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3 April 2008 Switching sliding mode control for a membrane strip with MFC actuators
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A switching sliding mode controller for the static shape control of a membrane strip is considered. The membrane strip is augmented with two macro fiber composite (MFC) bimorphs. MFC patches are modeled as monolithic piezoceramics. The combined structure is modeled as an Euler-Bernoulli beam under tensile load. The two bimorphs are actuated independently. One bimorph operates in bending, whereas the other bimorph operates in tension. The presence of the later causes the system to be nonlinear, hence the use of the sliding mode technique, and gives rise to a structural singularity. To evade this problem, a switching command is introduced. Hence, the closed loop system utilizes a hybrid control law, which can cause stability problems. Fortunately, the same Lyapunov function can be used to analyze the stability of both subsystems. Consequently, the switching is safe, and asymptotic stability is guaranteed. Simulation results are presented to demonstrate the efficacy of the switching slide mode controller.
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Jamil M. Renno, Andrew J. Kurdila, and Daniel J. Inman "Switching sliding mode control for a membrane strip with MFC actuators", Proc. SPIE 6926, Modeling, Signal Processing, and Control for Smart Structures 2008, 692609 (3 April 2008);

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