State feedback controller design for affine parameter-dependent LPV systems

International audienceAffine quadratic stability (AQS) is usually devoted to stability analysis of the linear parameter-varying (LPV) system. In this paper, the main contribution is to put forward state feedback control methods for the affine parameter-dependent LPV system based on AQS, guaranteed cost control and LPV linear quadratic regulator (LQR) included for good control performance, and test their conservatism. The parameter-dependent Lyapunov function from AQS could be transformed to linear matrix inequality (LMI) problems for tractability, and the convexity would ensure avoidance of solving infinite LMIs. In this way, parameter-dependent state feedback controllers could be gotten, and comparison between them is applied to analyze the admitted conservatism numerically by simulation results