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An ISS self-triggered implementation of linear controllers. (English) Zbl 1205.93081
Summary: Nowadays control systems are mostly implemented on digital platforms and, increasingly, over shared communication networks. Reducing resources (processor utilization, network bandwidth, etc.) in such implementations increases the potential to run more applications on the same hardware. We present a self-triggered implementation of linear controllers that reduces the amount of controller updates necessary to retain stability of the closed-loop system. Furthermore, we show that the proposed self-triggered implementation is robust against additive disturbances and provide explicit guarantees of performance. The proposed technique exhibits an inherent trade-off between computation and potential savings on actuation.

MSC:
93C40 Adaptive control/observation systems
93B18 Linearizations
93C05 Linear systems in control theory
93B35 Sensitivity (robustness)
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