Abstract
We aim at tackling a robust identification problem for a linear dynamical control system with incomplete frequency data. Its mathematical formulation is a generalization of dual extremal problems in H p to a subarc of the unit circle T. Specifically, if I is such a subarc and J its complement in T, we study existence and uniqueness of a H p function of bounded L p(J) norm which is a best approximation to a given function in L p(I). Finally, we consider the problem of computing the solution in the case p=2.
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Alpay, D., Baratchart, L., Leblond, J. (1993). Some extremal problems linked with indentification from partial frequency data. In: Curtain, R.F., Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems. Lecture Notes in Control and Information Sciences, vol 185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0115054
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DOI: https://doi.org/10.1007/BFb0115054
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