### Abstract

We consider nonlinear control systems for which an estimate x of the system state x is available for feedback. We assume x = x+d_{m} where d_{m}(t) is an unknown locally bounded state measurement disturbance. We present conditions under which we can design a smooth feedback law u = μ(x) which renders the mapping from d_{m} to x globally input/output stable. For any initial condition, such a feedback law will guarantee that no finite escape times occur, that bounded disturbances d_{m} produce bounded signals, and that x→0 when d_{m}→0. We show that the class of systems for which such feedback laws exist include systems in strict feedback form. One important application is in the output feedback stabilization problem, where the disturbance d_{m} comes from a separately designed observer.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | Publ by IEEE |

Pages | 1507-1512 |

Number of pages | 6 |

Volume | 2 |

ISBN (Print) | 0780312988 |

State | Published - Dec 1 1993 |

Event | Proceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4) - San Antonio, TX, USA Duration: Dec 15 1993 → Dec 17 1993 |

### Other

Other | Proceedings of the 32nd IEEE Conference on Decision and Control. Part 2 (of 4) |
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City | San Antonio, TX, USA |

Period | 12/15/93 → 12/17/93 |

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

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## Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 2, pp. 1507-1512). Publ by IEEE.