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ℋ2 and ℋ∞ Filtering for Continuous-Time Markov Jump Lur'e Systems with Sector Bound Optimization

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This paper is about the and filtering of Markov Jump Systems subject to a class of nonlinearities which include them on the Lur'e systems framework. The proposed filters are robust… Click to show full abstract

This paper is about the and filtering of Markov Jump Systems subject to a class of nonlinearities which include them on the Lur'e systems framework. The proposed filters are robust to nonlinearities belonging to a given sector with maximum slope. With regard to the availability of the Markov parameter, we present strategies which allow us to design either mode-dependent and modeindependent filters, with sector bound optimisation. The results are illustrated by two examples.

Keywords: lur systems; sector bound; sector; markov jump; filtering continuous

Journal Title: International Journal of Control
Year Published: 2022

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