Optimal control of systems with multiple criteria when disturbances are present |
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Authors: | W Schmitendorf |
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Institution: | (1) Mechanical Engineering Department, Northwestern University, Evanston, Illinois |
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Abstract: | Optimal control problems with a vector performance index and uncertainty in the state equations are investigated. Nature chooses the uncertainty, subject to magnitude bounds. For these problems, a definition of optimality is presented. This definition reduces to that of a minimax control in the case of a scalar cost and to Pareto optimality when there is no uncertainty or disturbance present. Sufficient conditions for a control to satisfy this definition of optimality are derived. These conditions are in terms of a related two-player zero-sum differential game and suggest a technique for determining the optimal control. The results are illustrated with an example.This research was supported by AFOSR under Grant No. 76-2923. |
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Keywords: | Differential games Pareto optimality multicriteria optimization control theory |
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