Observability Singularity of Batch Reactor: A Solution Based on High Order Sliding Mode Differentiator Approach

Abstract : This paper deals with the observability singularity problem of batch IH{bioreactors} on the positive Orthant. This singularity is overcame by the dedicated approach IH{based} on the well-known high order sliding mode differentiator proposed by Arie Levant and the resolution of simple second order equation. Nevertheless, it is difficult to distinguish between both solutions, but the second output differentiation gives an appropriate test procedure for choice between both solutions. Some simulation results highlight the well-founded of the proposed method.
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Ihab Haidar, Jean-Pierre Barbot, Alain Rapaport, Malek Ghanes. Observability Singularity of Batch Reactor: A Solution Based on High Order Sliding Mode Differentiator Approach. ASCC 2017 - 11th Asian Control Conference , Dec 2017, Gold Coast, Australia. pp.336-338, ⟨10.1109/ASCC.2017.8287190⟩. ⟨hal-01722544⟩

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