Computational Analysis for the Dynamical System Associated to an Access Control Structure
Adela Ionescu *
Department of Applied Mathematics, University of Craiova, A. I. Cuza Str No. 13, 200585 Craiova, Romania.
Daniela Coman
Faculty of Mechanics, University of Craiova, Calugareni Str. No. 1, 220032 Dr. Tr. Severin, Romania.
Sonia Degeratu
Faculty of Electrical Engineering, University of Craiova, Decebal Str No. 107, 200440 Craiova, Romania.
*Author to whom correspondence should be addressed.
Abstract
This paper presents some analytical considerations regarding the dynamical behavior of an access control structure, based on the mathematical model associated to this structure. This structure type is largely analyzed in the literature. A modern approach of this structure based on SMA (shape memory alloy) is taken into account, because of some particular advantages: unique characteristics (superelastic effect, as well as the single and double shape memory effects), damping capacity of noise and vibration, resistance to fatigue, diversification of the control and command possibilities.
The basic aim is the qualitative analysis of the mathematical model associated to this structure. Namely, the dynamic system associated to the variation of the angle q describing the position of the access control structure is analyzed from the influence of parameters standpoint. The MAPLE11 soft is used in order to evaluate the behavior of the equation solution with respect to the parameters variation.
This analysis produces a data collection which is useful both for further developing a fuzzy logic controller for the active control of this access structure and for further refinements of the mathematical model associated to this structure type.
Keywords: Discrete-time systems, automated systems, sensitivity, simulation