Pole Placement Techniques for Active Vibration Control of Smart Structures: A Feasibility Study

Abstract

It is well known that there is degradation in the performance of a fixed parameter controller when the system parameters are subjected to a change. Conventional controllers can become even unstable, with these parametric uncertainties. This problem can be avoided by using robust and adaptive control design techniques. However, to obtain robust performance, it is desirable that the closed-loop poles of the perturbed structural system remain at prespecified locations for a range of system parameters. With the aim to obtain robust performance by manipulating the closed loop poles of the perturbed system, feasibility of the pole placement based controller design techniques is checked for active vibration control applications. The controllers based on the adaptive and robust pole placement method are implemented on smart structures. It was observed that the adaptive pole placement controllers are noise tolerant, but require high actuator voltages to maintain stability. However, robust pole placement controllers require comparatively small amplitude of control voltage to maintain stability, but are noise sensitive. It was realized that by using these techniques, robust stability and performance can be obtained for a moderate range of parametric uncertainties. However, the position of closed-loop poles should be judiciously chosen for both the control design strategies to maintain stability.

Adaptive pole placement control for vibration control of a smart cantilevered beam in thermal environment

“…The pole placement control is a feedback control and offers the flexibility relocate the dominated poles of the system in order to achieve the desired performance by selecting the desired poles (Sethi and Song, 2006;Kumar and Khan, 2007). In other words, the vibration of system will be effectively suppressed by selecting desired damping ratios.…”

Online monitoring and self-tuning control using pole placement method for active vibration control of a flexible beam

“…Among them, Zhang and Li (2012), and Kumar and Khan (2007) have developed an adaptive pole placement technique in active vibration control. Zhang and Li (2012) studied the performance of adaptive pole placement control in a cantilevered beam.…”

“…Several researchers have applied a pole placement control scheme to suppress the unwanted vibration of flexible beam structures (Manning et al, 2000;Bu et al, 2003;Sethi and Song, 2006;Kumar and Khan, 2007;Zhang and Li, 2012). Among them, Zhang and Li (2012), and Kumar and Khan (2007) have developed an adaptive pole placement technique in active vibration control. Zhang and Li (2012) studied the performance of adaptive pole placement control in a cantilevered beam.…”

“…Simulation results showed that the adaptive pole placement control is effective in controlling the vibration of the cantilever beam at various thermal conditions. Kumar and Khan (2007) proposed an adaptive pole placement controller for active vibration control of an inverted L structure. The controller is designed based on a 4th order Auto-Regressive Moving Average with Exogenous Input (ARMAX) model.…”

Numerical modal control of a flexible beam structure

“…Several researchers have applied a pole placement control scheme to suppress the unwanted vibration of flexible beam structures. Among them, Zhang and Li (2012) and Kumar and Khan (2007) have developed an adaptive pole placement technique in active vibration control. Zhang and Li (2012) studied the performance of adaptive pole placement control in a cantilevered beam.…”