Semidefinite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins

@article{King2000SemidefinitePT,
  title={Semidefinite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins},
  author={Belinda B. King and Ekkehard W. Sachs},
  journal={Comp. Opt. and Appl.},
  year={2000},
  volume={17},
  pages={37-59}
}
In this paper, the compensator based reduced order control design framework of 2] is modiied to yield low order systems with guaranteed stability margins. This result is achieved through use of a logarithmic barrier function. In addition, a reduced basis method is formulated in which the compensator equations are approximated on uneven grids; guaranteed stability margins are also included. The methods are tested numerically on a one dimensional, nonlinear, damped, hyperbolic structural control… CONTINUE READING
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