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Modal space sliding‐mode control of structures
Author(s) -
Adhikari Rajesh,
Yamaguchi Hiroki,
Yamazaki Toshiki
Publication year - 1998
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(1998110)27:11<1303::aid-eqe785>3.0.co;2-j
Subject(s) - modal , modal analysis , reduction (mathematics) , modal analysis using fem , state space , modal testing , linear quadratic gaussian control , benchmark (surveying) , control theory (sociology) , basis (linear algebra) , state space representation , sliding mode control , engineering , mode (computer interface) , wavelet , structural engineering , mathematics , control (management) , computer science , algorithm , optimal control , physics , mathematical optimization , geometry , finite element method , materials science , geology , artificial intelligence , operating system , geodesy , quantum mechanics , statistics , nonlinear system , polymer chemistry
For dynamical systems expressed in state‐space form or for systems with non‐classical damping, the reduction of the structural model into the modal co‐ordinates involves complex modal analysis with complex modal co‐ordinates. Sliding‐mode Control (SMC) is formulated herein in terms of such complex modal co‐ordinates and the resulting control scheme is applied to the Benchmark problem consisting of the building–AMD system. Model reduction is achieved on the basis of the spectral analysis as well as wavelet analysis of the response of the system. Suitable provision is then provided to eliminate the effects of the neglected higher modes on the control performance. It is seen that the performances of MS‐SMC are comparable to those of LQG. © 1998 John Wiley & Sons, Ltd.