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Vibrational feedback control in the problem of acoustic stability

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2 Author(s)
S. Lee ; Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI ; S. M. Meerkov

The problem of absolute stability in a vibrational feedback controller is introduced and discussed. It is shown that for any rational G(s)=n(s)/d(s ) with d(s) Hurwitz and deg d(s) -deg n(s)=1 there exists a linear dynamic periodic controller that ensures, in a certain sense, the infinite sector of absolute stability. This implies that an additional dynamical element, inserted in the feedback loop, may lead to improvements in the robustness of nonlinear systems

Published in:

IEEE Transactions on Automatic Control  (Volume:36 ,  Issue: 4 )