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Fractional order linear time invariant system stabilization by brute-force search.
- Source :
-
Transactions of the Institute of Measurement & Control . Mar2018, Vol. 40 Issue 5, p1447-1456. 10p. - Publication Year :
- 2018
-
Abstract
- Fractional calculus increases their applications in system design and analysis problems because of providing more realistic modeling of real systems. Owing to computational complexity of fractional calculus, the computer-aided design and analysis methods are required for engineering applications of fractional order systems. This study presents a numerical method for parametric robust stabilization of fractional order systems by employing single-parameter perturbation. This method implements a fractional order perturbation strategy on the basis of brute-force search technique for system stabilization problems. In order to meet a predefined minimum argument root design specification, the proposed algorithm searches for a desired placement of the minimum argument characteristic root within the first Riemann sheet by performing iterative perturbations of the fractional order. This approach can provide a straightforward numerical solution for robust stabilization problems of fractional order systems by employing an order perturbation scheme. Moreover, a possible utilization of a fractional order derivative operator as a system stabilizer is theoretically discussed. Illustrative examples show the utilization of the proposed stabilization algorithms for computer-aided fractional order system design applications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01423312
- Volume :
- 40
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Transactions of the Institute of Measurement & Control
- Publication Type :
- Academic Journal
- Accession number :
- 128478451
- Full Text :
- https://doi.org/10.1177/0142331216685391