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  • 1
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 114-118 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: An iterative technique is proposed that solves the two-point boundary value problem formed from the variational equations for the optimal control of nonlinear systems. The computational algorithm utilizes invariant imbedding to provide a set of the unknown boundary conditions and quasilinearization to calculate the optimal control policy. A numerical example indicates that the method exhibits considerable promise.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 973-981 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Five different variations on the basic quasilinearization algorithm for optional control are applied to a six-variable nonlinear gas absorber system. Convergence of the algorithms to the optimal trajectory with better than 1% accuracy is achieved in less than ten iterations. The region of initial starting points which yield convergence is quite large. The main difficulty encountered is due to instabilities of the maximum principle equations. This limitation is, however, not severe and it is possible to predict a priori when the difficulty will occur. It is concluded that quasilinearization is a feasible algorithm for the optimization of nonlinear unconstrained systems.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 13 (1967), S. 982-988 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: The quasilinearization algorithm is examined as a means of determining the optimal control of a nonlinear tubular reactor system with state constraints. It is shown that the use of penalty functions in an unconstrained algorithm can effectively solve the constrained problem. The method is quadratically convergent to the optimal control and seems more successful than methods which require gradients in the computation.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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