### Abstract

We propose a global high-gain scaling based observer/controller for systems in the uncertain generalized output-feedback canonical form. Time-varying nonlinear parametric uncertainty is allowed to occur coupled with unmeasured states in the system dynamics. This represents a significant generalization from existing results which allow unknown parameters only in output-dependent terms. This restriction in previous results is mainly owing to the fact that no general solution is known for systems involving bilinear terms in unmeasured states. The design utilizes the dual architecture of a high-gain observer and controller with the underlying state scaling being dynamically output-dependent. The proposed observer/controller structure provides a globally asymptotically stabilizing output-feedback solution for the benchmark open problem proposed in our earlier work with the provision that a magnitude bound on the unknown parameter be given.

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

Pages | 1503-1508 |

Number of pages | 6 |

Volume | 2 |

State | Published - 2002 |

Event | 41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: Dec 10 2002 → Dec 13 2002 |

### Other

Other | 41st IEEE Conference on Decision and Control |
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Country | United States |

City | Las Vegas, NV |

Period | 12/10/02 → 12/13/02 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 2, pp. 1503-1508)

**Generalized adaptive output-feedback form with unknown parameters multiplying high output relative-degree states.** / Krishnamurthy, P.; Khorrami, Farshad.

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 2, pp. 1503-1508, 41st IEEE Conference on Decision and Control, Las Vegas, NV, United States, 12/10/02.

}

TY - GEN

T1 - Generalized adaptive output-feedback form with unknown parameters multiplying high output relative-degree states

AU - Krishnamurthy, P.

AU - Khorrami, Farshad

PY - 2002

Y1 - 2002

N2 - We propose a global high-gain scaling based observer/controller for systems in the uncertain generalized output-feedback canonical form. Time-varying nonlinear parametric uncertainty is allowed to occur coupled with unmeasured states in the system dynamics. This represents a significant generalization from existing results which allow unknown parameters only in output-dependent terms. This restriction in previous results is mainly owing to the fact that no general solution is known for systems involving bilinear terms in unmeasured states. The design utilizes the dual architecture of a high-gain observer and controller with the underlying state scaling being dynamically output-dependent. The proposed observer/controller structure provides a globally asymptotically stabilizing output-feedback solution for the benchmark open problem proposed in our earlier work with the provision that a magnitude bound on the unknown parameter be given.

AB - We propose a global high-gain scaling based observer/controller for systems in the uncertain generalized output-feedback canonical form. Time-varying nonlinear parametric uncertainty is allowed to occur coupled with unmeasured states in the system dynamics. This represents a significant generalization from existing results which allow unknown parameters only in output-dependent terms. This restriction in previous results is mainly owing to the fact that no general solution is known for systems involving bilinear terms in unmeasured states. The design utilizes the dual architecture of a high-gain observer and controller with the underlying state scaling being dynamically output-dependent. The proposed observer/controller structure provides a globally asymptotically stabilizing output-feedback solution for the benchmark open problem proposed in our earlier work with the provision that a magnitude bound on the unknown parameter be given.

UR - http://www.scopus.com/inward/record.url?scp=0036990335&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036990335&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 1503

EP - 1508

BT - Proceedings of the IEEE Conference on Decision and Control

ER -