International Journal of Control, Automation, and Systems

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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A Nonlinear Programming Approach to Biaffine Matrix Inequality Problems in Multiobjective and Structured Controls

  • Lee, Joon-Hwa (Department of Electrical & Computer Engineering University of Seoul) ;
  • Lee, Kwan-Ho (School of Electrical Engineering & Computer Science, Seoul National University) ;
  • Kwon, Wook-Hyun (School of Electrical Engineering & Computer Science, Seoul National University)
  • Published : 2003.09.01
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Abstract

In this paper, a new nonlinear programming approach is suggested to solve biaffine matrix inequality (BMI) problems in multiobjective and structured controls. It is shown that these BMI problems are reduced to nonlinear minimization problems. An algorithm that is easily implemented with existing convex optimization codes is presented for the nonlinear minimization problem. The efficiency of the proposed algorithm is illustrated by numerical examples.

Keywords

References

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