Gain-scheduling state-feedback control for LPV systems with multiple parameters

This paper introduces linear parameter varying (LPV) model with multiple parameters in the parts affected by the state and the input (LPV-MP) and the state-feedback LPV controller to stabilize the nonlinear system by using the proposed model. Based on LPV-MP, we first formulate the stabilization conditions in terms of parameterized linear matrix inequalities (PLMIs) and design the state-feedback LPV controller using multiple parameters-dependent Lyapunov function (MPDLF). Then, PLMI conditions are converted into LMI conditions by using multiple parameter relaxation technique. The proposed method results in the reduced number of vertices of the polytope and thus results in the decreased computational burden compared with the conventional studies.