Abstract
In this paper, the problem of output feedback stabilization of linear systems with mismatched uncertainties is investigated. A new approach to the design of output feedback controller is proposed, and the respective output feedback gains are obtained through the solution of a Riccati equation with linear constraints. Solvability conditions for such a constrained Riccati problem are derived, and a systematic algorithm for obtaining an output feedback controller, which guarantees the system state is globally exponentially stable, is provided.
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