2009Engineering MechanicsRequires access

A LTR APPROACH BASED ON COMPENSATOR FOR STRUCTURE VIBRATION CONTROL

Sheng Yan

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Abstract

A new compensator is proposed through the comparison of the conventional linear-quadratic-Gaussian synthesis with a loop-transfer-recovery(LQG/LTR) controller for structure vibration control and an open-loop stable controller is developed.Also the closed-loop stability can be guaranteed.More importantly,the value of the controller's gain required for a given degree of LTR is orders of magnitude less than what is required in the conventional LQG/LTR approach.Also,for the same value of gain,the proposed controller achieves much better degree of recovery than the LQG/LTR-based controller.Once this controller is obtained,the woes of control force saturation are either eliminated or at least dampened,and the controller band-width is reduced and consequently the control signal to noise ratio at the input point of the dynamic system is increased.Finally,numerical examples illustrate the above advantage.

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What this paper is about

A new compensator is proposed through the comparison of the conventional linear-quadratic-Gaussian synthesis with a loop-transfer-recovery(LQG/LTR) controller for structure vibration control and an open-loop stable controller is developed.Also the closed-loop stability can be guaranteed.More importantly,the value of the controller's gain required for a given degree of LTR is orders of magnitude less than what is required in the conventional LQG/LTR approach.Also,for the same value of gain,the proposed controller achieves much better degree of recovery than the LQG/LTR-based controller.Once this controller is obtained,the woes of control force saturation are either eliminated or at least dampened,and the controller band-width is reduced and consequently the control signal to noise ratio at the input point of the dynamic system is increased.Finally,numerical examples illustrate the above advantage.

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Available abstract

A new compensator is proposed through the comparison of the conventional linear-quadratic-Gaussian synthesis with a loop-transfer-recovery(LQG/LTR) controller for structure vibration control and an open-loop stable controller is developed.Also the closed-loop stability can be guaranteed.More importantly,the value of the controller's gain required for a given degree of LTR is orders of magnitude less than what is required in the conventional LQG/LTR approach.Also,for the same value of gain,the proposed controller achieves much better degree of recovery than the LQG/LTR-based controller.Once this controller is obtained,the woes of control force saturation are either eliminated or at least dampened,and the controller band-width is reduced and consequently the control signal to noise ratio at the input point of the dynamic system is increased.Finally,numerical examples illustrate the above advantage.

Key concepts: Linear-quadratic-Gaussian control, Control theory (sociology), Optimal projection equations, Controller (irrigation), Open-loop controller, Vibration, Vibration control, Engineering

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