## Abstract

This paper is concerned with the H-2 and H-infinity control problems in networked control framework, dealing specifically with cases where the communication between the components is made via a multi-hop network susceptible to packet loss, which is modeled by a Markov chain with Bernoulli distribution. The aim is to investigate the trade-off between the network resource saving and the closed-loop performance degradation in the context of state-feedback control. The performance of the control design is measured by means of the H-2 and H-infinity norms. Two main topics are evaluated: i) The influence of the initial probability distribution on the design of the controller; and ii) The relationship between the expected value of the output signal energy and the probability of successful transmissions (associated with the maximum allowable transmission per data packet) for a given transport scheme and a given performance criterion. The results are applied in a case study based on a linearized numerical model of the Furuta's inverted pendulum.

Original language | English |
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Pages (from-to) | 2377-2384 |

Number of pages | 8 |

Journal | Ieee latin america transactions |

Volume | 16 |

Issue number | 9 |

DOIs | |

Publication status | Published - Sept-2018 |

## Keywords

- Networked control systems
- H-2 and H-infinity state-feedback control
- Multi-hop network
- Semi-reliable communication network
- Markov jump linear systems
- JUMP LINEAR-SYSTEMS