Abstract
In this brief, a generalized first-order reset element (GFORE) is first introduced, and its reset model is established based on circuit analysis. Then, a new class of models for the high-order reset element (HORE) is established by connecting several GFOREs and, defining a proper flow set and jump sets, the proposed model is more appropriate for describing the behavior of HORE than existing ones. Moreover, stability analysis results are presented for reset control systems containing high-order reset controllers. Finally, examples are given to show the superior performance of the proposed reset model and indicate the application prospect in networked control systems.
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