Observer based sliding mode control for subsonic piezo-composite plate involving time varying measurement delay

In this study, an observer based sliding mode control (SMC) scheme is proposed for vibration suppression of subsonic piezo-composite plate in the presence of time varying measurement delay by using the piezoelectric patch (PZT) actuator. Firstly, the state space form of the subsonic piezo-composite...

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Bibliographic Details
Published in:Measurement and control (London) 2021-05, Vol.54 (5-6), p.983-993
Main Authors: Qi, Na, Zhang, Chen, Yuan, Jiaxin
Format: Article
Language:English
Subjects:
Active control
Actuators
Aeroelasticity
Asymptotic methods
Composite structures
Controllers
Delay
Linear matrix inequalities
Manifolds
Mathematical analysis
Piezoelectricity
Sliding mode control
State estimation
State observers
Subsonic aircraft
Time measurement
Vibration control
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Summary:In this study, an observer based sliding mode control (SMC) scheme is proposed for vibration suppression of subsonic piezo-composite plate in the presence of time varying measurement delay by using the piezoelectric patch (PZT) actuator. Firstly, the state space form of the subsonic piezo-composite plate model is derived by Hamilton’s principle with the assumed mode method. Then an state observer involving time varying delay is constructed and the sufficient condition of the asymptotic stability is derived by using the Lyapunov-Krasovskii function, descriptor method and linear matrix inequalities (LMIs) for the state estimation error dynamical system. Subsequently, a sliding manifold is constructed on the estimation space. Then an observer-based controller is synthesized by using the SMC theory. The proposed SMC strategy ensures the reachability of the sliding manifold in the state estimate space. Finally, the simulation results are presented to demonstrate that the proposed observer-based controller strategy is effective in active aeroelastic control of subsonic piezo-composite plate involving time varying measurement delay.
ISSN:0020-2940
2051-8730
DOI:10.1177/0020294020983373