Title :
Optimal controller for integral Volterra systems with deterministic uncertainties
Author :
Basin, Michael V. ; Valadez Guzman, Irma R.
Author_Institution :
Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de los Garza, Mexico
Abstract :
The optimal linear-quadratic controller problem is treated for unobservable integral Volterra systems with continuous/discontinuous states under deterministic uncertainties, over continuous/discontinuous observations. As a result, the optimal controller equations are obtained in both cases, including the linear equation for the optimally controlled minmax estimate and two Riccati equations for the optimal filter gain matrix and optimal regulator gain matrix constituents.
Keywords :
Riccati equations; linear quadratic control; matrix algebra; uncertain systems; Riccati equations; deterministic uncertainties; discontinuous states; integral Volterra systems; linear equation; optimal controller; optimal filter gain matrix; optimal linear-quadratic controller problem; optimal regulator gain matrix; optimally controlled minmax estimate; Cost function; Equations; Filtering; Integral equations; Mathematical model; Optimal control; Regulators; Bounded uncertainty and errors in variables; optimal control; set-membership estimation and identification for control; time delay systems;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2