This work deals with Single-Input-Single-Output (SISO) fractional order systems with a discontinuous relay control element in the feedback loop. Stable self-sustained oscillations often occur in the closed loop relay system, and this work takes advantage of Describing Function (DF) analysis and of another more accurate approach, called Locus of a Perturbed Relay System (LPRS) method, for analyzing in the frequency domain the characteristics of the limit cycle oscillations. The use of fractional lead compensator is also suggested for the purpose of shaping the characteristics of the limit cycle. The proposed analysis and design procedures will be supported by thoroughly discussed simulation examples
Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems / Caponetto, R; Maione, Guido; Pisano, A; Rapaić, Mr; Usai, E.. - In: FRACTIONAL CALCULUS & APPLIED ANALYSIS. - ISSN 1311-0454. - 16:1(2013), pp. 93-108. (Intervento presentato al convegno The 5th IFAC Symposium on Fractional Differentiation and Its Applications (FDA 2012) tenutosi a Hohai University, Nanjing, Cina nel 14-17 Maggio 2012) [10.2478/s13540-013-0007-x].
Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems
MAIONE, Guido;
2013-01-01
Abstract
This work deals with Single-Input-Single-Output (SISO) fractional order systems with a discontinuous relay control element in the feedback loop. Stable self-sustained oscillations often occur in the closed loop relay system, and this work takes advantage of Describing Function (DF) analysis and of another more accurate approach, called Locus of a Perturbed Relay System (LPRS) method, for analyzing in the frequency domain the characteristics of the limit cycle oscillations. The use of fractional lead compensator is also suggested for the purpose of shaping the characteristics of the limit cycle. The proposed analysis and design procedures will be supported by thoroughly discussed simulation examples| File | Dimensione | Formato | |
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