Induced L₂ norm control for LPV system with specified class of disturbance inputs

This paper presents a novel controller design approach for linear parameter-varying (LPV) systems to guarantee the stability with an induced L₂ norm performance. Motivated by the idea of the generalized Kalman-Yakubovich-Popov (KYP) lemma, the spectral information of the disturbance inputs can be captured by a matrix-valued integral quadratic constraint. To a certain extent, this formulation not only weakens the function of weighting functions in the control synthesis but also reduces the order of the designed controller. The obtained controller design conditions for LPV systems are presented in terms of linear matrix inequalities (LMIs), which can be solved efficiently by the standard Matlab toolbox. The effectiveness of the proposed method is verified by solving a missile benchmark problem.