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An optimal control problem with state space constraints arising in the design of bipolar transistors

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2 Author(s)
Rinaldi, P. ; Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA ; Schattler, H.

We consider the problem of determining the optimal profile of doping concentration that minimizes the base transit time in homojunction bipolar transistors. This is a well-studied problem in the electronics literature, but typically only numerical optimization is used to find solutions. Also, we include a fixed base resistance, a constraint often ignored in numerical approaches. In this paper we give an explicit analytic solution to the problem using the Pontryagin maximum principle with state-space constraints and outline how its optimality can be proven using synthesis type arguments.

Published in:

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on  (Volume:4 )

Date of Conference:

10-13 Dec. 2002