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Numerical method for a class of optimal control problems subject to nonsmooth functional constraints

✍ Scribed by C.Z. Wu; K.L. Teo; Yi Zhao


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
181 KB
Volume
217
Category
Article
ISSN
0377-0427

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✦ Synopsis


In this paper, we consider a class of optimal control problems which is governed by nonsmooth functional inequality constraints involving convolution. First, we transform it into an equivalent optimal control problem with smooth functional inequality constraints at the expense of doubling the dimension of the control variables. Then, using the Chebyshev polynomial approximation of the control variables, we obtain an semi-infinite quadratic programming problem. At last, we use the dual parametrization technique to solve the problem.


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