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

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

594

Lastpage

599

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7075973