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**Modelling and optimal controller design of networked control systems with multiple delays.**
*(English)*
Zbl 1050.93038

The authors approach the problem of modeling and control of network control systems containing sensors, actuators and controllers distributed and interconnected by a common communication network. The modeling algorithm takes into consideration multiple inputs and multiple outputs as well as distributed communication delay. The inputs to the plant are piecewise constant and the stability analysis is based on discrete-time models. The proposed model is used as a basis for optimal controller design. Several simulation studies are presented at the end of the paper.

Reviewer: Liviu Goras (Iaşi)

### MSC:

93C23 | Control/observation systems governed by functional-differential equations |

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\textit{F.-L. Lian} et al., Int. J. Control 76, No. 6, 591--606 (2003; Zbl 1050.93038)

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### References:

[1] | BRANICKY, M. S., PHILLIPS, S. M. and ZHANG, W. Stability of networked control systems: explicit analysis of delay. Proceedings of 2000 American Control Conference. Chicago, IL, USA. pp.2352–2357. |

[2] | DOI: 10.1007/BFb0027478 · Zbl 0901.00019 |

[3] | FRANKLIN G. F., Digital Control of Dynamic Systems, (1998) |

[4] | GÖKTAS, F., SMITH, J. M. and BAICSY, R. {\(\mu\)}-Synthesis for distributed control systems with network-induced delays. Proceedings of the 35th Conference on Decision and Control. Kobe, Japan. pp.813–814. |

[5] | GÖKTAS, F., SMITH, J. M. and BAJCSY, R. Telerobotics over communication networks. Proceedings of the 36th Conference on Decision and Control. San Diego, CA, USA. pp.2399–2404. |

[6] | GÓRECKI H., Analysis and Synthesis of Time Delay Systems (1989) · Zbl 0695.93002 |

[7] | DOI: 10.1016/S0167-6911(97)00032-7 · Zbl 0901.93047 |

[8] | DOI: 10.1080/002071799220092 · Zbl 0959.93053 |

[9] | DOI: 10.1016/S0005-1098(98)00045-4 · Zbl 0951.93059 |

[10] | DOI: 10.1115/1.3152698 |

[11] | DOI: 10.1016/S0016-0032(96)00058-0 · Zbl 0887.93049 |

[12] | DOI: 10.1016/0005-1098(96)00055-6 · Zbl 0854.93057 |

[13] | KIM, Y. H., KWON, W. H. and PARK, H. S. Stability and a scheduling method for network-based control systems. IECON Proceedings. Taipei,_Taiwan. pp.934–939. |

[14] | DOI: 10.1080/00207179408923111 · Zbl 0812.93073 |

[15] | LEWIS F. L., Optimal Control (1986) |

[16] | DOI: 10.1109/9.618244 · Zbl 0889.93050 |

[17] | DOI: 10.1109/37.898793 |

[18] | LIAN, F.L., MOYNE, J. R. and TILBURY, D. M. Analysis and modeling of networked control systems: MIMO case with multiple time delays. Proceedings of 2001 American Control Conference. Arlington, VA, USA. pp.4306–4312. |

[19] | DOI: 10.1109/87.987076 |

[20] | LIAN, F.L., MOYNE, J. R. and TILBURY, D. M. Optimal controller design and evaluation for a class of networked control systems with distributed constant delays. Proceedings of 2002 American Control Conference. Anchorage, AL, USA. pp.3009–3014. |

[21] | DOI: 10.1109/9.728876 · Zbl 0984.93030 |

[22] | MALEK-ZAVAREI M., Time-Delay Systems: Analysis, Optimization and Applications (1987) · Zbl 0658.93001 |

[23] | MARSHALL J. E., Control of Time-Delay Systems (1979) · Zbl 0452.93002 |

[24] | NILSSON, J. 1998. ”Real-time control systems with delays”. Lund, Sweden: Lund Institute of Technology. PhD thesis · Zbl 0908.93073 |

[25] | NILSSON, J. and BERNHARDSSON, B. LQG control over a Markov communication network. Proceedings of the 36th Conference on Decision and Control. San Diego, CA, USA. pp.4586–4591. |

[26] | DOI: 10.1016/S0005-1098(97)00170-2 · Zbl 0908.93073 |

[27] | OGUZTORELI M. N., Time-lag Control Systems (1966) |

[28] | DOI: 10.1080/002071797223271 · Zbl 0890.93082 |

[29] | WALSH, G. C., BELDIMAN, O. and BUSHNELL, L. Asymptotic behavior of networked control systems. Proceedings of the International Conference on Control Applications. Hawaii, USA. pp.1448–1453. · Zbl 1006.93040 |

[30] | WALSH, G. C., YE, H. and BUSHNELL, L. Stability analysis of networked control systems. Proceedings of the American Control Conference. San Diego, CA, USA. pp.2876–2889. |

[31] | WITTENMARK, B., NILSSON, J. and TORNGREN, M. Timing problems in real-time control systems. Proceedings of American Control Conference. Seattle, WA, USA. pp.2000–2004. |

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