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This paper deals with robust control of saturated systems. It presents a design methodology of sliding mode control of a class of linear systems with the presence of both constraint of saturation and norm bounded uncertainty. The design of the sliding surface is formulated as a problem of root clustering of reduced uncertain system, what leads to the development of a continuous and non-linear control...
This paper addresses the mean-square and mean-module filtering problems for a linear 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 best estimate given by the classical...
This paper addresses the mean-module filtering problem for a linear system with Gaussian white noises. The obtained solution contains a sliding mode term, signum of the innovations process. It is shown that the designed sliding mode filter generates the mean-module estimate, which yields a better value of the mean-module criterion in comparison to the mean-square Kalman-Bucy filter. To the best of...
This paper addresses the mean-square filtering problem for a linear system with Gaussian white noises. The obtained solution contains a sliding mode term, signum of the innovations process. It is shown that the designed sliding mode filter generates the mean-square estimate, which has the same minimum estimation error variance as the best estimate given by the classical Kalman-Bucy filter, although...
This manuscript tackles the regulation problem of linear time invariant systems with unmatched perturbations. A high order sliding mode observer is used allowing theoretically exact state and perturbation estimation. A compensation control approach based on the identified perturbation values is proposed ensuring exact regulation of the unmatched states. A simulation example shows the feasibility of...
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