Rejection of harmonic and transient disturbances of a smart structure with piezoelectric actuators

• Autorzy: Duarte F. , Ballesteros P. , Shu X. , Bohn C.
• Języki publikacji: EN

Abstrakty

EN

Light flexible structures are easily prone to vibrate due to external forces or due to forces generated in the inner structure. This situation is common in machinery or mechanical structures with rotational devices. The unwanted vi-bration of such structures can be compensated with the addition of piezoelectric actuators for active vibration control (AVC). The rejection of harmonic disturbances is frequently done with controllers based on the internal model principle. The goal of this research is to reduce the effect of harmonic disturbances with known (measured) time-varying fre¬quencies acting on a system as well as to increase the damping of the system for the transient response (first mode of vibration). The experimental setup is made up of a slender aluminium flexible beam, a pair of piezoelectric actuators, an accelerometer and two DC motors, as well as the data acquisition and signal conditioning equipment. The harmonic disturbance is generated by DC motors. The control design utilizes an augmented description of the plant. The plant including the disturbance is modelled as a polytopic linear parameter-varying (pLPV) system. An observer-based gain-scheduling controller is calculated based on quadratic stability and the stability is guaranteed for the specified range ofvariation of the scheduling parameters, also restriction in the performance is introduced in the sense of the H2-norm. Experimental results show very good disturbance cancellation.

PL

Lekkie konstrukcje są podatne na drgania wzbudzane przez wymuszenia zewnętrzne oraz siły występujące wewnątrz układu. Drgania tego typu konstrukcji mogą być zredukowane przy zastosowaniu aktuatorów piezoelektrycznych i układów aktywnej regulacji. Układy eliminacji drgań często wykorzystują regulatory zaprojektowane przy wykorzysta¬niu modelu obiektu. Celem obecnych badań była redukcja wpływu harmonicznie zmiennych parametrów układu oraz zwiększenie tłumienia drgań nieustalonych. Obiekt sterowania został zamodelow any jako liniowy układ niestacjonarny. Układ regulacji uwzględniający obserwator stanu został zaprojektowany przy wykorzystaniu normy H2. Przeprowadzono weryfikację doświadczalną zaproponowanej metody. W skład stanowiska doświadczalnego wchodziły: podatna bel¬ka wykonana z aluminium, para aktuatorów piezoelektrycznych, akcelerometr, dwa silniki prądu stałego oraz układ akwizycji danych i ich kondycjonowania. Zaburzenie harmoniczne było generowane przez silniki prądu stałego. Wyniki badań doświadczalnych potwierdziły dużą skuteczność zaproponowanej metody redukcji drgań.

Słowa kluczowe

EN

active vibration control; gain scheduling; linear parameter-varying systems; piezoelectric actuators

PL

aktywne tłumienie drgań; harmonogramowanie wzmocnienia; liniowy układ niestacjonarny; aktuatory piezoelektryczne

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Mechanics and Control
• Rocznik: 2013
• Tom: Vol. 32, no. 2
• Strony: 41--51
• Opis fizyczny: Bibliogr. 30 poz., rys., wykr., tab.

Twórcy

autor

Duarte F.

• Institute of Electrical Information Technology, Clausthal University of Technology, Leibnizstr. 28,38678 Clausthal-Zellerfeld, Germany

autor

Ballesteros P.

• Institute of Electrical Information Technology, Clausthal University of Technology, Leibnizstr. 28,38678 Clausthal-Zellerfeld, Germany

autor

Shu X.

• Institute of Electrical Information Technology, Clausthal University of Technology, Leibnizstr. 28,38678 Clausthal-Zellerfeld, Germany

autor

Bohn C.

• Institute of Electrical Information Technology, Clausthal University of Technology, Leibnizstr. 28,38678 Clausthal-Zellerfeld, Germany

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