Decoupled approach to integrated optimum design of structures and robust control systems |
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Authors: | Mehmet Bozca Ata Mu?an Hakan Temelta? |
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Affiliation: | (1) Department of Mechanical Engineering, Yildiz Technical University, Yildiz, Istanbul, Turkey;(2) Department of Mechanical Engineering, Istanbul Technical University, Gümüşsuyu, Istanbul, Turkey;(3) Department of Electrical and Electronics Engineering, Istanbul Technical University, Maslak, Istanbul, Turkey |
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Abstract: | Integrated optimum design of structures and control systems is studied by using H
2 and robust control formulations. It is derived that conventional simultaneous optimization approach by using these robust control
laws can be approximated by a decoupled optimization approach in which the structures are optimized by shaping the structural
singular values and then the controllers can be designed, namely, decoupled, sequential or successive design approach. It
is shown that the proposed decoupled optimization approach can be used to design optimum robust structures and has certain
advantages over the conventional simultaneous optimization procedures such as it avoids the drawbacks of pure robust control
laws and faster, especially if the number of degrees of freedom (DOF) of the associated structure is large. The bounds for
achievable robustness measures are also obtained. Following, simultaneous and decoupled optimization approaches are applied
to active control of two structures. The optimization results are presented, and it is concluded that the proposed decoupled
optimization approach yields the achieved global minimum much faster than the simultaneous optimization approach. |
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Keywords: | Structural optimization Robust control Singular value decomposition Finite element methods Integrated/concurrent/simultaneous optimum design |
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