Active vibration control of smart flexible piezoelectric beam with a tip mass using hybrid FX‐VSSLMS algorithm

Wang, Xiaopeng; Fang, Yubin; Hu, Junwei; Zhu, Xiaojin

doi:10.1049/joe.2018.9033

Cited by 4 publications

(1 citation statement)

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“…Miscellaneous control approaches have been used for vibration control of smart flexible beams such as strain rate feedback [9], positive position feedback [10], pulse frequency modulator [11], PID controller [12], Linear quadratic regulator (LQR), state feedback [13], model predictive control [14], and more recent works [15][16][17][18][19][20]. However, the performance and stability of the above-mentioned control schemes could be corrupted if undesired external disturbances are applied or unmodeled dynamics are neglected.…”

Section: Introductionmentioning

confidence: 99%

Proxy-Based Sliding Mode Vibration Control with an Adaptive Approximation Compensator for Euler-Bernoulli Smart Beams

Al-Shuka¹

2020

JESA

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Proxy-based sliding mode control PSMC is an improved version of PID control that combines the features of PID and sliding mode control SMC with continuously dynamic behaviour. However, the stability of the control architecture maybe not well addressed. Consequently, this work is focused on modification of the original version of the proxy-based sliding mode control PSMC by adding an adaptive approximation compensator AAC term for vibration control of an Euler-Bernoulli beam. The role of the AAC term is to compensate for unmodelled dynamics and make the stability proof more easily. The stability of the proposed control algorithm is systematically proved using Lyapunov theory. Multi-modal equation of motion is derived using the Galerkin method. The state variables of the multi-modal equation are expressed in terms of modal amplitudes that should be regulated via the proposed control system. The proposed control structure is implemented on a simply supported beam with two piezo-patches. The simulation experiments are performed using MATLAB/SIMULINK package. The locations of piezo-transducers are optimally placed on the beam. A detailed comparison study is implemented including three scenarios. Scenario 1 includes disturbing the smart beam while no feedback loop is established (open-loop system). In scenario 2, a PD controller is applied on the vibrating beam. Whereas, scenario 3 includes implementation of the PSMC+AAC. For all previously mentioned scenarios, two types of disturbances are applied separately: 1) an impulse force of 1 N peak and 1 s pulse width, and 2) a sinusoidal disturbance with 0.5 N amplitude and 20 Hz frequency. For impulse disturbance signals, the results show the superiority of the PSMC+AAC in comparison with the conventional PD control. Whereas, both the PSMC+ACC and the PD control work well in the case of a sinusoidal disturbance signal and the superiority of the PSMC is not clear.

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