19 May 2005 Experimental verification of an analytical bound H norm collocated control approach
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The objective of this paper is to provide an experimental verification of a new H-infinity control scheme on a flexible beam which uses a collocated PZT actuator/sensor pair. We use an analytical bound approach that provides an explicit expression of an upper bound on the H-infinity norm of the closed-loop system and an explicit parametrization of the corresponding output feedback control gains. The method has great computational advantages for large scale structural systems where the solution of H-infinity optimization problems using standard tools could be computationally prohibitive. Both experimental and numerical results are presented that provide a comparison of the performance and the computational requirements on the controller design using the standard H-infinity formulation and the proposed analytical bound approach.
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Robert J. Sweeney, Michael A. Demetriou, Karolos M. Grigoriadis, "Experimental verification of an analytical bound H norm collocated control approach", Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); doi: 10.1117/12.604438; https://doi.org/10.1117/12.604438

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