### Abstract

We formulate and solve a multimodel H_{∞} adaptive control problem. In this problem, the unknown plant is one of finite number of possible models. The control objective is to find an adaptive (possibly nonlinear and time-varying) controller that achieves an H_{∞} bound on the closed-loop transfer function for all possible plants. We present an exact solution for the optimal adaptive controller in two cases: (a) the plants are static, but possibly nonlinear, functions, and (b) the plants are linear time-invariant (LTI).

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

Editors | Anon |

Pages | 1928-1933 |

Number of pages | 6 |

Volume | 2 |

State | Published - 1996 |

Event | Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn Duration: Dec 11 1996 → Dec 13 1996 |

### Other

Other | Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) |
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City | Kobe, Jpn |

Period | 12/11/96 → 12/13/96 |

### 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. 1928-1933)

**Multimodel adaptive H∞ control.** / Rangan, Sundeep; Poolla, Kameshwar.

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 2, pp. 1928-1933, Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4), Kobe, Jpn, 12/11/96.

}

TY - GEN

T1 - Multimodel adaptive H∞ control

AU - Rangan, Sundeep

AU - Poolla, Kameshwar

PY - 1996

Y1 - 1996

N2 - We formulate and solve a multimodel H∞ adaptive control problem. In this problem, the unknown plant is one of finite number of possible models. The control objective is to find an adaptive (possibly nonlinear and time-varying) controller that achieves an H∞ bound on the closed-loop transfer function for all possible plants. We present an exact solution for the optimal adaptive controller in two cases: (a) the plants are static, but possibly nonlinear, functions, and (b) the plants are linear time-invariant (LTI).

AB - We formulate and solve a multimodel H∞ adaptive control problem. In this problem, the unknown plant is one of finite number of possible models. The control objective is to find an adaptive (possibly nonlinear and time-varying) controller that achieves an H∞ bound on the closed-loop transfer function for all possible plants. We present an exact solution for the optimal adaptive controller in two cases: (a) the plants are static, but possibly nonlinear, functions, and (b) the plants are linear time-invariant (LTI).

UR - http://www.scopus.com/inward/record.url?scp=0030385512&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030385512&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 1928

EP - 1933

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

ER -