Examinando por Materia "Identification (control systems)"
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Ítem Characterizing points on discontinuity boundary of Filippov systems(ACTA Press, 2008-01-01) Arango, I.; Taborda, J.A.; Arango, I.; Taborda, J.A.; Universidad EAFIT. Departamento de Ingeniería Mecánica; Mecatrónica y Diseño de MáquinasIn this paper, we presented a basic methodology to understand the behavior of discontinuous piecewise smooth autonomous systems (denominated Filippov systems) in the planar neighborhood of the discontinuity boundary (DB). This methodology is useful in detection of nonsmooth bifurcations in Filippov systems. We propose a classification of the points and events on DB. This classification is more complete in comparison with the reported papers previously. The lines and the points are characterized with didactic symbols and the exclusive conditions for their existence based in geometric criterions. Boolean-valued functions are used to formulate the conditions. An illustrative example with a friction oscillator is presented.Ítem Control and parameter estimation of a mini-helicopter robot using rapid prototyping tools(World Scientific and Engineering Academy and Society (WSEAS) Press, 2006-01-01) Vélez S., C.M.; Agudelo, A.; Universidad EAFIT. Escuela de Ciencias; Modelado MatemáticoThis paper shows the control and parameter estimation of a mini-helicopter robot using a rapid prototyping environment based on Matlab/Simulink. The parameter estimation task is facilitated by the availability of a block-based visual simulation model and its integration in a general Matlab environment, with the feasibility of use of many other tools. The environment is integrated by modules which use common Matlab tools (ground control station, linearization, parameter estimation, heuristic identification) and own modules developed specifically for simulation, state estimation and multirate control. An example is presented in a software-in-the-loop context, showing all possibilities of the software environment including supervisory, estimation, linearization, and control tasks.Ítem Solving stochastic epidemiological models using computer algebra(SPIE-INT SOC OPTICAL ENGINEERING, 2011-01-01) Hincapie, D.; Ospina, J.; Hincapie, D.; Ospina, J.; Universidad EAFIT. Departamento de Ciencias; Lógica y ComputaciónMathematical modeling in Epidemiology is an important tool to understand the ways under which the diseases are transmitted and controlled. The mathematical modeling can be implemented via deterministic or stochastic models. Deterministic models are based on short systems of non-linear ordinary differential equations and the stochastic models are based on very large systems of linear differential equations. Deterministic models admit complete, rigorous and automatic analysis of stability both local and global from which is possible to derive the algebraic expressions for the basic reproductive number and the corresponding epidemic thresholds using computer algebra software. Stochastic models are more difficult to treat and the analysis of their properties requires complicated considerations in statistical mathematics. In this work we propose to use computer algebra software with the aim to solve epidemic stochastic models such as the SIR model and the carrier-borne model. Specifically we use Maple to solve these stochastic models in the case of small groups and we obtain results that do not appear in standard textbooks or in the books updated on stochastic models in epidemiology. From our results we derive expressions which coincide with those obtained in the classical texts using advanced procedures in mathematical statistics. Our algorithms can be extended for other stochastic models in epidemiology and this shows the power of computer algebra software not only for analysis of deterministic models but also for the analysis of stochastic models. We also perform numerical simulations with our algebraic results and we made estimations for the basic parameters as the basic reproductive rate and the stochastic threshold theorem. We claim that our algorithms and results are important tools to control the diseases in a globalized world. © 2011 Copyright Society of Photo-Optical Instrumentation Engineers (SPIE).