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- Title
Fractional order linear time invariant system stabilization by brute-force search.
- Authors
Alagoz, Baris Baykant
- 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.
- Subjects
FRACTIONAL calculus; LINEAR time invariant systems; LINEAR systems; DISCRETE-time systems; POLE assignment
- Publication
Transactions of the Institute of Measurement & Control, 2018, Vol 40, Issue 5, p1447
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/0142331216685391