Abstract
This paper proposes a controller design for linear parameter-varying (LPV) systems with input saturation and a matched disturbance. On the basis of the feedback gain matrix K(θ(t)) and the Lyapunov function V(x(t)), three types of controllers are suggested under \({\mathcal{H}}_{2}\) performance conditions. To this end, the conditions used for designing the \({\mathcal{H}}_{2}\) state-feedback controller are first formulated in terms of parameterized linear matrix inequalities (PLMIs). They are then converted into linear matrix inequalities (LMIs) using a parameter relaxation technique. The simulation results illustrate the effectiveness of the proposed controllers.
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Park, B.Y., Yun, S.W. & Park, P. \(\mathcal{H}_{2}\) state-feedback control for LPV systems with input saturation and matched disturbance. Nonlinear Dyn 67, 1083–1096 (2012). https://doi.org/10.1007/s11071-011-0052-0
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DOI: https://doi.org/10.1007/s11071-011-0052-0