In this article, a static output-feedback controller with finite frequency range is developed for a specific isolator based on the linear matrix inequality optimization method. In particular, both infinite and finite frequency domain output-feedback H∞ control methods are proposed to design active control strategies. In addition, different constraints in time domain are imposed on the structure under consideration. Then, the control problem under physical constraints is formulated in terms of linear matrix inequalities. Considering the specific frequency band in this application, the obtained results illustrate the efficiency of proposed approach for static output-feedback H∞ control design in the finite frequency band compared with the infinite one.
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