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Consistent approximations of the control - Affine systems with bounded uncertainties: Application to the controlled lotka - Volterra dynamics
(Institute of Electrical and Electronics Engineers Inc., 2019-01-01) Azhmyakov V.; Londono C.; Osorio P.; Rojas A.; Puerta M.E.; Trujillo L.A.G.; Azhmyakov V.; Londono C.; Osorio P.; Rojas A.; Puerta M.E.; Trujillo L.A.G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Our contribution is devoted to constructive approximations of a wide class of the modern control systems, namely, of the general control-affine dynamic models. We consider the generic tracking control problem associated with the control-affine systems in the presence of bounded uncertainties. The conventional linearization based solution approach to the tracking problem under consideration is finally refined and extended by a novel analytic errors estimation technique. Theoretic results developed in our contribution are applied to a practically motivated example of the controlled Lotka-Volterra system. © 2019 IEEE.