Robust output-control for uncertain linear systems: Homogeneous differentiator-based observer approach

Abstract : This paper deals with the design of a robust control for linear systems with external disturbances using a homogeneous differentiator-based observer based on a implicit Lyapunov function approach. Sufficient conditions for stability of the closed-loop system in the presence of external disturbances are obtained and represented by linear matrix inequalities. The parameter tuning for both controller and observer is formulated as a semi-definite programming problem with linear matrix inequalities constraints. Simulation results illustrate the feasibility of the proposed approach and some improvements with respect to the classic linear observer approach.
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Hector Ríos, Manuel Mera, Denis Efimov, Andrey Polyakov. Robust output-control for uncertain linear systems: Homogeneous differentiator-based observer approach. International Journal of Robust and Nonlinear Control, Wiley, 2017, 27 (11), pp.1895-1914. ⟨10.1002/rnc.3643⟩. ⟨hal-01405383⟩

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