Parametric control to a type of quasi-linear second-order systems via output feedback

Da Ke Gu*, G-P Liu, Guang Ren Duan

*Corresponding author for this work

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Abstract

This paper considers the design of output feedback control for a type of quasi-linear second-order systems with the time-varying coefficient matrices containing the state variables and a time-varying parameter vector. Based on the solution to a type of second-order generalised Sylvester matrix equations, general complete parameterisation of a quasi-linear output feedback controller is established with respect to the state variables, the time-varying parameter vector, the constant closed-loop system and another two groups of arbitrary parameters, and also for the left and right closed-loop eigenvectors matrices. With the proposed parametric output feedback control, the closed-loop system can be transformed into a constant linear system with desired eigenstructure. Finally, simulation results are provided to illustrate the convenience and effectiveness of application in the general spacecraft rendezvous problem.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalInternational Journal of Control
Early online date19 Jul 2017
DOIs
Publication statusE-pub ahead of print - 19 Jul 2017

Keywords

  • eigenstructure assignment
  • output feedback
  • parametric control
  • Quasi-linear second-order systems
  • spacecraft rendezvous

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