Relations between (H∞) optimal control of a nonlinear system and its linearizationSchaft, A. J. V. D., 1991, Proceedings of the 30th IEEE Conference on Decision and Control. University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science, p. 1807-1808 2 p.
Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic
In a previous paper we showed some basic connections between H∞ control of a nonlinear control system and H∞ control of its linearization. A key argument was that the existence and parametrization, at least locally, of the stable invariant manifold of a certain Hamiltonian vector field is determined by the Hamiltonian matrix corresponding to the linearized problem. Using the same methodology we are able to give a quick proof of the fact that a nonlinear optimal control problem is locally solvable if the associated LQ problem is solvable. This was proved before under much stronger conditions.
|Title of host publication||Proceedings of the 30th IEEE Conference on Decision and Control|
|Publisher||University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science|
|Number of pages||2|
|Publication status||Published - 1991|
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