Journal article
Fractal system as represented by singularity function
IEEE transactions on automatic control, v 37(9), pp 1465-1470
Sep 1992
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A fractional slope on the log log Bode plot has been observed in characterizing a certain type of physical phenomenon and has been called the fractal system or the fractional power pole. In order to represent and study its dynamical behavior, a singularity function method is presented which consists of cascaded branches of a number of pole-zero (negative real) pairs or simple RC section. The distribution spectrum of the system can also be easily calculated, and its accuracy depends on a prescribed error specified in the beginning. The method is then extended to a multiple-fractal system which consists of a number of fractional power poles. The result can be simulated by a combination of singularity functions, each representing a single-fractal system.< >
Metrics
Details
- Title
- Fractal system as represented by singularity function
- Creators
- A Charef - Drexel UniversityH.H Sun - Drexel UniversityY.Y Tsao - Drexel UniversityB Onaral - Drexel University
- Publication Details
- IEEE transactions on automatic control, v 37(9), pp 1465-1470
- Publisher
- IEEE
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:A1992JP79100030
- Scopus ID
- 2-s2.0-0026928376
- Other Identifier
- 991019173997404721
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- Web of Science research areas
- Automation & Control Systems
- Engineering, Electrical & Electronic