Abstract
An H ā-optimal control problem is treated in the context of discrete-time multi-input/output linear systems. The cost is the maximum, over all disturbances of unit energy, of a weighted sum of the energies of the plant's input and output. The cost is minimized over all causal controllers achieving internal stability of the feedback loop.
This research was supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. A1715.
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Francis, B.A. (1985). Optimal disturbance attenuation with control weighting. In: Bagchi, A., Jongen, H.T. (eds) Systems and Optimization. Lecture Notes in Control and Information Sciences, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043394
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DOI: https://doi.org/10.1007/BFb0043394
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