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Zbl 0845.49015
Jennings, L.S.; Teo, K.L.; Rehbock, V.; Zheng, W.X.
Optimal control of singular systems with a cost on changing control. (English)
[J] Dyn. Control 6, No.1, 63-89 (1996). ISSN 0925-4668; ISSN 1573-8450/e

Summary: We consider a class of optimal control problems with a cost on changing control, where the system dynamics are described by singular differential equations. Using a constraint transcription coupled with a local smoothing technique, a penalty function, and the control parametrization technique, an efficient computational method is developed for solving this optimal control problem sequentially. The convergence performance of the proposed method is also established. For illustration, this method is used to find the optimal feeding policy for a fed-batch fermentation process.

MSC 2000:: *49M15 Methods of Newton-Raphson, Galerkin and Ritz types
49J15 Optimal control problems with ODE (existence)

Keywords: optimal control; cost on changing control; penalty function; computational method; convergence

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