Gündeş, A. NazlıÖzbay, Hitay2016-02-082016-02-082008-12http://hdl.handle.net/11693/26804Date of Conference: 9-11 Dec. 2008Conference name: 47th IEEE Conference on Decision and Control, 2008The strong stabilization problem (i.e., stabilization by a stable feedback controller) is considered for a class of finite dimensional linear, time-invariant, multi-input multioutput plants. It is assumed that the plant satisfies the parity interlacing property, which is a necessary condition for the existence of strongly stabilizing controllers. Furthermore, the plant class under consideration has no restrictions on the poles, on the zeros in the open left-half complex plane, on the zeros at the origin or at infinity; but only one finite positive real zero is allowed. A systematic strongly stabilizing controller design procedure is proposed that applies to any plant in the class, whereas alternative approaches may work for larger class of plants but only under certain sufficient conditions. The freedom available in the design parameters may be used for additional performance objectives although the only goal here is strong stabilization. In the special case of single-input single-output plants in the class considered, the proposed stable controllers have order one less than the order of the plant. © 2008 IEEE.EnglishAlternative approachesComplex planesDesign parametersFeedback controllersFinite dimensionalInterlacing propertiesMulti input multi outputsPerformance objectivesPlant classPositive realsSingle-input single-output plantsStabilizing controllersStable controllersStrong stabilizationsSufficient conditionsTime invariantsUnstable regionsMIM devicesMultiplexingStabilizationControllersConference Paper10.1109/CDC.2008.4738825