Switching sliding mode control for a memberane strip with MFC actuators

Renno, Jamil M., Kurdila, Andrew J. and Inman, Daniel J. (2008) Switching sliding mode control for a memberane strip with MFC actuators. In, Lindner, Douglas K. (ed.) Modeling, Signal Processing, and Control for Smart Structures 2008. (Proceedings of SPIE, 6926) Modeling, Signal Processing and Control for Smart Sturctures, San Diego, California, USA, 10-12 March 2008 (10/03/08 - 10/03/08) Bellingham, USA. SPIE - The International Society for Optical Engineering, 692609-[12pp]. (doi:10.1117/12.776392).

Abstract

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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