Tangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systems
Proceedings of the IEEE Conference on Decision and Control
1584 - 1590
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We study the problem of finding stable controllers that stabilize a multi-input multi-output distributed parameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finitely many unstable transmission zeros, but they can possess infinitely many unstable poles. Using the tangential Nevanlinna-Pick interpolation with boundary conditions, we obtain both upper and lower bounds of the minimum sensitivity that can be achieved by stable controllers. We also derive a method to find stable controllers for sensitivity reduction. In addition, we apply the proposed method to a repetitive control system. © 2012 IEEE.
KeywordsDistributed parameter systems
Repetitive control system
Upper and lower bounds
Control system analysis
Published Version (Please cite this version)http://dx.doi.org/10.1109/CDC.2012.6427066
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