Publication Date:
2015-01-01
Description:
This paper proposes a systematic numerical method for designing robust nonlinearH∞controllers without a priori lower-dimensional approximation with respect to solutions of the Hamilton-Jacobi equations. The method ensures the solutions are globally calculated with arbitrary accuracy in terms of the stable manifold method that is a solver of Hamilton-Jacobi equations in nonlinear optimal control problems. In this realization, the existence of stabilizing solutions of the Hamilton-Jacobi equations can be derived from some properties of the linearized system and the equivalent Hamiltonian system that is obtained from a transformation of the Hamilton-Jacobi equation. A numerical example is shown to validate the design method.
Print ISSN:
1024-123X
Electronic ISSN:
1563-5147
Topics:
Mathematics
,
Technology