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Sampled‐parameter dependent stabilization for linear parameter varying systems with asynchronous parameter sampling

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In this paper, we propose a new sampled‐data stabilization method for linear parameter‐varying (LPV) systems with asynchronous parameter sampling. A sampled‐parameter‐dependent controller is designed by considering the sampling of parameters… Click to show full abstract

In this paper, we propose a new sampled‐data stabilization method for linear parameter‐varying (LPV) systems with asynchronous parameter sampling. A sampled‐parameter‐dependent controller is designed by considering the sampling of parameters as well as that of states. Based on a newly proposed sampled‐parameter‐dependent looped‐functional (SPDLF), a relaxed linear matrix inequality (LMI) condition in the parameterized stabilization criteria is derived by considering the deviation bound between the continuous‐time parameter of the plant and the sampled parameter. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.

Keywords: parameter; parameter dependent; linear parameter; sampled parameter; parameter varying; stabilization

Journal Title: International Journal of Robust and Nonlinear Control
Year Published: 2021

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