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Optimal placement of actuators and sensors in control‐augmented structural optimization
Author(s) -
Sepulveda Abdon E.,
Schmit Lucien A.
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620320602
Subject(s) - controllability , actuator , observability , control theory (sociology) , stability (learning theory) , mathematical optimization , optimization problem , variable (mathematics) , control variable , computer science , mathematics , control (management) , mathematical analysis , artificial intelligence , machine learning
Abstract A control‐augmented structural synthesis methodology is presented in which actuator and sensor placement is treated in terms of (0, 1) variables. Structural member sizes and control variables are treated simultaneously as design variables. A multiobjective utopian approach is used to obtain a compromise solution for inherently conflicting objective functions such as structural mass, control effort and number of actuators. Constraints are imposed on natural frequencies, peak transient displacements and accelerations, peak actuator forces and dynamic stability as well as controllability and observability of the system. The combinatorial aspects of the mixed (0, 1)‐continuous variable design optimization problem are made tractable by combining approximation concepts with branch and bound techniques. Some numerical results for example problems are presented to illustrate the efficacy of the design procedure set forth.

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