### Abstract

Many models of systems important in practice have the form of an interconnection of a known linear model and an unknown nonlinear function. One example of such a system is a model of thermoacoustic instability affecting gas turbine engines and rockets (so-called thermoacoustic feedback loop). In this paper, we propose a computationally attractive algorithm for identifying static nonlinearity in a thermoacoustic feedback loop which is either in a limit cycle or is being driven by Gaussian noise. The algorithm is based upon functional analytic treatment of the describing function method and lends itself nicely to a class of limit cycling or noise driven feedback systems where the nonlinearity is of a special type. We present examples as well as a simulations with the thermoacoustic feedback loop as an application of the identification algorithm.

Original language | English (US) |
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Pages (from-to) | 4320-4325 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 5 |

DOIs | |

State | Published - Jan 1 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization