An Approach to Parameter Optimization Problem for a Class of Compromise Solutions Under Vector Valued Performance Criteria

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The design of optimal control systems with vector valued performance index has been a challenge for researchers in the field of control engineering. The paper addresses the problem of parameter optimization in the context of vector valued optimal control design. The solution presents a class of compromise solutions with optimum value of the parameter involved in the design. The performance index in general is defined in the form of a norm which can be expressed as the sum of p¬¬th power of deviations of the different performance index elements from their optimal values considering individual performance measures separately. The norm is minimized in k dimensional performance index space to obtain a set of non inferior systems corresponding to a class of compromise solutions. The choice of a single system from the class of compromise solutions obtained is made by a suitable choice of the parameter ‘p’ depending upon the application and design specifications.
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Parameter Optimization; Vector Valued Performance Criteria; Optimal Control Design; Multi Criteria Optimal Control

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