### Abstract

The robust control of networked predictive control systems with random network delay in the feedback channel is studied in this paper. The stabilisation of systems with constant time-delay is discussed by converting the corresponding Lyapunov inequality to a non-linear inequality. To obtain the maximum domain of uncertainties, the non-linear inequality is evolved as a non-linear optimisation control problem. After the optimisation problem is solved, it yields a controller that can stabilise the system and the domain of uncertainties. Furthermore, for the case of random network induced time-delay, robust stabilisation problem can be formulated as a set of inequalities, which are related to the corresponding constant time-delay, respectively. This result is verified by a numerical example.

Original language | English |
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Title of host publication | IFAC Proceedings Volumes (IFAC-PapersOnline) |

Pages | 103-108 |

Number of pages | 6 |

Volume | 16 |

Publication status | Published - 2005 |

Externally published | Yes |

Event | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic Duration: Jul 3 2005 → Jul 8 2005 |

### Other

Other | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 |
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Country | Czech Republic |

City | Prague |

Period | 7/3/05 → 7/8/05 |

### Fingerprint

### Keywords

- Network
- Predictive control
- Robustness
- Time-delay
- Uncertainty

### ASJC Scopus subject areas

- Control and Systems Engineering

### Cite this

*IFAC Proceedings Volumes (IFAC-PapersOnline)*(Vol. 16, pp. 103-108)

**Robust networked predictive control for systems with random network delay.** / Ouyang, H.; Liu, G. P.; Rees, D.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IFAC Proceedings Volumes (IFAC-PapersOnline).*vol. 16, pp. 103-108, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, Czech Republic, 7/3/05.

}

TY - GEN

T1 - Robust networked predictive control for systems with random network delay

AU - Ouyang, H.

AU - Liu, G. P.

AU - Rees, D.

PY - 2005

Y1 - 2005

N2 - The robust control of networked predictive control systems with random network delay in the feedback channel is studied in this paper. The stabilisation of systems with constant time-delay is discussed by converting the corresponding Lyapunov inequality to a non-linear inequality. To obtain the maximum domain of uncertainties, the non-linear inequality is evolved as a non-linear optimisation control problem. After the optimisation problem is solved, it yields a controller that can stabilise the system and the domain of uncertainties. Furthermore, for the case of random network induced time-delay, robust stabilisation problem can be formulated as a set of inequalities, which are related to the corresponding constant time-delay, respectively. This result is verified by a numerical example.

AB - The robust control of networked predictive control systems with random network delay in the feedback channel is studied in this paper. The stabilisation of systems with constant time-delay is discussed by converting the corresponding Lyapunov inequality to a non-linear inequality. To obtain the maximum domain of uncertainties, the non-linear inequality is evolved as a non-linear optimisation control problem. After the optimisation problem is solved, it yields a controller that can stabilise the system and the domain of uncertainties. Furthermore, for the case of random network induced time-delay, robust stabilisation problem can be formulated as a set of inequalities, which are related to the corresponding constant time-delay, respectively. This result is verified by a numerical example.

KW - Network

KW - Predictive control

KW - Robustness

KW - Time-delay

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=79960706280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960706280&partnerID=8YFLogxK

M3 - Conference contribution

SN - 008045108X

SN - 9780080451084

VL - 16

SP - 103

EP - 108

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -