Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427047 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 24 Pages |
Abstract
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 translated into an optimal hybrid control 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 hybrid Hamilton-Jacobi-Isaacs equation and thus guaranteeing optimality.
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Authors
Wassim M. Haddad, Nataša A. Kablar, VijaySekhar Chellaboina, Sergey G. Nersesov,