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http://dx.doi.org/10.5302/J.ICROS.2003.9.3.186

Eigenvalue Assignment for Linear Time-Varying Systems via Ackermann-like Formula  

이호철 (부산대학교 기계공학부)
최재원 (부산대학교 기계공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.9, no.3, 2003 , pp. 186-195 More about this Journal
Abstract
This paper deals with eigenvalue assignment techniques for linear time-varying systems as a way of achieving feedback stabilization. For this, the novel eigenvalue concepts, which are the time-varying counterparts of the conventional (time-invariant) eigenvalue notions, are introduced. Then, the Ackermann-like formulae for SISO/MIMO linear time-varying systems are proposed. It is believed that these techniques are the generalized versions of the Ackermann formulae for linear time-invariant systems. The advantages of the proposed Ackermann-like formulae are that they neither require the transformation of the original system into the phase-variable form nor compute the eigenvalues of the original system. Two examples are given to demonstrate the capabilities of the proposed techniques.
Keywords
eigenvalue assignment; Ackermann formula; linear time-varying system;
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Times Cited By KSCI : 3  (Citation Analysis)
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