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http://dx.doi.org/10.5302/J.ICROS.2005.11.11.895

Analysis and Design Using LMI Condition for C (sI-A)^{-1} to Be Minimum Phase  

Lee Jae-Kwan (삼성 SDS)
Choi Han Ho (동국대학교 전기공학과)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.11, no.11, 2005 , pp. 895-900 More about this Journal
Abstract
We derive a linear matrix inequality(LMI) condition guaranteeing that any invariant zeros of a triple (A, B, C) lie in the open left half plane of the complex plane, i.e. $C(sI-A)^{-1}B$ is minimum phase. The LMI condition is equivalent to a certain constrained Lyapunov matrix equation which can be found in many results relating to stability analysis or control design. We show that the LMI condition can be used to simplify various control engineering problems such as a dynamic output feedback control problem, a variable structure static output feedback control problem, and a nonlinear system observer design problem. Finally, we give some numerical examples.
Keywords
Linear Matrix Inequality(LMI); minimum phase system; zero; output feedback; uncertain system;
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Times Cited By KSCI : 2  (Citation Analysis)
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