Abstract
The problem of adaptive observer synthesis for a class of Lipschitz nonlinear systems is investigated. A new algorithm to the design of adaptive observer scheme is proposed and the respective observer gains are obtained through the solution of a Riccati equation with linear constraints. Solvability conditions for such a Constrained Riccati Problem (CRP) are derived and a systematic algorithm for obtaining adaptive observers which guarantee the error convergence of the state estimates is provided.
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