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Extended linear matrix inequality (LMI) conditions, ensuring the stability of commensurate fractional-order linear systems by static-output feedbacks, are given. It is assumed that the system uncertainties are constant and possibly… Click to show full abstract
Extended linear matrix inequality (LMI) conditions, ensuring the stability of commensurate fractional-order linear systems by static-output feedbacks, are given. It is assumed that the system uncertainties are constant and possibly present in all the system matrices. The stabilising static-output feedback is conceived to overcome the system uncertainty and place the poles of the closed-loop system in a well-defined domain that is formed by the intersection of many regions in the complex plane. The control design is formulated as the solution of a set of linear matrix inequality conditions. The validity of the obtained results is testified through an example of a fractional-order system with polytopic uncertainties.
Journal Title: Iet Control Theory and Applications
Year Published: 2017
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