Optimization of zero-pole interlacing for indirect discrete approximations of noninteger order operators

Authors:
G. Maione;R. Caponetto;A. Pisano
Affiliations:
Department of Electrical and Electronic Engineering, Technical University of Bari, Bari, Italy;Department of Electrical, Electronic and Systems Engineering, University of Catania, Catania, Italy;Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy
Venue:
Computers & Mathematics with Applications
Year:
2013

Citing 4
Cited 0

Analysis and design of fractional-order digital control systems

Systems Analysis Modelling Simulation
A new IIR-type digital fractional order differentiator

Signal Processing - Special issue: Fractional signal processing and applications
A study of particle swarm optimization particle trajectories

Information Sciences: an International Journal
The particle swarm - explosion, stability, and convergence in amultidimensional complex space

IEEE Transactions on Evolutionary Computation

Quantified Score

Hi-index	0.09

Visualization

Abstract

To realize the basic units of fractional order controllers, it is necessary to approximate irrational differintegrators. Many methods deal with analog approximation. But not many results exist for discrete approximation. In this case, approximations are most times poor in some frequency range, or the quality of the approximation is good in a narrow frequency interval. This paper proposes an indirect discretization method that takes advantage from the particle swarm optimization (PSO) to approximate fractional order operators. The method employs an heuristic procedure to optimize the interlacing of zero-pole pairs on the real axis. Then, a discretization rule is applied to obtain the discrete approximation. Simulation results show that the frequency response obtained by PSO improves the approximation offered by other efficient and recent indirect discretization techniques.