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Communication Dans Un Congrès Année : 2019

Measures and LMIs for Adaptive Control Validation

Résumé

Occupation measures and linear matrix inequality (LMI) relax-ations (called the moment sums of squares or Lasserre hierarchy) have been used previously as a means for solving control law verification and validation (VV) problems. However, these methods have been restricted to relatively simple control laws and a limited number of states. In this document, we extend these methods to model reference adaptive control (MRAC) configurations typical of the aircraft industry. The main contribution is a validation scheme that exploits the specific nonlinearities and structure of MRAC. A nonlinear F-16 plant is used for illustration. LMI relaxations solved by off-the-shelf-software are compared to traditional Monte-Carlo simulations.
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Dates et versions

hal-02612057 , version 1 (18-05-2020)

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Daniel Wagner, Didier Henrion, Martin Hromčík. Measures and LMIs for Adaptive Control Validation. IEEE 58th Conference on Decision and Control (CDC 2019 ), Dec 2019, Nice, France. ⟨10.1109/CDC40024.2019.9029254⟩. ⟨hal-02612057⟩
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