Approximate Stabilisation of Uncertain Hybrid Systems

Abstract−Stabilization of uncertain hybrid systems with controllable transitions is considered. Uncertainty enters in the form of a disturbance input that can affect both the continuous and the discrete dynamics. A method for designing piecewise constant feedback controllers is developed. The controllers achieve approximate exponential convergence of the runs of the closed loop system to the zero level set of a Lyapunov function.

• Type: Conference
• Year: 2003
• Where: HYBRID
• Authors: Yan Gao, John Lygeros, Marc Quincampoix, Nicolas Seube
• Keywords: Approximate Exponential Convergence, Constant Feedback Controllers, HYBRID 2003, Hybrid Systems, Uncertain Hybrid Systems