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On event-triggered control for integral input-to-state stable systems. (English) Zbl 1408.93124

Summary: In this paper, the stabilization of nonlinear systems by means of event-triggered control is studied. Two kinds of triggering conditions are proposed for a class of systems that only satisfy the integral input-to-state stability with respect to measurement errors. A constant threshold of measurement errors is involved in the first kind of triggering conditions to ensure the ultimately bounded stability, while the second type of triggering conditions is constructed by using a decreasing extra signal as the threshold. The conditions on the extra signal are proposed to guarantee asymptotic stability and exclude Zeno behavior. Moreover, the relationship, between the proposed results and those based on the input-to-state stability, is discussed. Finally, numerical examples are provided to illustrate the efficiency and feasibility of the obtained results.

MSC:

93D25 Input-output approaches in control theory
93D20 Asymptotic stability in control theory
93C65 Discrete event control/observation systems
93C10 Nonlinear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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