Journal of Electrical Engineering and Technology

The Korean Institute of Electrical Engineers (대한전기학회)
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Decoupling Controller Design for H∞ Performance Condition

  • Park, Tae-Dong (Dept of Applied Robot Convergent Technology R&D Division, Korea Institute of Industrial Technology) ;
  • Choi, Goon-Ho (IT Media Research Center, Korea University of Technology and Education) ;
  • Cho, Yong-Seok (Dept of Electronic and Information Engineering, Konyang University) ;
  • Park, Ki-Heon (Dept of Electrical Engineering, SungKyunKwan University)
  • Received : 2010.01.06
  • Accepted : 2011.08.31
  • Published : 2011.11.01
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Abstract

The decoupling design for the one-degree-of-freedom controller system is treated within the $H_{\infty}$ framework. In the present study, we demonstrate that the $H_{\infty}$ performance problem in the decoupling design is reduced into interpolation problems on scalar functions. To guarantee the properness of decoupling controllers and the overall transfer matrix, the relative degree conditions on the interpolating scalar functions are derived. To find the interpolating functions with relative degree constraints, Nevanlinna-Pick algorithm with starting function constraint is utilized in the present study. An illustrative example is given to provide details regarding the solution.

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References

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