Title :
Sliding modes in infinite-dimensional dynamic systems with impulse control
Author :
Basin, Michael V.
Author_Institution :
Dept. of Math., Nevada Univ., Reno, NV, USA
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;
Conference_Titel :
Variable Structure Systems, 1996. VSS '96. Proceedings., 1996 IEEE International Workshop on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-3718-2
DOI :
10.1109/VSS.1996.578623
