Robust nonlinear feedback control for uncertain linear systems with nonquadratic performance criteria |
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Authors: | Wassim M Haddad Vijaya-Sekhar Chellaboina Jerry L Fausz |
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Affiliation: | School of Aerospace Engineering, Georgia Institute of Technology, Atlanta,GA 30332-0150, USA |
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Abstract: | In this paper we develop a unified framework to address the problem of optimal nonlinear robust control for linear uncertain systems. Specifically, we transform a given robust control problem into an optimal control problem by properly modifying the cost functional to account for the system uncertainty. As a consequence, the resulting solution to the modified optimal control problem guarantees robust stability and performance for a class of nonlinear uncertain systems. The overall framework generalizes the classical Hamilton–Jacobi–Bellman conditions to address the design of robust nonlinear optimal controllers for uncertain linear systems. © 1998 Elsevier Science B.V. |
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Keywords: | Robust control Nonlinear control Nonquadratic cost Hamilton–Jacobi–Bellman conditions Lyapunov bounding functions |
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