Nonlinear robust hierarchical control for nonlinear uncertain systems

Alexander Leonessa, Wassim M. Haddad and Vijaysekhar Chellaboina

Mathematical Problems in Engineering, 2000, vol. 5, 1-44

Abstract:

A nonlinear robust control-system design framework predicated on a hierarchical switching controller architecture parameterized over a set of moving nominal system equilibria is developed. Specifically, using equilibria-dependent Lyapunov functions, a hierarchical nonlinear robust control strategy is developed that robustly stabilizes a given nonlinear system over a prescribed range of system uncertainty by robustly stabilizing a collection of nonlinear controlled uncertain subsystems. The robust switching nonlinear controller architecture is designed based on a generalized (lower semicontinuous) Lyapunov function obtained by minimizing a potential function over a given switching set induced by the parameterized nominal system equilibria. The proposed framework robustly stabilizes a compact positively invariant set of a given nonlinear uncertain dynamical system with structured parametric uncertainty. Finally, the efficacy of the proposed approach is demonstrated on a jet engine propulsion control problem with uncertain pressure-flow map data.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:747509

DOI: 10.1155/S1024123X99001210

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