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: | |
| Language: | English |
| Published: |
2005
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| Online Access: |
http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178325 |