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In the last two decades the car pursuit problem has been heavily studied, mainly because it is a viable solution to minimize the occurrence of accidents on the road. The controller design usually considers that all measured signals are transmitted by a perfect network and that sensors and actuators do not fail. In a real implementation, these equipments may present failure and the network quality...
This paper addresses the ℋ∞ and the ℋ2 filtering design problems for linear systems whose outputs are transmitted through a Markovian channel. Previous works have used simplified Gilbert-Elliot network channel models to address burst errors in the output. We will use a generalized Gilbert-Elliot model, increasing the number of Markov modes. With this extended model it is not possible anymore to know...
This paper is concerned with ℋ2 and ℋ∞ filter design for discrete-time Markov jump systems. The Markov chain is used to model a lossy network and two different strategies used in practice are compared for the event of packet dropout. The zero-input strategy consists of providing the filter with null input in case of dropout, while the hold-input strategy consists of using the previous successfully...
This article addresses the filtering design problem for discrete‐time Markov jump linear systems (MJLS) under the assumption that the transition probabilities are not completely known. We present the methods to determine ℋ︁2‐ and ℋ︁∞‐norm bounded filters for MJLS whose transition probability matrices have uncertainties in a convex polytope and establish an equivalence with the ones with partly unknown...
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