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Abstract
In this paper, mixed H2 / H∞ control is studied using the linear matrix inequality approach(LMI). In many linear control problems, the design constraints can be reformulated in terms of LMI. In general, in H∞ control good frequency response performance is maintained but transient response of control system may not be guaranteed. Here, we have formulated H∞ and H2 control separately by means of LMI, and combined both objectives as a mixed control problem. We applied mixed H2 / H∞ control to an active vibration control problem and obtained reasonable results in frequency and time domains. The design approach described here is based on a numerical optimization technique which requires use of efficient convex optimization software.
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