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IMA Journal of Mathematical Control and Information 1990 7(3):199-233; doi:10.1093/imamci/7.3.199
© 1990 by Institute of Mathematics and its Applications
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Hierarchical Adaptive Techniques for Optimizing Control of Large-Scale Steady-State Systems: Optimality, Iterative Strategies,and their Convergence

M. A. BRDYS, N. ABDULLAH and P. D. ROBERTS

Department of Electronic and Electrical Engineering, The University of Birmingham PO Box 363, Birmingham B15 2TT, UK
Department of Chemical and Process Engineering, The National University of Malaysia 43600 Bangi, Selangor, Malaysia
Control Engineering Centre, Department of Electrical, Electronic and Information Engineering, City University Northampton Square, London EC1V OHB

A hierarchical structure for on-line steady-state optimizing control of interconnected systems is discussed which utilizes the available mathematical model more efficiently than in previous techniques, in spite of large model-reality differences. The structure is of an iterative type and uses both the mathematical model of the system and the system output measurements. The structure produces a control which satisfies necessary optimality conditions, provided that the system mathematical model is point-parametric. Several iterative strategies for finding a solution are presented. The strategies are compared with respect to their applicability, the total number of set-point changes needed to find solution, and the amount of information exchanged between control units and process during iterations.


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