Robust pole placement in LMI regions
نویسندگان
چکیده
This paper discusses analysis and synthesis techniques for robust pole placement in LMI regions, a class of convex regions of the complex plane that embraces most practically useful stability regions. The focus is on linear systems with static uncertainty on the state matrix. For this class of uncertain systems, the notion of quadratic stability and the related robustness analysis tests are generalized to arbitrary LMI regions. The resulting tests for robust pole clustering are all numerically tractable since they involve solving linear matrix inequalities (LMIs), and cover both unstruc-tured and parameter uncertainty. These analysis results are then applied to the synthesis of dynamic output-feedback controllers that robustly assign the closed-loop poles in a prescribed LMI region. With some conservatism, this problem is again tractable via LMI optimization. In addition, robust pole placement can be combined with other control objectives such as H 2 or H1 performance to capture realistic sets of design speciications. Physically-motivated examples demonstrate the effectiveness of the approaches for robust analysis and synthesis.
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عنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 44 شماره
صفحات -
تاریخ انتشار 1999