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Imaginary-Axis Zeros in Multivariable H-Optimal Control

  • Michael G. Safonov
Part of the NATO ASI Series book series (volume 34)

Abstract

When a plant has jω-axis zeros or jω-axis poles, algorithms for computing H -optimal control laws fail. Closely related problems arise with strictly proper plants; these plants may be interpreted as having jω-axis zeros at ω = ∞. These intrinsic problems with H arise because the optimal control system has an irrational transfer function with point discontinuities on the jω-axis at the offending jω-axis zeros and poles of the plant. The difficulties with jω-axis poles and zeros are discussed and the methods for perturbing the H-problem to produce near-optimal rational control laws are proposed.

Keywords

Optimal Control System Proper Plant Linear Feedback System Mixed Sensitivity Matrix Fraction Description 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Michael G. Safonov
    • 1
  1. 1.Department of Electrical EngineeringUniversity of Southern CaliforniaLos AngelesUSA

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