Title :
Optimal control of nonlinear DAE systems
Author :
De Pinho, M. D R ; Sargent, R.W.H. ; Vinter, R.B.
Author_Institution :
Centre for Process Syst. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
Abstract :
Dynamic models which take the form of coupled set of differential and algebraic equations (DAEs) are widely used in process systems engineering. Necessary conditions of optimality for optimal control problems involving such models are derived. Interestingly, an optimality condition in the form of a strong maximum principle is shown to be valid only under a convexity hypothesis. However the authors prove a weak maximum principle even in the absence of convexity
Keywords :
algebra; maximum principle; minimisation; nonlinear differential equations; optimal control; convexity hypothesis; coupled differential/algebraic equations; dynamic models; necessary optimality conditions; nonlinear DAE systems; process systems engineering; strong maximum principle; weak maximum principle; Application software; Data engineering; Differential algebraic equations; Differential equations; Educational institutions; Medical control systems; Nonlinear equations; Optimal control; Software packages; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325930
