Regional Analysis of Slope Restricted Lur'e Systems

Giorgio Valmorbida (1) , Ross Drummond (2) , Stephen Duncan (2)

1 L2S - Laboratoire des signaux et systèmes
2 University of Oxford

This paper considers the stability analysis of nonlinear Lurie type systems where the nonlinearity is both (locally) sector and slope restricted. Convex conditions for verifying stability, computing outer estimates of reachable sets and upper bounds on the induced L 2 gain in a local or global domain are proposed. The conditions use a Lya-punov function that is quadratic on both the states and the nonlinearity and has an integral term on the nonlinearity. Numerical examples outline the benefits of the proposed approach.

Domaines: Automatique / Robotique

Giorgio Valmorbida, Ross Drummond, Stephen Duncan. Regional Analysis of Slope Restricted Lur'e Systems. IEEE Transactions on Automatic Control, 2018, 64 (3), pp.1201-1208. ⟨10.1109/tac.2018.2849618⟩. ⟨hal-01969685⟩