| Summary: | This article utilizes the Youla parameterization method to design a switching linear parameter-varying (LPV) output-feedback controller. The switching controller consists of several LPV controllers designed in advance and independently with corresponding <inline-formula> <tex-math notation="LaTeX">$\text{H} \infty $ </tex-math></inline-formula> performance. Based on the Youla parameterization idea, the controller design procedure is decomposed into two steps. First, a central controller is designed to ensure global <inline-formula> <tex-math notation="LaTeX">$\text{H} \infty $ </tex-math></inline-formula> performance. Second, a switching controller is constructed to achieve the <inline-formula> <tex-math notation="LaTeX">$\text{H} \infty $ </tex-math></inline-formula> performance in each subset under arbitrary switching. This scheme is designed to develop state-space realizations of Youla parameters from the central controller. The realizations not only ensure that the closed-loop system satisfies the <inline-formula> <tex-math notation="LaTeX">$\text{H} \infty $ </tex-math></inline-formula> performance under arbitrary switching but also guarantees the corresponding <inline-formula> <tex-math notation="LaTeX">$\text{H} \infty $ </tex-math></inline-formula> performance for local subsystem at each fixed point. The simulation results show the effectiveness of the proposed method.
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