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Robust pole placement in discrete-time systems
Authors:Marek K. Solak
Affiliation:(1) Department of Fundamental Research in EE, Institute of Electrical Engineering and Polish Academy of Sciences, ul. Po"zdot"aryskiego 28, 04-703 Warszawa, Poland
Abstract:The problem of robust pole placement via a state-space feedback is discussed for discrete-time systems. It is assumed that a discrete-time system is described in terms of the state-space equation x(k+1)=Ax(k)+bu(k),y(k)=cTx(k)+eu(k) with uncertain entries of matrices (c, A, b,e). A feedback matrix f is calculated such that the real stability radius of the characteristic polynomial of the closed-loop system is possibly maximal.
Keywords:discrete-time systems  polynomial  stability radius
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