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Journal Articles International Journal of Control Year : 2010

Quantised control of nonlinear systems: analysis of robustness to parameter uncertainty, measurement errors, and exogenous disturbances

Alessio Franci
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Antoine Chaillet

Abstract

We propose a variant of the recently introduced strategy for stabilisation with limited information by D. Liberzon and J.P. Hespanha and analyse its robustness properties. We show that, if the nominal plant can be made input-to-state stable with respect to measurement errors, parameter uncertainty and exogenous disturbances, then this robustness is preserved with this quantised feedback. More precisely, if a sufficient bandwidth is available on the communication network, then the resulting closed loop is shown to be semiglobally input-to-state practically stable.

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Dates and versions

hal-00546723 , version 1 (14-12-2010)

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Alessio Franci, Antoine Chaillet. Quantised control of nonlinear systems: analysis of robustness to parameter uncertainty, measurement errors, and exogenous disturbances. International Journal of Control, 2010, 83 (12), pp.2453-2462. ⟨10.1080/00207179.2010.529464⟩. ⟨hal-00546723⟩
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