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COMPARISON OF TWO METHODS OF OPTIMAL CONTROL SYNTHESIS : PARTIAL DIFFERENTIAL EQUATION APPROACH AND INTEGRAL EQUATION APPROACH
Korean Journal of Chemical Engineering, April 1995, 12(2), 198-206(9), 10.1007/BF02705647
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Abstract
This study shows how the optimal control theory for distributed parameter systems can be implemented for a problem of tubular reactor with axial dispersion described by partial differential equations. Two methods are implemented. One is based on differential equation approach and the other is based on integral equation approach. It was found that the approach with partial differential equations is preferable to the one with integral equations for the type of problems treated in this study. Computation algorithms and programs for both cases are developed.
References
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Derzko NA, Sethi SP, Thompson GL, J. Optim. Theo. Appl., 43, 89 (1984)
Fucik S, Kufner A, "Nonlinear Differential Equations," Elsevier, Amsterdam (1980)
Schiesser WE, "Manual No. 5 of DSS/2-Differential Systems Simulator Version 2," Lehigh Univ., Pennsylvania (1985)
Schiesser WE, "The Numerical Method of Lines," Academic Press (1991)
Wang FY, "Optimal Control Theory for Distributed Parameter Processes Based on Integral Equation Representations," Ph.D. Thesis, Univ. of Waterloo, Ontario (1985)
Zone G, "Second-Order Optimal Control Algorithms for Lumped and Distributed Parameter Processes," Ph.D. Thesis, Univ. of Waterloo, Ontario (1973)
Zone G, Chang KS, Int. J. Control, 15, 255 (1972)
