Optimal disturbance rejection control for nonlinear impulsive dynamical systems.

In this paper, we develop an optimality-based framework for addressing the problem of nonlinear- nonquadratic hybrid control for disturbance rejection of nonlinear impulsive dynamical systems with bounded exogenous disturbances. Specifically, we transform a given nonlinear-nonquadratic hybrid performance criterion to account for system disturbances. As a consequence, the disturbance rejection problem is translatedinto an optimal hybridcontrol problem. Furthermore, the resulting optimal hybrid control law is shown to render the closed-loop nonlinear input-output map dissipative with respect to general supply rates. In addition, the Lyapunov function guaranteeing closed-loop stability is shown to be a solution to a steady-state hybridHamilton-Jacobi-Isaacs equation andthus guaranteeing optimality.

Main Author: Haddad, Wassim.
Other Authors: Kablar, Natasa., Chellaboina, VijaySekhar., Nersesov, Sergey.
Format: Villanova Faculty Authorship
Language: English
Published: 2005
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178325