Star-shaped control-vector sets of second-order systems with PWM-type input

This paper deals with second-order continuous-time linear time-invariant systems by means of a pulse-width modulation (PWM)-type input. In general, it is difficult to analyze and design a PWM system because of its nonlinearity in terms of the duty ratio. In this paper, it is shown that the nonlinear...

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Bibliographic Details
Published in:Automatica (Oxford) 2020-06, Vol.116, p.108924, Article 108924
Main Authors: Suzuki, Masayasu, Hirata, Mitsuo
Format: Article
Language:English
Subjects:
Geometric approaches
Linearization
Nonlinear system
Pulse-width modulation
Tracking control
Transformations
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Summary:This paper deals with second-order continuous-time linear time-invariant systems by means of a pulse-width modulation (PWM)-type input. In general, it is difficult to analyze and design a PWM system because of its nonlinearity in terms of the duty ratio. In this paper, it is shown that the nonlinearity appearing in the discrete-time model at the sampling instants can be eliminated by varying the location of the pulse as well as the duty ratio.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2020.108924