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A cutting plane algorithm for robustness analysis of periodically time-varying systems

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3 Author(s)
Chung-Yao Kao ; Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA ; Megretski, A. ; Jonsson, Ulf T.

An algorithm for robustness analysis of periodic systems is derived. The system under consideration consists of a linear periodically time-varying plant in feedback interconnection with a structured uncertainty. Conditions for robust stability and robust performance can be formulated in terms of periodic integral quadratic constraints (IQCs). In this way, the robustness analysis becomes a problem of optimizing the parameters of the IQC. A cutting plane algorithm is suggested for solving this infinite-dimensional optimization problem

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Automatic Control, IEEE Transactions on  (Volume:46 ,  Issue: 4 )