Advertisement

A Computational Framework

  • Geir E. Dullerud
Chapter
  • 160 Downloads
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

The main robustness result of the previous chapter is a both necessary and sufficient condition for robust stabilization of a sampled-data system to structured LTI perturbations. The condition is given in terms of the structured singular value of the sampled-data system frequency response µ Δ LTI (M(e )) evaluated on the unit circle. The capability to use this stability test therefore relies on the ability to effectively evaluate the structured singular value of the infinite dimensional operator M(e ). This chapter is aimed at developing a computational framework that addresses this task. The approach used is to obtain bounds: we construct a family of upper and lower bounds for µ Δ LTI (M(e )) whose members converge to µ Δ LTI (M(e )). The resulting computational procedure is one in which the accuracy of the bounds for µ Δ LTI (M(e )) can be systematically improved at the cost of additional computational effort.

Keywords

Compact Operator Spectral Radius Computational Framework Stability Radius Open Unit Ball 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Geir E. Dullerud
    • 1
  1. 1.Department of Electrical EngineeringCalifornia Institute of TechnologyPasadenaUSA

Personalised recommendations