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Time maximum control for a class of single-input planar affine control systems and constraints

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4 Author(s)
Feng Liu ; Cummins Inc., Columbus, IN 47201, USA ; George T. -C. Chiu ; Eric S. Hamby ; Yongsoon Eun

In some dynamic systems, it is desirable to keep the state trajectory within a predefined (constrained) subset of the state space, referred to as an operating region. However, for certain systems, state trajectories leave the operating region in finite time due to system dynamics. To keep the state trajectory in the operating region as long as possible, a constrained time optimal control problem can be formulated. The analytical solution to the optimal control problem can be derived for a class of single-input planar affine control systems and constraints, which exist in a wide range of processes in xerography, bio-reaction, etc. A numerical example from a development xerographic process is used to demonstrate the feasibility of the analytical solution.

Published in:

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Date of Conference:

15-18 Dec. 2009