International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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[ $H_2$ ]-optimal Control with Regional Pole Assignment via State Feedback

  • Wang Guo-Sheng (Department of Control Engineering, Academy of Armored Force Engineering, Fengtai District) ;
  • Liang Bing (Center for Control Theory and Guidance Technology, Harbin Institute of Technology) ;
  • Duan Guang-Ren (Center for Control Theory and Guidance Technology, Harbin Institute of Technology)
  • Published : 2006.10.01
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Abstract

The design of $H_2$-optimal control with regional pole assignment via state feedback in linear time-invariant systems is investigated. The aim is to find a state feedback controller such that the closed-loop system has the desired eigenvalues lying in some desired stable regions and attenuates the disturbance between the output vector and the disturbance vector. Based on a proposed result of parametric eigenstructure assignment via state feedback in linear systems, the considered $H_2$-optimal control problem is changed into a minimization problem with certain constraints, and a simple and effective algorithm is proposed for this considered problem. A numerical example and its simulation results show the simplicity and effectiveness of this proposed algorithm.

Keywords

References

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