期刊
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
卷 55, 期 -, 页码 47-57出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engappai.2016.05.008
关键词
Robust control; Discrete-time control; H-2/H-infinity control; Parametric uncertainties; Smart structures; Vibration control
类别
资金
- National Natural Science Foundation of China [51178388]
- State Scholarship Found of China Scholarship Council [201208615016]
- Scientific Research and Development Found of Shaanxi Province [2013K07-07]
- Special Science Foundation of Shaanxi Provincial Department of Education [2013JK0612]
- President Foundation of Xi'an Technological University [XAGDXJJ0919]
- Youth Elite Project of Xi'an Technological University
In real structural systems, such as a building structure or a mechanical system, due to inherent structural modeling approximations and errors, and changeable and unpredictable environmental loads, the structural response unavoidably involves uncertainties. These uncertainties can reduce the performance of a control algorithm significantly and possibly make it unstable. In this paper, based on the theories of the Bounded Real Lemma and the linear matrix inequalities (LMI), a novel discrete-time robust H-2/H-infinity, control algorithm is presented which not only reduces the structural peak response caused by external dynamic forces but also is robust and stable in the presence of parametric uncertainties which is always the case in real-life structures. To facilitate practical implementation, the uncertainties of structural parameters are considered in the time domain as opposed to the frequency domain. Compared with traditional H-infinity control methods, the new control algorithm proposes a convenient design procedure to facilitate practical implementations of active control of complex and large structural systems through the use of a quadratic performance index and the LMI-based solution method. The effectiveness of the new discrete-time robust H-2/H-infinity adaptive control algorithm is demonstrated using a three-story frame with active bracing systems (ABS) and a ten-story frame with an active tuned mass damper (ATMD). (C) 2016 Elsevier Ltd. All rights reserved.
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