Computing State Invariants Using Point-Wise Integral Quadratic Constraints and the S-procedure

Dany Abou Jaoude (1) , Pierre-Loïc Garoche (2) , Mazen Farhood (3)

1 AUB - American University of Beirut [Beyrouth]
2 ENAC - Ecole Nationale de l'Aviation Civile
3 Virginia Tech [Blacksburg]

This paper deals with the problem of computing ellipsoidal state invariant sets for uncertain systems that consist of a nominal part and an uncertainty feedback operator. The set of allowable uncertainty operators is characterized using point-wise integral quadratic constraints (IQCs). The proposed solution methodology combines the S-procedure and the n otion of point-wise IQCs in a novel way. The approach allows for a point-wise characterization of the disturbance inputs and involves solving a grid of convex optimization problems. An illustrative example is provided to show how to apply the proposed results.

Mots clés: Integral quadratic constraints; Invariant set

Domaines: Systèmes et contrôle [cs.SY]; Informatique et théorie des jeux [cs.GT]; Génie logiciel [cs.SE]; Théorie et langage formel [cs.FL]

Dany Abou Jaoude, Pierre-Loïc Garoche, Mazen Farhood. Computing State Invariants Using Point-Wise Integral Quadratic Constraints and the S-procedure. American Control Conference 2021, May 2021, New Orleans, United States. ⟨hal-03187629⟩