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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 1999

Multi-Objective Optimization for Design and Stability of a General Control System

Mechanics of Materials Laboratory & Computational Mechanics Laboratory Mechanical Engineering, Aeronautical Engineering and Mechanics Department Rensselaer Polytechnic Institue, Troy, NY 12181, USA

Abstract

With the advancement of new materials and techniques, smooth and high performance operation of critical systems such as fight simulators, satellite navigators and robots arms are desired in these systems, often more than one objective has to be accomplished. In the present study, the global criterion method is used as the multi-objective optimization tool. A general mass-spring-dashpot system is analyzed. Damping ratio and natural frequency are chosen as design variables. System settling time, percent overshoot and time to reach to maximum peak are objective functions to be minimized. Numerical solutions with the given constraints are presented and design specifications for the control system are suggested. It is also shown that this optimization tool is a good candidate for multi-criterion problems.

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