perfect control for fractional-order multivariable discretetime systems, Proc. of the 7th Conference 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.: Towards a General Theory of Control Zeros for LTI MIMO Systems, Opole University of Technology Press, Opole, Poland, 2011
• [3] 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, pp. 331–348, 2011. DOI: 10.2478/v10006-011-0025-y, 2011
• [4] HUNEK W.P., LATAWIEC K.J., MAJEWSKI P., DZIERWA P.: An application of a new matrix inverse in stabilizing state-space perfect control of nonsquare LTI MIMO systems, Proc. of the 19th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR'2014), pp. 451–455, Międzyzdroje, Poland, IEEE Catalog Number: CFP13MMA-CDR
• [5] SIEROCIUK D.: Estimation and Control of Fractional-Order Dynamic Systems in the State Space, Ph.D. Thesis, Warsaw University of Technology, 2007
• [6] LATAWIEC K.J.: The Power of Inverse Systems in Linear and Nonlinear Modeling and Control, Opole University of Technology Press, Opole, Poland, 2004
• [7] STANISŁAWKI R., LATAWIEC K.J.: Normalized finite fractional differences: computational and accuracy breakthroughs, International Journal of Applied Mathematics and Computer Science, Vol. 22, No. 4, pp. 907–919, DOI: 10.2478/v10006-012-0067-9, 2012