H∞ output-feedback LPV control for systems with input saturation

This paper investigates the problem of designing a dynamic H∞ output-feedback controller under an L∞ 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∞/L∞ problem is efficiently solved based on the set invariance condition formulated in terms of linear matrix inequalities (LMIs).

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