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L2-Lā filtering for a class of stochastic nonlinear systemswith aperiodic sampling.
- Source :
- Optimal Control - Applications & Methods; May/Jun2018, Vol. 39 Issue 3, p1158-1167, 10p
- Publication Year :
- 2018
-
Abstract
- Thiswork investigates the problem of L<subscript>2</subscript>-L<subscript>ā</subscript> filtering for a class of stochastic nonlinear systems with nonuniform sampling. The sampled-data filter developed in this paper is an impulsive differential system whose states change abruptly at every sampling instant. The resulting filtering error system is modeled as a stochastic nonlinear impulsive differential system. The goal is to propose a method for designing a target filter that ensures the stochastic asymptotic stability of the filtering error system and guarantees a prescribed L<subscript>2</subscript>-L<subscript>ā</subscript> performance. Based on a time-varying Lyapunov functional, by virtue of a convex combination technique, a design method to achieve such a filter is formulated in the form of solving a set of linear matrix inequalities. The effectiveness of the proposed filtering strategy is shown via a numerical example of a stochastic Chua's circuit system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01432087
- Volume :
- 39
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Optimal Control - Applications & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 129780869
- Full Text :
- https://doi.org/10.1002/oca.2401