Sliding mode observers: a survey
International Journal of Systems Science
Information Sciences: an International Journal
Direct adaptive fuzzy control for nonlinear systems with time-varying delays
Information Sciences: an International Journal
Sliding mode optimal regulator for a Bolza-Meyer criterion with non-quadratic state energy terms
ACC'09 Proceedings of the 2009 conference on American Control Conference
Optimal fuzzy control system using the cross-entropy method. A case study of a drilling process
Information Sciences: an International Journal
Information Sciences: an International Journal
MIMO adaptive fuzzy terminal sliding-mode controller for robotic manipulators
Information Sciences: an International Journal
Information Sciences: an International Journal
Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
Automatica (Journal of IFAC)
Controller design for rigid spacecraft attitude tracking with actuator saturation
Information Sciences: an International Journal
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This paper addresses the mean-square and mean-module filtering problems for a nonlinear polynomial stochastic system with Gaussian white noises. The obtained solutions contain a sliding mode term, signum of the innovations process. It is shown that the designed sliding mode mean-square filter generates the mean-square estimate, which has the same minimum estimation error variance as the estimate given by the conventional mean-square polynomial filter Basin et al. (2008) [8], although the gain matrices of both filters are different. The designed sliding mode mean-module filter generates the mean-module estimate, which yields a better value of the mean-module criterion in comparison to the conventional mean-square polynomial filter. The theoretical result is complemented with an illustrative example verifying performance of the designed filters. It is demonstrated that the estimates produced by the designed sliding mode mean-square filter and the conventional mean-square polynomial filter yield the same estimation error variance, and there is an advantage in favor of the designed sliding mode mean-module filter.