著者

鈴木 雅康 平田 光男

出版者

公益社団法人 計測自動制御学会

雑誌

計測自動制御学会論文集 (ISSN:04534654)

巻号頁・発行日

vol.54, no.2, pp.194-200, 2018 (Released:2018-02-20)

参考文献数

15

被引用文献数

1

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This paper is concerned with a control problem for linear systems by means of pulse-width-modulation (PWM)-type input. Since the PWM input system is nonlinear in terms of the duty ratio, its analysis and design for precision control is in general difficult. Nevertheless it turns out that the discrete-time systems on the sampling instants can be exactly transformed to single input linear systems by making the number and center-locations of pulses variable, where the fact that the sets of the vector-values of the input terms are convex is used. In this paper, by utilizing the above fact further, we propose a method exactly transforming the nonlinear discrete-time systems to multi-input linear systems.

著者

鈴木 雅康 平田 光男

出版者

公益社団法人 計測自動制御学会

雑誌

計測自動制御学会論文集 (ISSN:04534654)

巻号頁・発行日

vol.52, no.4, pp.205-212, 2016 (Released:2016-04-15)

参考文献数

14

被引用文献数

1 2

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This paper is concerned with the behavior of second-order continuous-time LTI systems with the pulse-width-modulation (PWM) input on sampling instants. The input term of the difference equation describing the state transition is a nonlinear map of the control parameter of the rectangular wave, i.e., duty ratio. It is shown that the nonlinearity can be exactly compensated by varying the center of each rectangular wave as well as its duty ratio.