Abstract
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.
Highlights
Aeroelastic phenomenon is a kind of harmful vibration, which results from the interaction between aerodynamics, inertial force, and structural dynamics
The model of the subsonic plate is chosen as the high-dimensional aeroelastic system, and we focus on observer-based controller design for the system with time varying measurement delay
An observer based sliding mode controller was proposed for active aeroelastic control of subsonic piezo-composite plate subject to time varying measurement delay
Summary
Aeroelastic phenomenon is a kind of harmful vibration, which results from the interaction between aerodynamics, inertial force, and structural dynamics. A fault tolerant observer was designed to estimate the wing flutter states for control system All these studies are about 2D airfoil aeroelastic system with wing flap as the control surface. Inspired from this, the purpose of this study lies in the design of an observerbased sliding mode controller for the vibration suppression of a high-dimensional aeroelastic system with time varying measurement delay, using the piezoelectric actuator. By using the PZT actuator, we have studied the observer-based SMC scheme for suppressing bending-torsion coupling flutter motions of a wing aeroelastic system with constant time measurement delay.[31] In this paper, the model of the subsonic plate is chosen as the high-dimensional aeroelastic system, and we focus on observer-based controller design for the system with time varying measurement delay. VðtÞ tp is the electric intensity, and V(t) represents the input voltage
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