A Method of Control System Design Based upon Partial Knowledge about Controlled Processes

Kitamori, Toshiyuki

doi:10.9746/sicetr1965.15.549

Cited by 131 publications

(33 citation statements)

References 3 publications

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“…To compensate effects of the dead time, various control methods have been reported. For instance, as frequency-domain approaches, internal model control (Morari and Zafiriou, 1989), partial model matching method (Kitamori, 1979;Kitamori, 2001), Smith predictor (Smith, 1959), etc., are widely known. Meanwhile, as time-domain approaches, state-prediction control (Manitius and Olbrot, 1979;Furutani and Araki, 1998), Lyapunov-Krasovskii approach (Fridman and Shaked, 2002), LyapunovRazumikhin approach (Jankovic, 2001), etc., were presented.…”

Section: Rdd Positive Feedback Control Combined With Smith Predictionmentioning

confidence: 99%

Bandwidth expansion of a pressure control system for pneumatic anti-vibration apparatuses in presence of dead time

Nakamura

Kawakami

Wakui

2015

JAMDSM

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This paper considers the pressure control of air springs used for a pneumatic anti-vibration apparatus (AVA), which isolates vibration transmitted to semiconductor lithography equipment. In the control of the pneumatic AVA, pressure feedback is often employed so as to keep the inner pressure of air springs constant. By expanding the bandwidth of pressure control system, fast response can be obtained, though this bandwidth is restricted due to anti-resonance and resonance in a pneumatic system. To eliminate the anti-resonance and resonance, relative displacement derivative (RDD) positive feedback control has been presented. However, previous RDD positive feedback control cannot be implemented under the condition where the dead time of air springs exists. In order to compensate effects of the dead time, a Smith predictor is utilized. Through experiments, it is shown that in the presence of the dead time, the anti-resonance and resonance can be eliminated by means of the RDD positive feedback control combined with Smith prediction. The bandwidth of the pressure control system increases with the gain of pressure PI compensator. Furthermore, effects of proposed approach on vibration transmissibility are investigated. Although the vibration transmissibility is the performance metric for the development of the pneumatic AVA, the case where the dead time is present was not sufficiently considered. In this paper, it is shown that the vibration transmissibility changes in accordance with the dead time.

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Section: Rdd Positive Feedback Control Combined With Smith Predictionmentioning

confidence: 99%

Bandwidth expansion of a pressure control system for pneumatic anti-vibration apparatuses in presence of dead time

Nakamura

Kawakami

Wakui

2015

JAMDSM

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“…The figure 2(a) is the input data . Based on the paper [7], we consider the following reference model which is described as the 3-order system to avoid overshoot in the reference response. However it seems that the PID tuning is not enough since the output signal after FRIT is not fitted with the reference response.…”

Section: Motivated Numerical Examplesmentioning

confidence: 99%

“…The models are described as simple transfer functions such as first-order systems with a time-delay. In the papers [6][7][8][9][10][11][12], general transfer functions are considered and PID controllers can be designed based on the Bode plots. H-infinity controllers are designed based on the transfer functions of magnetic bearings in the paper [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

A Method To Design Pid Controllers Using Frit-Pso

Azuma

2015

International Journal on Smart Sensing and Intelligent Systems

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“…(11) and (12), makes the closed-loop system in Eq. (1) stable and can be applied to any multipleinput/multiple-output plant G(s).…”

Section: Modified Pi Controllermentioning

confidence: 99%

A Design Method for Modified PID Controllers for Multiple-Input/Multiple-Output Plants

Hagiwara

Yamada

Matsuura

et al. 2012

JSDD

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The Proportional-Integral-Derivative (PID) controller structure is very widely used in industrial applications. Its structural simplicity and ability to solve many practical control problems have contributed to this wide acceptance. Recently, the parameterization of all stabilizing PID controllers has been considered. This method obtains admissible sets of PID parameters to guarantee the stability of a closed-loop system. However, several difficulties remain with this method. One is that admissible sets of P-parameters, I-parameters and D-parameters are related to each other. Another is that there are plants that cannot be stabilized by a PID controller. To overcome these problems, Yamada and Hagiwara proposed a design method for modified PID controllers that stabilize the closed-loop system for unstable plants, while allowing admissible sets of P-parameters, I-parameters and D-parameters to be independent of each other. However, no method has been published that can guarantee the stability of PID control systems for multiple-input/multiple-output plants, or find admissible sets of P-parameters, I-parameters and D-parameters that both are independent of each other and guarantee the stability of a PID control system. We propose a design method for modified PID controllers that achieves these goals.

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A Method of Control System Design Based upon Partial Knowledge about Controlled Processes

Cited by 131 publications

References 3 publications

Bandwidth expansion of a pressure control system for pneumatic anti-vibration apparatuses in presence of dead time

Bandwidth expansion of a pressure control system for pneumatic anti-vibration apparatuses in presence of dead time

A Method To Design Pid Controllers Using Frit-Pso

A Design Method for Modified PID Controllers for Multiple-Input/Multiple-Output Plants

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