Quadratic H2 gain performance analysis of LPV systems with realization of parametric transfer function

Here, the performance analysis and design of state-feedback gain scheduling controller are addressed by using LPV realization of parametric transfer function. First, based on the stable LPV realization of parametric transfer function, if the system has H2 gain performance for all fixed constant parameters, then it has quadratic H2 gain performance with the same bound for all its parameters. Furthermore, according to linear matrix inequality optimal techniques, a simple procedure for achieving the performance index is provided. Then, the state-feedback gain scheduling controller is designed to guarantee the stability and quadratic H2 gain performance for the closed-loop LPV systems. Finally, the effectiveness of the proposed method is verified via a numerical example.