Predictive Control for Time-Delayed Switching Control Systems

[+] Author and Article Information
Bobby L. Shields, Eric J. Barth, Michael Goldfarb

Department of Mechanical Engineering, Vanderbilt University, Nashville, TN 37235

J. Dyn. Sys., Meas., Control 128(4), 999-1004 (Mar 07, 2006) (6 pages) doi:10.1115/1.2363204 History: Received September 02, 2003; Revised March 07, 2006

A methodology is proposed for the control of switching systems characterized by linear system dynamics with a time delay in the input channel. The method incorporates a state predictor that at each switching period determines the effect that the next control input will have on the future output of the system, and chooses the input that will take the system closest to the desired future state. The resulting control action is suboptimal, but is computationally tractable and shown to provide a bounded tracking error for stable plants. The proposed predictive control methodology is demonstrated on a hot gas pressurization system that tracks a desired pressure trajectory via an on/off solenoid valve.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Schematic of the experimental setup

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Figure 3

Average pressure response to a 1ms pulse

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Figure 4

Block diagram of the predictive controller

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Figure 5

Sinusoidal pressure tracking with the predictive switching controller

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Figure 6

Sinusoidal pressure tracking for the case of neglecting transport lag in the predictive controller

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Figure 2

Measured pressure response to a series of 1ms valve commands

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Figure 7

Pressure tracking performance for sinusoidal pressure tracking




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