Novel band-pass and notch filter with dynamic damping of fractional order
- 1 November 2017
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 3, 1-4
Abstract
The paper introduces a novel the second order band-pass and notch filter with dynamic damping factor β d of fractional order. Indeed, the factor β d has a form of fractional differentiator of order α, i.e. β d =β/s α , where β and α are adjustable parameters. Shaping of the frequency response enables achieving better phase response compared to the integer-order counterparts which is of great concern in many applications. The aim of the paper is to exploit an extra degree of freedoms of presented filters to achieve the desired filter specifications and obtain desired response in the frequency and the time domain.Keywords
This publication has 29 references indexed in Scilit:
- Fractional-Order RC and RL CircuitsCircuits, Systems, and Signal Processing, 2012
- Tuning and implementation methods for fractional-order controllersFractional Calculus and Applied Analysis, 2012
- On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph EquationMathematical Physics, Analysis and Geometry, 2011
- Passive and Active Elements Using Fractional ${\rm L}_{\beta} {\rm C}_{\alpha}$ CircuitIEEE Transactions on Circuits and Systems I: Regular Papers, 2011
- Relay-based critical point estimation of a process with the PID controller in the loopAutomatica, 2011
- Optimal control of fractional diffusion equationComputers & Mathematics with Applications, 2011
- Optimal control of a class of fractional heat diffusion systemsNonlinear Dynamics, 2010
- A diffusion wave equation with two fractional derivatives of different orderJournal of Physics A: Mathematical and Theoretical, 2007
- Fractional order electromagneticsSignal Processing, 2006
- Crone control of a nonlinear hydraulic actuatorControl Engineering Practice, 2002