Disturbance attenuation in linear systems via dynamical compensators: A parametric eigenstructure assignment approach

G.R. Duan, George Irwin, Jiakang Liu

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

A simple approach is proposed for disturbance attenuation in multivariable linear systems via dynamical output compensators based on complete parametric eigenstructure assignment. The basic idea is to minimise the H-2 norm of the disturbance-output transfer function using the design freedom provided by eigenstructure assignment. For robustness, the closed-loop system is restricted to be nondefective. Besides the design parameters, the closed-loop eigenvalues are also optimised within desired regions on the left-half complex plane to ensure both closed-loop stability and dynamical performance. With the proposed approach, additional closed-loop specifications can be easily achieved. As a demonstration, robust pole assignment, in the sense that the closed-loop eigenvalues are as insensitive as possible to open-loop system parameter perturbations, is treated. Application of the proposed approach to robust control of a magnetic bearing with a pair of opposing electromagnets and a rigid rotor is discussed.
Original languageEnglish
Pages (from-to)129-136
Number of pages8
JournalIEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS
Volume147
Issue number2
Publication statusPublished - 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Instrumentation

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