Search Results - "Ostalczyk, P"

Stability analysis of a discrete-time system with a variable-, fractional-order controller by Ostalczyk, P.

“…Variable, fractional-order backward difference is a generalisation of commonly known difference or sum. Equations with these differences can be used to…”
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On simplified forms of the fractional-order backward difference and related fractional-order linear discrete-time system description by Ostalczyk, P.

“…In this paper three simplified forms of the fractional-order (FO) backward difference (BD) are proposed and analysed. Due to time and frequency characteristics…”
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Remarks on five equivalent forms of the fractional – order backward – difference by Ostalczyk, P.

“…In this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition…”
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Stability conditions for fractional-order linear equations with delays by Mozyrska, D, Ostalczyk, P, Wyrwas, M

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Fractional discrete model of an electrical drive with brushless micro-motor by Matusiak, M, Bąkała, M, Wojciechowski, R, Ostalczyk, P

“…The use of fractional-order calculus for system modeling is a good alternative to well-known classic integer-order methods, primarily due to the precision with…”
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Fractional-order discrete model of an independent wheel electrical drive of the autonomous platform by Bąkała, M, Nowakowski, J, Ostalczyk, P

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Fractional Signals and Systems by Ortigueira, M D, Machado, J T M, Ostalczyk, P

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High-accuracy numerical integration methods for fractional order derivatives and integrals computations by Brzeziński, D.W., Ostalczyk, P.

“…In this paper the authors present highly accurate and remarkably efficient computational methods for fractional order derivatives and integrals applying…”
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A note on the Grünwald–Letnikov fractional-order backward-difference by Ostalczyk, P W

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Numerical evaluation of fractional differ-integrals of some periodical functions via the IMT transformation by Brzeziński, D., Ostalczyk, P.

“…This paper presents accuracy evaluation of the numerical calculations of the fractional differ-integrals. We focus on applying the Riemann-Liouville formula,…”
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Quantitative robustness of a system with a fractional integrator as a tool of a robust system synthesis by Ostalczyk, Piotr

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Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains by Ostalczyk Piotr

“…Two description forms of a linear fractional-order discrete system are considered. The first one is by a fractional-order difference equation, whereas the…”
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The non-integer difference of the discrete-time function and its application to the control system synthesis by Ostalczyk, Piotr

“…A definition of a non-integer nth order backward difference of the discrete-time function is given. It is a generalization of the well-known nth order…”
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Fundamental properties of the fractional-order discrete-time integrator by Ostalczyk, Piotr

“…In the paper main properties of the fractional-order discrete-time linear, time-invariant integrator are presented. The discrete-time integrators of different…”
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Fractional discrete model of an electrical drive with brushless micro-motor by Matusiak, M., Bąkała, M., Wojciechowski, R., Ostalczyk, P.

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Variable-, fractional-order discrete PID controllers by Ostalczyk, P.

“…The fractional calculus is the area of mathematics that handles derivatives and integrals of any arbitrary order (fractional or integer, real or complex order)…”
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Closed - Loop system synthesis with the variable-, fractional - Order PID controller by Ostalczyk, P., Duch, P.

“…In the paper a closed - loop synthesis method based on the plant measured step response knowledge is proposed. Having the plant step response data one uses the…”
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The Grünwald-Letnikov formula and its equivalent Horner's form accuracy comparison and evaluation for application to fractional order PID controllers by Brzezinski, D. W., Ostalczyk, P.

“…In this paper we discuss a problem of numerical calculation accuracy of the Fractional-order Backward Difference/Sum (FOBD/S) of some discrete functions…”
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High performance angular-velocity DC electrical drive subject to a periodical type load torque and some parameter changes by Ostalczyk

“…The paper proposes a design method for a high dynamical performance angular-velocity DC electrical drive with reduced periodical type load torque disturbance…”
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