H∞ Output-Feedback LPV Control for Systems with Input Saturation

This paper investigates the problem of designing a dynamic H-infinity output-feedback controller under an L-infinity performance representing componentwise input constraints. In order to derive a less conservative stabilization condition therein, this paper introduces a Lyapunov function-based polytopic control law and proposes a method capable of applying the information on interpolation parameters appearing in the procedure of representing saturation nonlinearity as convex polytope. Through this paper, the resultant H-infinity/L-infinity problem is efficiently solved based on the set invariance condition formulated in terms of linear matrix inequalities (LMIs).