2013
DOI: 10.1155/2013/287040
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Fractional Describing Function Analysis of PWPF Modulator

Abstract: Pulse-width pulse-frequency (PWPF) modulators are widely used in spacecraft thruster control. Their dynamic characteristic is still lack of effective analysis tools. This paper presents a fractional describing function method to describe the frequency characteristics of PWPF. A frequency-dependent gain and phase shift are clearly described by fractional-order expression, and the fractional-order behaviors depict the nonlinear properties of PWPF modulators. This fractional describing function method can also be… Show more

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Cited by 7 publications
(9 citation statements)
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References 19 publications
(17 reference statements)
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“…Static analysis indicates that the modulator, for a fixed input, has a quasi-linear (almost linear) performance. In order to analyze the stability, a dynamic analysis for a nonlinear input is required, and one can make use of the approach of fractional describing function [12]. In the present paper, the jet performance is controlled via the modulator; that is, the modulator, in appropriate intervals, International Journal of Aerospace Engineering provides us with the situation to monitor the jet performance (on and off).…”
Section: Modulatormentioning
confidence: 99%
“…Static analysis indicates that the modulator, for a fixed input, has a quasi-linear (almost linear) performance. In order to analyze the stability, a dynamic analysis for a nonlinear input is required, and one can make use of the approach of fractional describing function [12]. In the present paper, the jet performance is controlled via the modulator; that is, the modulator, in appropriate intervals, International Journal of Aerospace Engineering provides us with the situation to monitor the jet performance (on and off).…”
Section: Modulatormentioning
confidence: 99%
“…[24][25][26]. Dealing with PWPF-based controllers, persistently, has been an interesting subject in the six past decades [22,[26][27][28][29][30][31][32][33]. It has had historical analogous applications in the aerospace control systems and its features have been well known for designers [27,28,34].…”
Section: Problem Statementmentioning
confidence: 99%
“…Progressively, PWPF-based controllers are getting more popular in control engineering literature [6,7,[29][30][31][32][33]. Hu and co-workers have examined several control methods such as variable structure and fault tolerant controller for flexible spacecraft implemented by PWPF [6,7,29,30].…”
Section: Fig 2 Pulse-width Pulse-frequency (Pwpf) Modulatormentioning
confidence: 99%
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“…Consequently, RCS is a better solution scheme to provide efficient control performance. Currently, a lot of research studies on RCS are focused on RCS thruster configuration [2], RCS nozzle selection logic [3,4], and RCS combined with pneumatic rudder surface control [5,6]. Liu provides a new method to obtain necessary and sufficient conditions for impulse controllability in continuous linear dynamics, which performs discrete-time actions for spacecraft maneuvering [7].…”
Section: Introductionmentioning
confidence: 99%