Event-triggered boundary feedback control for networked reaction-subdiffusion processes with input uncertainties. (English) Zbl 1457.93057
This paper is concerned with the event-triggered boundary feedback control problems for networked reaction-subdiffusion processes governed by time fractional reaction-diffusion systems with unknown time-varying input uncertainties over sensor/actuator networks. The event-triggered boundary state feedback controller is first designed and implemented via backstepping technique. It is realized that the availability of full-state measurements in many practical applications may be impossible due to the difficulties in measuring. To solve this limitation, an extended Luenberger observer that embeds within the networked sensor to estimate the whole states of the systems under consideration is designed. Based on this, the boundary output feedback event-triggered implementation of the studied system in the context of sensor/actuator networks is then proposed. It is shown that both two kinds of event-triggered strategies could significantly asymptotically stabilize the estimation with the Zeno phenomenon being excluded. Two numerical illustrations are finally included.
Reviewer: Tiit Riismaa (Tallinn)
MSC:
| 93C65 | Discrete event control/observation systems |
| 93B52 | Feedback control |
| 93B70 | Networked control |
| 93C20 | Control/observation systems governed by partial differential equations |
| 35K57 | Reaction-diffusion equations |
Keywords:
networked reaction-subdiffusion processes; time fractional reaction-diffusion systems; event-triggered control; input uncertainties; back-steppingReferences:
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