Guaranteed cost control of systems with norm bounded uncertainties

Feedback controller design based on an imprecisely known plant model may cause performance degradation and even instability of the closed-loop system. It is therefore important to design robust controllers using a priori information on the model uncertainties. The method presented in this paper considers uncertainties satisfying bounding constraints, and ensures closed-loop stability as well as satisfactory performances characterized by a quadratic cost functional that remains bounded in the presence of uncertainties of the above class.