Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Robustness analysis of pole assignment in a specified circle for perturbed systems

섭동 시스템에 대한 규정된 원 내로의 극점배치 견실성 해석

  • 김가규 (경북북대학교 대학원 전자공학과) ;
  • 최봉열 (경북대학교 전자.전기공학부)
  • Published : 1995.12.01
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Abstract

In this paper, we consider the robustness analysis problem in state space models with linear time invariant perturbations. Based upon the discrete-time Lyapunov approach, sufficient conditions are derived for the eigenvalues of perturbed matrix to be located in a circle, and robustness bounds on perturbations are obtained. Spaecially, for the case of a diagonalizable hermitian matrix the bound is given in terms of the nominal matrix without the solution of Lyapunov equation. This robustness analysis takes account not only of stability robustness but also of certain types of performance robustness. For two perturbation classes resulting bounds are shown to be improved over the existing ones. Examples given include comparison of the proposed analysis method with existing one.

Keywords

References

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