Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume -, Issue -, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2023.3235731
Keywords
Regulation; Behavioral sciences; Uncertain systems; Linear systems; Output feedback; Asymptotic stability; Nonlinear dynamical systems; Event-triggered control; linear uncertain systems; output feedback; robust output regulation; Zeno behavior
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This article investigates the robust output regulation problem of the linear uncertain system using the event-triggered control approach. In contrast to previous methods, a class of event-triggered control laws is developed to achieve exact output regulation while explicitly excluding the Zeno behavior for all time.
In this article, the robust output regulation problem of the linear uncertain system is investigated by the event-triggered control approach. Recently, the same problem is addressed by an event-triggered control law where the Zeno behavior may happen when time tends to infinity. In comparison, a class of event-triggered control laws is developed to achieve output regulation exactly, and meanwhile, explicitly exclude the Zeno behavior for all time. In particular, a dynamic triggering mechanism is first developed by introducing a dynamic changing variable with specific dynamics. Then, by the internal model principle, a class of dynamic output feedback control laws is designed. Later, a rigorous proof is provided to show that the tracking error of the system converges to zero asymptotically while prohibiting the Zeno behavior for all time. Finally, we give an example to illustrate our control approach.
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