In this letter, we propose a robust Kalman filtering framework for systems with probabilistic uncertainty in system parameters. We consider two cases, namely discrete time systems, and continuous measurements. The uncertainty, characterized by mean variance of the states, is propagated using conditional expectations polynomial chaos expansion framework. results obtained proposed filter are comp...

Based on dynamic modeling, robust trajectory tracking control of attitude and position of a spherical mobile robot is proposed. In this paper, the spherical robot is composed of a spherical shell and three independent rotors which act as the inner driver mechanism. Owing to rolling without slipping assumption, the robot is subjected to two nonholonomic constraints. The state space representatio...

a review of damages caused by landslide shows the need for studying effective parameters in landslide occurrence and prediction. this study aims to improve landslide prediction results for tutkabon region in gilan province. to this end, shannon entropy theory was employed for modeling and considering data uncertainty. slope, height, geomorphologic conditions, earth’s curve, closeness to river, ...

A class of control systems, modeled as a finite set of differential equations with parameters uncertainty and with sector bounded nonlinearities is considered. Each model of this family describes the individual mode (or regime) of the system. The transitions between these modes are described by a homogeneous Markov chain. At the moment of discontinuous mode change the state vector can be change...

In this paper, we present a new idea for robust project scheduling combined with a cost-oriented uncertainty investigation. The result of the new approach is a makespan minimal robust proactive schedule, which is immune against the uncertainties in the activity durations and which can be evaluated from a cost-oriented point of view on the set of the uncertain-but-bounded duration and cost param...

. introduction global warming and its result, climate change is an important subject investigated especially in the recent decades by researchers throughout the world. in these studies, at first, climatic parameters changes are investigated. considering many uncertainties in the parameters estimation, it is better to choose a method in order to study and analyze the uncertainty band due to diff...