Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 32, Issue 14, Pages 7860-7878Publisher
WILEY
DOI: 10.1002/rnc.6253
Keywords
event-triggering; i; i; d; packet dropouts; mean square stability; quantized control; transmission delay
Funding
- Key Science and Technology Project of Anhui Province [202203f07020002]
- National Natural Science Foundation of China [61973289]
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This article studies the quantized control problem of a scalar continuous-time linear system over a digital network. By analyzing the evolution of the uncertainty set of the system state, a lower bound on the necessary bit rate for any event-triggered strategy is derived, and a control strategy combining event-triggering and time-triggering is proposed to stabilize the system. Numerical examples are provided to illustrate the obtained results.
This article studies the quantized control problem of a scalar continuous-time linear system over a digital network. The network is subject to bounded transmission delay and independent and identically distributed packet dropouts. Event-triggered sampling is implemented in the system. We first derive a lower bound on the necessary bit rate for any event-triggered strategy by analyzing the evolution of the uncertainty set of the system state. Then we propose a control strategy which combines both event-triggering and time-triggering to stabilize the system. Note that our control strategy implements a dynamic encoding policy, under which the number of quantization bits is dependent on dropouts. Although the average bit rate occupied by our control strategy is higher than the obtained lower stabilizing bit rate bound, their gap can arbitrarily approach zero by relaxing the integer requirement of the number of quantization bits. Numerical examples are given to illustrate the derived results.
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