An algorithm for computer aided design problems

作者: E. Polak , R. Trahan

DOI: 10.1109/CDC.1976.267789

关键词: Computer Aided DesignAlgorithm designInterval (mathematics)Bounded functionControl systemPID controllerAlgorithmMultivariable calculusComputer science

摘要: A large class of engineering design problems including multivariable feedback systems, can be transcribed into the form P: min{f0(x)|gj(x)?0 j = 1,.., q, j??? max fj(x,?)?0, 1,..., m}, with each ?j a bounded interval real line. In this paper we give several examples such transcriptions, that an i.s.e., PID controller for single-input single-output system subject to phase-margin constraint and peak overshoot-settling time problem. We then present scaling procedures search vector in Polak-Mayne [1] algorithm which solves P, as well new, self-scaling, solving P. This new is related Pironneau-Polak [6] dual method feasible directions. The use methods most important since it leads substantial savings computing time.

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