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**On the model-based control of networked systems.**
*(English)*
Zbl 1027.93023

The paper deals with the control of linear plants in which the sensor is connected to a linear controller/actuator via a network. It analyzes the effect of reducing the number of data packet exchanges between the sensor and the controller/actuator, and it provides the maximum allowed transfer time between the sensor and the actuator in order that the system be stable. The key idea is to use the knowledge one may have about the plant dynamics to approximate the plant behaviour during the time periods when the sensor is not available. An illustrative artificial example is provided.

Reviewer: Guy Jumarie (Montréal)

### MSC:

93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |

93D15 | Stabilization of systems by feedback |

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\textit{L. A. Montestruque} and \textit{P. J. Antsaklis}, Automatica 39, No. 10, 1837--1843 (2003; Zbl 1027.93023)

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### References:

[1] | Bamieh, B.; Pearson, J. B.; Francis, B.; Tannenbaum, A., A lifting technique for linear periodic systems with applications to sampled-data control, Systems and Control Letters, 12, 79-88 (1991) · Zbl 0747.93057 |

[7] | Mirkin, L.; Rotstein, H.; Palmor, H., \(H_2\) and \(H_{inf}\) design of sampled-data systems using lifting. Part I: General framework and solutions, SIAM Journal of Control and Optimization, 38, 1, 175-196 (1999) · Zbl 0938.93041 |

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