\(\mathcal{H}_{2}\) state-feedback control for LPV systems with input saturation and matched disturbance. (English) Zbl 1242.93046
Summary: 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 \(K(\theta (t))\) 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.
MSC:
| 93B52 | Feedback control |
Keywords:
gain scheduling; input saturation; linear parameter-varying (LPV) system; parameter-dependent Lyapunov function (PDLF); disturbance rejectionReferences:
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