Abstract
The study is based on the application of piezoelectric distributed sensors, actuators, and an appropriate feedback and is adopted for stability problems of system consisting of plate with control part governed by partial differential equations with stochastic coefficients. The application of Liapunov method to the Itô equation leads to the effective analytical estimation of a gain velocity feedback implying nonincreasing of the functional along an arbitrary plate motion and in consequence to balance the supplied energy by the parametric excitation and the dissipated energy by the inner and control damping.
This research was supported by the grant from the polish State Committee for Scientific Research (KBN Nr 3P4 009 07)
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© 1996 Springer Science+Business Media Dordrecht
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Tylikowski, A. (1996). Active control of mechanical distributed systems with stochastic parametric excitations. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_30
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DOI: https://doi.org/10.1007/978-0-387-34922-0_30
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