Abstract
A large number of practical systems can be modeled as negative imaginary (NI) systems. In this paper, we investigate the problem of static output feedback (SOF) NI controller design with H∞ performance. Motivated by the two-stage framework for SOF stabilization, a sufficient condition is derived for the SOF controller synthesis. An iterative LMI-based algorithm is suggested to find an SOF controller. The algorithm consists of two stages: (1) finding an initial output injection controller; (2) computing a desired SOF controller. In addition, a numerical example is provided to verify the proposed method.
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