LMI-Based Control Design with Robust Local Stability Guarantees for Linear Discrete-Time Systems with Input Saturations

In this work we provide a data-based controller design method for uncertain input-saturated linear systems, where conditions based on linear matrix inequalities (LMIs) are exploited to guarantee robust global and regional closed-loop stability. The method is tested in simulation on a realistic case-study: the trade-off between performances and the region of validity of the established stability conditions is analysed.