Wakaiki, M.Yamamoto, Y.Özbay, Hitay2016-02-082016-02-082012-12http://hdl.handle.net/11693/28103Date of Conference: 10-13 Dec. 2012Conference name: 51st IEEE Conference on Decision and Control (CDC), 2012We 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.EnglishDistributed parameter systemsMinimum sensitivitiesMulti-input multi-outputNevanlinna-Pick interpolationRepetitive control systemStable controllersStrong stabilizationTransmission zerosUpper and lower boundsControl system analysisIntelligent controlInterpolationMIMO systemsControllersConference Paper10.1109/CDC.2012.6427066