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Mixed ℋ2/ℋ∞ State-Feedback Control of Continuous-Time Markov Jump Systems with Partial Observations of the Markov Chain

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Abstract We study the mixed ℋ2/ℋ∞ state-feedback control of continuous-time Markov jump linear systems considering that the Markov chain is not observable, with the only information available to the controller… Click to show full abstract

Abstract We study the mixed ℋ2/ℋ∞ state-feedback control of continuous-time Markov jump linear systems considering that the Markov chain is not observable, with the only information available to the controller coming from the output of a fault-detection and isolation device. We present sufficient design conditions given in terms of linear matrix inequalities so that the closed-loop system is stable and its ℋ2 and ℋ∞ norms are bounded. We present an illustrative example in which we investigate the behavior of the proposed algorithm.

Keywords: mixed state; feedback control; control continuous; continuous time; state feedback; time markov

Journal Title: IFAC-PapersOnLine
Year Published: 2020

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