Cheap Control Problem of Linear Systems With Delays: A Singular Perturbation Approach

  • V. Y. Glizer
Conference paper
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)


A quadratic cheap control of linear systems with multiple state delays is considered. This optimal control problem is transformed to an optimal control problem of singularly perturbed systems. A composite suboptimal control of the latter is designed based on its asymptotic decomposition into two much simpler parameter-free subproblems, the slow and fast ones. Using this composite control, a suboptimal control of the original cheap control problem is constructed and justified for two classes of the initial function for the state variable. An illustrative example is presented.


time-delayed system cheap control singular perturbation composite control 


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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • V. Y. Glizer
    • 1
  1. 1.Faculty of Aerospace EngineeringTechnion — Israel Institute of TechnologyHaifaIsrael

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