## Abstract

The problem of bounded-variance regulation of an uncertain, linear, continuous-time system, with an unknown norm-bounded parameter matrix, is considered. An upper-bound on the expected value of a quadratic performance index is found for all admissible systems, and regulators are derived that minimize this bound. The resulting regulators consist of a state-feedback gain, and a state-observer. It is found that the design of the feedback gain and the design of the state-observer are separated problems. The design of the observer must account for the fact that the system's uncertainty precludes a precise computation of effect of the known control signal. The tracking problem is also treated, where the output of the controlled system should follow a reference signal that is given in advance.

Original language | English |
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Pages | 3.3.2/1-5 |

State | Published - 1995 |

Event | Proceedings of the 18th Convention of Electrical and Electronics Engineers in Israel - Tel Aviv, Isr Duration: 7 Mar 1995 → 8 Mar 1995 |

### Conference

Conference | Proceedings of the 18th Convention of Electrical and Electronics Engineers in Israel |
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City | Tel Aviv, Isr |

Period | 7/03/95 → 8/03/95 |

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