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A Simple But Rich Test Example for H-Optimal Control

Bernhardsson, Bo LU and Hagander, Per LU (1992) American Control Conference, 1992
Abstract
A simple second order feed-forward disturbance attenuation problem is analyzed. The problem has one free parameter, the control weight ρ in the loss function. It is found that controller structure and uniqueness for H∞-control, in the optimal case, changes when ρ is varied. Sensitivity to initial conditions is also drastically changed. The example is simple enough to allow a solution by formula manipulation, but is rich enough to give physically reasonable controllers and insight into the behavior of both state-space and polynomial H∞-methods at optimality. Details can be found in [6].
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American Control Conference, 1992
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English
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id
b7dadaae-f1ea-4ce4-bbe3-4ac00df4ada1 (old id 8517397)
date added to LUP
2016-01-14 11:32:22
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@misc{b7dadaae-f1ea-4ce4-bbe3-4ac00df4ada1,
  abstract     = {A simple second order feed-forward disturbance attenuation problem is analyzed. The problem has one free parameter, the control weight ρ in the loss function. It is found that controller structure and uniqueness for H∞-control, in the optimal case, changes when ρ is varied. Sensitivity to initial conditions is also drastically changed. The example is simple enough to allow a solution by formula manipulation, but is rich enough to give physically reasonable controllers and insight into the behavior of both state-space and polynomial H∞-methods at optimality. Details can be found in [6].},
  author       = {Bernhardsson, Bo and Hagander, Per},
  language     = {eng},
  title        = {A Simple But Rich Test Example for H<sub>∞</sub>-Optimal Control},
  year         = {1992},
}