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Multiple event‐triggered schemes for a class of switched descriptor systems with asynchronous switching

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This article studies asynchronous switching for a class of switched descriptor systems (SDSs) under multiple event‐triggered schemes (ETSs). First, by using a mode‐dependent coordinates transformation, a SDS is equivalently transformed… Click to show full abstract

This article studies asynchronous switching for a class of switched descriptor systems (SDSs) under multiple event‐triggered schemes (ETSs). First, by using a mode‐dependent coordinates transformation, a SDS is equivalently transformed into a reduced‐order ordinary switched linear system with state jumps. Then, multiple ETSs are used to transmit the state and switching signal information. The asynchronism between system modes and controller modes inevitably happens in a switching interval. Next, by constructing a controller‐mode‐dependent Lyapunov functional and using the asynchronous switching strategy, an exponential stability criterion is presented for the closed‐loop system with average dwell time switching signals. Meanwhile, the state feedback controller and multiple ETSs are codesigned. Besides, the Zeno behavior is avoided. In the end, the validity of the proposed method is demonstrated by a numerical example.

Keywords: switched descriptor; descriptor systems; asynchronous switching; class switched; multiple event; event triggered

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

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