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Measures and LMIs for Adaptive Control Validation

Abstract : 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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https://hal.archives-ouvertes.fr/hal-02612057
Contributor : Didier Henrion <>
Submitted on : Monday, May 18, 2020 - 8:39:30 PM
Last modification on : Thursday, May 21, 2020 - 1:38:11 AM

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  • HAL Id : hal-02612057, version 1
  • ARXIV : 2005.09313

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Daniel Wagner, Didier Henrion, Martin Hromčík. Measures and LMIs for Adaptive Control Validation. 2020. ⟨hal-02612057⟩

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