Time delayed optimal control problems with multiple characteristic time points:
Computation and industrial applications
Ling Yun Wang - School of Information Science and Engineering, Central South University, Changsha 410083, China (email)
Abstract: In this paper, we consider a class of optimal control problems involving time delayed dynamical systems and subject to continuous state inequality constraints. We show that this type of problem can be approximated by a sequence of time delayed optimal control problems subject to inequality constraints in canonical form and with multiple characteristic time points appearing in the cost and constraint functions. We derive formulae for the gradient of the cost and constraint functions of the approximate problems. On this basis, each approximate problem can be solved using a gradient-based optimization technique. The computational method obtained is then applied to an industrial problem arising in the study of purification process of zinc sulphate electrolyte. The results are highly satisfactory.
Keywords: Time delayed system, multiple characteristic time
points, continuous state inequality constraints, optimal control,
zinc sulphate electrolyte, purification process.
Received: October 2008; Revised: March 2009; Available Online: August 2009.
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