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Minimum magnitude response to a fixed input
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187)
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In this paper we investigate the exact solution, minimizing the I , norm of the regulated output for a fixed input in SISO discrete-time feedback control systems. This is achieved by allowing non-zero steady state value and parametrizing the output to have a rational transfer function with chosen poles on the stability boundary. Alongside these Z,-optimal solutions, we obtain solutions in 11 with the same order transfer functions and arbitrarily close I , norms.
doi:10.1109/cdc.2001.914641
fatcat:hx3lnhva2vgd3b2rt66zjppiga