Estabilização robusta via realimentação de estados amostrados em sistemas LPV: condições polinomiais quadráticas

Abstract

This work addresses the robust stabilization of linear time-varying parameter systems (LPV) with sampled state feedback, using linear matrix inequalities (LMIs) for controller synthesis. By employing the time-varying delay systems approach, a Lyapunov-Krasovskii (L-K) looped functional is proposed, whose time derivative results in a quadratic polynomial whose negativity needs to be ensured. Thus, the negativity of quadratic functions is exploited with Pólya's Theorem, leading to new convex conditions for controller synthesis. Finally, numerical examples illustrate the achievements of the new technique, comparing them with the literature.