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arXiv · 2005.09313

Measures and LMIs for Adaptive Control Validation

Daniel Wagner·Didier Henrion·Martin Hrom{č}ík
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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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Daniel Wagner, Didier Henrion, Martin Hrom{č}ík. 2020-05-19. Measures and LMIs for Adaptive Control Validation. https://arxiv.org/abs/2005.09313

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