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Keywords:
nonlinear observer; linear matrix inequality; virtual outputs; direct Lyapunov method
nonlinear observer; linear matrix inequality; virtual outputs; direct Lyapunov method
Summary:
Sufficient conditions in the form of linear matrix inequalities for design of a novel nonlinear unknown-input MIMO observer are given in this paper. The proposed scheme uses knowledge of real and virtual outputs in order to express the unknown input dynamics, based on which an extended observer-error system is obtained. Asymptotic stability of this system is ensured by means of exact factorization of the error signal, convex rewriting of expressions in a region of interest, finite-time estimation of a set of time derivatives of the system outputs, and the direct Lyapunov method. As examples show, the proposal is able to successfully reconstruct states, inputs, faults, and disturbances, where former methodologies fail.
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