Nestorović-Trajkov, Tamara; Köppe, Heinz; Gabbert, Ulrich Possibilities of optimal and adaptive control laws design in piezoelectric smart structures. (English) Zbl 1354.74164 PAMM, Proc. Appl. Math. Mech. 3, 138-139 (2003). Summary: Possibilities of the controller design for piezoelectric smart structures are considered in the paper. The model based approach, which relies on the finite element modal analysis of structures, is used. As an alternative, system identification is suggested in cases when the real plant or its prototype is available for studying. Dynamics of piezoelectric active materials used as actuators and sensors is taken into account in the modelling procedure. The aim of control is vibration suppression in the sense of magnitudes reduction as well as the isolation of undesirable frequencies from the response spectra. For known plant models and available a priori information on the type of excitation or disturbances, optimal LQ tracking control systems perform good behavior. Owing to the approximation of the real structure’s behavior by the finite element model and by modal reduction, the full infinite-dimensional dynamics of an elastic structure cannot be completely captured. Introduced inaccuracies could be compensated for if they are viewed as the source of the model parameters variation and therefore by employing adaptive control laws. The adaptive control design is considered from this point of view. The application possibilities are illustrated by examples of piezoelectrically controlled structures. MSC: 74M05 Control, switches and devices (“smart materials”) in solid mechanics 74F15 Electromagnetic effects in solid mechanics 93C40 Adaptive control/observation systems 74S05 Finite element methods applied to problems in solid mechanics × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Berger, Journal of Theoretical and Applied Mechanics 3/38 pp 475– (2000) [2] COSAR - General Purpose Finite Element Package: Manual, FEMCOS GmbH Magdeburg. [3] , , : Modelling, Simulation and Optimal Design of Lightweight Structures. Adaptronic Congress 2003, 1-3 April, Wolfsburg, Germany, Proceedings of the Congress [4] , : Comparison of controller design approaches from a vibration suppression point of view. SPIE’s 10th Annual International Symposium on Smart Structures and Materials, Conference on Modelling, Signal Processing and Control, 2-6 March 2003, San Diego CA - Proceedings (2003), paper No. 5049-39. [5] Viberg, Automatica 31 pp 1835– (1995) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.