## Abstract

In this paper we present an approach for aircraft control law clearance using sensitivity analysis methods for parameter dependent optimal control problems. The basis of the approach is an optimal control problem formulation with free final time in which the criterion to be tested is introduced in the cost function. Additionally, physical constraints such as actuator position or rate limits can be considered by path inequality constraints. The solution of this optimal control problem is obtained by means of direct methods which yields critical worst case inputs with respect to the criterion under investigation. In this context it is important to observe that uncertain parameters in the dynamic model may have significant influence on this worst case solution. Therefore, it is of high interest to determine how the worst case solution changes depending on these parameters. In this paper we assume a truncated uniform distribution with yet to be determined truncation values as a conservative worst case assumption. The approach can be summarized as follows: First we determine critical regions in the parameter space where a violation of the criterion can be expected. The bisection search algorithm employed to identify these regions refines the parameter space until a predefined cell size is reached. Following, the worst case solution is locally approximated within these critical regions using post-optimal sensitivity analysis. This local representation can then used to study important figures of merit such as the exceedance probability of the criterion under investigation.

Original language | English |
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Pages | 445-455 |

Number of pages | 11 |

State | Published - 2018 |

Event | 58th Israel Annual Conference on Aerospace Sciences, IACAS 2018 - Tel-Aviv and Haifa, Israel Duration: 14 Mar 2018 → 15 Mar 2018 |

### Conference

Conference | 58th Israel Annual Conference on Aerospace Sciences, IACAS 2018 |
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Country/Territory | Israel |

City | Tel-Aviv and Haifa |

Period | 14/03/18 → 15/03/18 |