International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Robust D-Stability and D-Stabilization of Dynamic Interval Systems

  • Mao, Wei-Jie (State Key Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University) ;
  • Chu, Jian (State Key Lab of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University)
  • Published : 2007.10.31
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Abstract

A sufficient condition for the robust D-stability of dynamic interval systems is proposed in this paper. This D-stability condition is based on a parameter-dependent Lyapunov function obtained from the feasibility of a set of matrix inequalities defined at a series of partial-vertex-based interval matrices other than the total vertex matrices as previous results. This condition is also extended to the robust D-stabilization problem of dynamic interval systems, which supplies an effective synthesis procedure for any LMI D-region. The proposed conditions can be simplified to a set of LMIs, which can be solved by efficient interior point methods in polynomial time.

Keywords

References

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