Rate Feedback Control of Free-Free Uniform Flexible Rod

Raskin, Natalya; Halevi, Yoram

doi:10.2514/2.4815

Cited by 13 publications

(10 citation statements)

References 7 publications

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“…In [10], G 0 (x; s) was given as the transfer function from a torque applied at an end of a free-free rod to its rotation angle. In [11], a more general transfer function was developed for a rod with BC that contain springs, dampers and inertia.…”

Section: B Forced Response and Transfer Functionsmentioning

confidence: 99%

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Wave based vibration control of membranes

Sirota

Halevi

2014

2014 American Control Conference

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Suppression of vibrations occurring in membranes due to initial conditions is considered. The membrane is modeled by a combination of modal decomposition in the lateral axis and transfer functions in the longitudinal. The transfer functions are irrational and are shown to represent the wave motion in the system. A dedicated closed loop control algorithm is designed to eliminate the wave reflections in the control axis. The resulting controllers are irrational as well, and approximations are used to implement them. Numerical simulations show that controlling only few modes is sufficient to achieve a considerable vibration attenuation.

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Section: B Forced Response and Transfer Functionsmentioning

confidence: 99%

“…[9]. In a series of publications [10]- [11], explicit transfer functions were derived for systems governed by the 1D wave equation. These transfer functions consist of low order rational parts accompanied by pure time delays.…”

Section: Introductionmentioning

confidence: 99%

Wave based vibration control of membranes

Sirota

Halevi

2014

2014 American Control Conference

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“…Where H ω (s) is selected so that the delay is eliminated from the closed loop characteristic equation [6], [16].…”

Section: Absolute Vibration Suppression Velocitymentioning

confidence: 99%

“…In a series of works, e.g. [6], [7], [12]- [16], Halevi and co-authors have developed the transfer function for systems that are given by the wave equation. While transfer functions as a model of general continuous systems have been considered before, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the stability and robustness of controller with slight noncollocation caused by sensoractuator location mismatch is investigated. The AVS controller, [16], is modified to improve its robustness to controller sensor noncollocation The performance of that controller is compared to that of a simple constant gain velocity feedback control. …”

Section: Introductionmentioning

confidence: 99%

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On the robustness of AVS controller to sensor-actuator noncollocation

Peled

Halevi

2009

2009 17th Mediterranean Conference on Control and Automation

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This paper considers the problem of controlling flexible systems, such as rotating shafts, whose dynamics is described by the wave equation. In previous works, infinite dimension transfer functions were introduced. Their special structure lead to the Absolute Vibration Suppression (AVS) linear collocated controller that results in a low order plus delay closed loop transfer function, hence eliminates the infinite number of poles. In this paper, the robustness problem of small, unintentional noncollocation between the control and the measurement is investigated for both conservative and nonconservative (damped) systems. It is shown that the loop can be robustly stabilized only if the load end of the structure contains damping. The use of Robust AVS controller (RAVS) to overcome the problem of noncollocation is discussed and a tuning algorithm for it is suggested. Its improved performance is shown by means of an example.

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Transfer function modeling of multi-link flexible structures

Halevi

Wagner-Nachshoni

2006

Journal of Sound and Vibration

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Rate Feedback Control of Free-Free Uniform Flexible Rod

Cited by 13 publications

References 7 publications

Wave based vibration control of membranes

Wave based vibration control of membranes

On the robustness of AVS controller to sensor-actuator noncollocation

Transfer function modeling of multi-link flexible structures

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