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Synthesis of controllers for the Active Mass Driver system in the presence of uncertainty
Author(s) -
Balas Gary J.
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<1189::aid-eqe778>3.0.co;2-s
Subject(s) - robustness (evolution) , control theory (sociology) , multivariable calculus , natural frequency , singular value , actuator , engineering , robust control , benchmark (surveying) , tuned mass damper , control engineering , damper , computer science , control system , control (management) , physics , artificial intelligence , biochemistry , chemistry , eigenvalues and eigenvectors , electrical engineering , geodesy , quantum mechanics , vibration , gene , geography
The structured singular value (μ) synthesis technique is used to design controllers for the Active Mass Damper (AMD) Benchmark problem. The motivation for using μ synthesis is its ability to directly incorporate performance and robustness objectives into a multivariable control design framework. In addition to stated performance objectives, robustness of the controllers to high‐frequency unmodelled dynamics (the neglected high‐frequency modes of the evaluation model), modelling error in the actuator dynamics and variations in the first structural natural frequency and damping value are considered in the design. The resulting controller achieves similar performance levels on the nominal evaluation model and the evaluation model with significant variations in its first natural frequency and damping values. © 1998 John Wiley & Sons, Ltd.