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Optimal control of non-linear distributed parameter systems by a finite-element collocation technique
Authors:K C Rao  S S Prabhu  S C Mehta
Abstract:A finite-element collocation technique is proposed for solving non-linear distributed parameter system (DPS) optimal control problems. On each element, two Gaussian collocation points and Hermite approximation functions are used in the finite-element collocation technique. The numerical experience for two non-linear DPS, one involving distributed control and the other involving spatially-independent control, is reported. Optimal control of DPS can be computed with relatively low-order models when this finite-element collocation technique is used.
Keywords:Non-linear distributed parameter control systems  Finite-element methods  Collocation
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