Sliding modes in infinite-dimensional dynamic systems with impulse control

Author

Basin, Michael V.

Author_Institution

Dept. of Math., Nevada Univ., Reno, NV, USA

fYear

1996

fDate

5-6 Dec 1996

Firstpage

222

Lastpage

227

Abstract

The sliding mode existence and uniqueness problem is studied for a dynamic system with vector impulse control described by an infinite-dimensional differential equation in vector distribution with discontinuous regular functions in a right-hand side. A sliding mode equation is designed to maintain a trajectory on a discontinuity surface. The existence and uniqueness conditions are obtained for a solution to a sliding mode equation. The ellipsoidal filtering problem over discrete-continuous observations is considered as an illustrative example

Keywords

control system synthesis; differential equations; multidimensional systems; variable structure systems; discontinuity surface; discontinuous regular functions; discrete-continuous observations; ellipsoidal filtering problem; infinite-dimensional differential equation; infinite-dimensional dynamic systems; sliding mode equation; vector distribution; vector impulse control; Art; Control systems; Differential equations; Educational institutions; Filtering; Mathematics; Motion control; Motion estimation; Sliding mode control; State estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Variable Structure Systems, 1996. VSS '96. Proceedings., 1996 IEEE International Workshop on

Conference_Location

Tokyo

Print_ISBN

0-7803-3718-2

Type

conf

DOI

10.1109/VSS.1996.578623

Filename

578623