Multi-objective controller design for bi-linear stochastic systems via sliding mode control concept

K. Y. Chang, C. Y. Lu, C. H. Shih, P. C. Chen

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A sliding mode controller u(t) is designed to achieve the following three objectives simultaneously: eigenvalue placement, H norm constraint, and individual state variance constraint for bi-linear stochastic systems. By using the invariance property of sliding mode control, the matched bi-linear term of the system disappears on the sliding mode. With the aid of the upper bound covariance control theory, the controller u(t) is derived in which the control feedback gain matrix G is synthesized for achieving the above multiple objectives.

Original languageEnglish
Pages (from-to)435-443
Number of pages9
JournalProceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Issue number4
Publication statusPublished - 2009 Jul 17


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Mechanical Engineering

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