This research develops probabilistic decentralized active vibration control design and synthesis techniques for uncertain complex structures. The uncertainty and complexity of the structures studied in this thesis are concentrated at the point where two portions of a structure adjoin—the structural interconnection. This uncertainty is characterized using random variables. The controller design and synthesis approaches that are developed in this research lead to decentralized controller architectures while accounting for random uncertainty at structural interconnections. Ancillary to probabilistic robust controller design and synthesis is the development of analysis tools that enable the designer to evaluate the robust stability and robust performance of the synthesized controllers, given that the plant uncertainty is random.
The control approaches developed in this thesis fall into two distinct categories:
1. Full state feedback control design and synthesis for a lightly damped, lumped parameter model with random interconnection uncertainty.
2. Dynamic output feedback control design and synthesis for a lightly damped, high dimensional beam model derived using finite element theory with random interconnection element uncertainty.
For both the full state and dynamic output feedback control approaches that are developed in this research, the dynamic systems are modeled as generalized plants for control design and synthesis. Control laws that are decentralized, attenuate the disturbance input to performance output channels in a system infinity-norm sense, and that are robust against random interconnection uncertainty are then designed and synthesized. The models used in this research represent random, lightly damped structures. Control design philosophies and approaches are catered to, and exploit, properties specific to lightly damped structures.
|Advisor:||Cole, Daniel G.|
|Commitee:||Vipperman, Jeffrey S., Clark, William W., Mao, Zhi-Hong, Collinger, John C.|
|School:||University of Pittsburgh|
|Department:||Swanson School of Engineering|
|School Location:||United States -- Pennsylvania|
|Source:||DAI-B 81/2(E), Dissertation Abstracts International|
|Keywords:||Active control, H-infinity, Probability, Robustness, Vibration control|
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