Direct data-driven H2 − H∞ loop-shaping

In this paper, a direct data-driven approach is proposed to tune fixed-order controllers for unknown stable LTI plants in a mixed-sensitivity loop-shaping problem. The method requires a single set of input-output samples and it is based on simple convex optimization techniques; moreover, it guarantees internal stability as the data-length tends to infinity. Compared to a standard model-based approach, the proposed methodology theoretically guarantees the same asymptotical performance in case of correct parameterization, whereas the direct data-driven formulation is less conservative in case of undermodeling. The effectiveness of the method is illustrated via some numerical examples.


Published in:
Proceddings of the 18th IFAC world Congress
Presented at:
18th IFAC World Congress, Milano, Italy, August 28 - September 2, 2011
Year:
2011
Keywords:
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 Record created 2010-10-21, last modified 2018-01-28

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