## Abstract

A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant retarded system with stochastic multiplicative Wiener-type noise, that achieves a minimum bound on the H _{∞} performance level is introduced. The stochastic uncertainties appear in the dynamic matrices, which correspond to the delayed and non-delayed states of the system, and in the measurement matrix of the system. The solution of the H_{∞} static output-feedback control problem is solved, for the stationary case, via the input-output approach where the system is replaced by a non-retarded system that contain, instead, deterministic norm-bounded uncertainties. In this problem, a cost function is defined which is the expected value of the standard H_{∞} performance cost with respect to the stochastic parameters. We extend the results achieved for the nominal case, to the uncertain case where the system matrices lie within a given polytop.

Original language | English |
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Title of host publication | 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 |

Pages | 202-206 |

Number of pages | 5 |

DOIs | |

State | Published - 1 Dec 2010 |

Event | 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 - Eilat, Israel Duration: 17 Nov 2010 → 20 Nov 2010 |

### Publication series

Name | 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 |
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### Conference

Conference | 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 |
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Country/Territory | Israel |

City | Eilat |

Period | 17/11/10 → 20/11/10 |

## ASJC Scopus subject areas

- Electrical and Electronic Engineering

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