Computation of the maximal invariant set of linear systems with quasi-smooth nonlinear constraints

Wang, Zheming;Jungers, Raphaël;Ong, Chong-Jin
(2019) 2019 18th European Control Conference (ECC) — Location: Naples, Italy (25.June.2019)

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Authors
  • Wang, ZhemingUCLouvain
    Author
  • Jungers, RaphaëlUCLouvain
    Author
  • Ong, Chong-JinNational University of Singapore
    Author
Abstract
In this paper, we consider the problem of computing the maximal invariant set of linear systems with a class of nonlinear constraints that admit quadratic relaxations. With these quadratic relaxations, we are able to determine a sufficient condition on the maximal invariant set. Using the sufficient condition, a new algorithm is presented by solving a set of linear matrix inequalities. Under mild assumptions, the proposed algorithm will terminate in finite time. The performance of this algorithm is demonstrated on several numerical examples.
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Wang, Z., Jungers, R., & Ong, C.-J. (2019). Computation of the maximal invariant set of linear systems with quasi-smooth nonlinear constraints. 2019 18th European Control Conference (ECC), p. 3803-3808. https://doi.org/10.23919/ecc.2019.8796145