Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems, ACA (2004; Boston, Massachusetts)
dc.contributor.author | Ross, I. Michael | |
dc.contributor.author | Fahroo, Fariba | |
dc.date | June 30-July 2004 | |
dc.date.accessioned | 2013-03-07T21:43:04Z | |
dc.date.available | 2013-03-07T21:43:04Z | |
dc.date.issued | 2001-06-30 | |
dc.identifier.uri | https://hdl.handle.net/10945/29654 | |
dc.description | The article of record as published may be located at http://ieeexplore.ieee.org | en_US |
dc.description | Proceeding of the 2004 American Control Conference Boston, Massachusetts ; vol. 2, page(s):1610-1615, June 30-July 2, 2004 | en_US |
dc.description.abstract | We consider a fairly general class of state-constrained nonlinear hybrid optimal control problems that are based on coordinatizing Sussmann's model. An event set generalizes the notion of a guard set, reset map, endpoint set as well as the switching set. We present a pseudospectral (PS) knotting method that discretizes the continuous-time variables of the problem. The discrete event conditions are imposed over the PS knots leading to a large, sparse, mixed-variable programming (MVP) problem. The Karush-Kuhn-Tucker conditions for the MVP are transformed in a manner that makes them closely resemble the discretized necessary conditions obtained from the hybrid minimum principle. A set of closure conditions are introduced to facilitate commuting the operations of dualization and discretization. An immediate consequence of this is a hybrid covector mapping theorem that provides an order-preserving transformation of the Lagrange multipliers associated with the discretized problem to the discretized covectors associated with the hybrid optimal control problem. | en_US |
dc.publisher | IEEE | en_US |
dc.relation.ispartof | Proceeding of the 2004 American Control Conference Boston, Massachusetts June 30 -July 2, 2004 | |
dc.rights | This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
dc.title | Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems, ACA (2004; Boston, Massachusetts) | en_US |
dc.type | Conference Paper | en_US |
dc.contributor.corporate | Optimal Guidance and Control Laboratory | |
dc.contributor.corporate | Naval Postgraduate School (U.S.) | |
dc.contributor.corporate | IEEE | |
dc.contributor.department | Applied Mathematics | |
dc.subject.author | continuous time systems , discrete event systems , minimum principle , nonlinear control systems , optimal systems , set theory , time-varying systems | en_US |
dc.description.distributionstatement | Approved for public release; distribution is unlimited. |