Abstract
In the framework of the angular metric, robust stability margin is used to characterize the stability robustness of the closed-loop system. The mixed H 2/H ∞ robust controller with degree constraint is designed, whose degree is not larger than that of the plant. The characteristics of mixed H 2/H ∞ controller with degree constraint are discussed, and the form of the controller is parameterized. After that, we get the constraint conditions and the interpolation equations. The mixed H 2/H ∞ controller can be synthesized by solving the nonlinear equations, where a group preserving scheme is adapted. In comparison with the LMI controller and the central controller, the mixed H 2/H ∞ robust controller has the best LQG performance when the robust stability margin is given.
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Acknowledgments
This work is supported by Project of the Specialized Research Fund for Doctoral Program of the University in China 20132322120003, Youth Academic Backbone Project of University in Heilongjiang Province under Grant 1253G012, Youth Science Foundation of Heilongjiang Province under Grant QC2011C043, Science and Technology Research Project of Heilongjiang Province under Grant 12531058. This word is also supported by the Reserve Talents of Universities Overseas Research Program of Heilongjiang under Grant HEI GAO JIAO [2013]350.
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Liu, B., Cui, Y., Sun, J. (2015). Mixed H 2/H ∞ Robust Controller with Degree Constraint in Angular Metric. In: Deng, Z., Li, H. (eds) Proceedings of the 2015 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46463-2_50
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DOI: https://doi.org/10.1007/978-3-662-46463-2_50
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