Robust structural and control design for flexible structures
Abstract
This dissertation addresses the problems of structural and control design for flexible structures. Three major topics are considered. The first topic deals with the dual passive/active control design for flexible structures. The interacting substructure decentralized control approach is developed for large flexible structures to achieve both eliminating the spillover problem and reducing the model size for controller design. The unified passive damper design method is presented to improve the stability margin and robustness of controlled flexible structures. The dual passive/active control design contains both the interacting substructure decentralized control and the unified passive control design. The second topic considers the robustness improvement for controlled flexible structures through structural modifications. The stability and performance robustness indices are defined. The integrated structural/control design problem is considered as a multiobjective optimization problem in which three objectives, structural weight, stability robustness index and performance robustness index, are considered for minimization. The utility function, lexicographic and goal programming methods are applied to solve the multiobjective nonlinear programming problem. The third topic conducts the study of the actuator/sensor location selection problem. The sequential-best-adding, penalty function method and the genetic algorithm are considered. The genetic algorithm is found to be the most promising approach for the actuator/sensor location selection problem.
Degree
Ph.D.
Advisors
Rao, Purdue University.
Subject Area
Mechanical engineering
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