Abstract
This chapter introduces the concepts of observability and observer for linear systems, as well as the concept of sliding mode. It is demonstrated how to build an observer for a linear dynamical system with unknown inputs. The determination of the observer's gain in order to ensure convergence leads to the solution of an LMI issue (bilinear matrix inequalities). The technique based on a change of variables is used to resolve these LMI restrictions, allowing the matrices characterizing the observer to be determined.
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Etlili, D., Naifar, O., Errachdi, A. (2022). Observers with Unknown Inputs of Linear Systems. In: Naifar, O., Ben Makhlouf, A. (eds) Advances in Observer Design and Observation for Nonlinear Systems. Studies in Systems, Decision and Control, vol 410. Springer, Cham. https://doi.org/10.1007/978-3-030-92731-8_4
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DOI: https://doi.org/10.1007/978-3-030-92731-8_4
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