International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Eigenstructure Assignment Considering Probability of Instability with Flight Control Application

  • Seo, Young-Bong (School of Mechanical Engineering and Research Institute of Mechanical Technology, Pusan National University) ;
  • Choi, Jae-Weon (School of Mechanical Engineering and Research Institute of Mechanical Technology, Pusan National University)
  • Published : 2007.12.31
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Abstract

Eigenstructure assignment provides the advantage of allowing great flexibility in shaping the closed-loop system responses by allowing specification of closed-loop eigenvalues and corresponding eigenvectors. But, the general eigenstructure assignment methodologies cannot guarantee stability robustness to parameter variations of a system. In this paper, we present a novel method that has the capability of exact assignment of an eigenstructure which can consider the probability of instability for LTI (Linear Time-Invariant) systems. The probability of instability of an LTI system is determined by the probability distributions of the closed-loop eigenvalues. The stability region for the system is made probabilistically based upon the Monte Carlo evaluations. The proposed control design method is applied to design a flight control system with probabilistic parameter variations to confirm the usefulness of the method.

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References

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