期刊
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
卷 17, 期 -, 页码 -出版社
EDP SCIENCES S A
DOI: 10.1051/mmnp/2022040
关键词
Quantization; Lyapunov-Krasovskii; Random Packet Dropouts; Fornasini-Marchesini (FMII) models
This research focuses on the control problem for the Fornasnisi-Marchesini model, which takes into account random packet loss and quantization errors in the network environment. A new modeling method is proposed to achieve better stabilization effects. Random packet dropouts, time delays, and quantization are simultaneously considered in the feedback control problem. A logarithmic quantizer is used for quantizing signal measurements, which are handled by a sector bound method. The random packet dropouts are modeled as a Bernoulli process. The use of the Schur complement helps in lightening the assumptions and both state feedback and observer-based output feedback controllers are designed to ensure asymptotic stability of the closed-loop systems.
This research is devoted to Fornasnisi-Marchesini model (FM). More precisely, the investigation of the control problem for the second model discrete-time FM. The model takes into account the random packet loss and quantization errors in the network environment. So our modelling method has the potential to achieve a better stabilization effects. Random packet dropouts, time delays and quantization are taken into consideration in the feedback control problem simultaneously. Measured signals are quantized before being communicated. A logarithmic quantizer is utilized and quantized signal measurements are handled by a sector bound method. The random packet dropouts are modeled as a Bernoulli process. A control law model which depends on packet dropouts and quantization is formulated. Notably, we lighten the assumptions by using the Schur complement. Besides, both a state feedback controller and an observer-based output feedback controller are designed to ensure corresponding closed-loop systems asymptotically stability. Sufficient conditions on mean square asymptotic stability in terms of LMIs have been obtained. Finally, two numerical example show the feasibility of our theoretical results.
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