Output feedback stabilization of linear time-delay systems

  • Xi Li
  • Carlos E. de Souza
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 228)


This chapter considers the problem of output feedback stabilization of continuous time linear systems with a constant time-delay in the state. We develop a delay-dependent method for designing linear dynamic output feedback controllers which ensure global uniform asymptotic stability for any time-delay not larger than a given bound. The proposed stabilization method, which is based on linear matrix inequalities, is then extended to the case of uncertain polytopic systems. We also consider the problem of delay-dependent robust stabilization via output feedback for state delayed systems with norm-bounded parameter uncertainty. In this situation, the solution is given in terms of a generalized eigenvalue problem. The developed stabilization methods can be implemented numerically very efficiently using existing convex and quasi-convex optimisation techniques.


Linear Matrix Inequality Output Feedback Generalize Eigenvalue Problem Output Feedback Controller Output Feedback Stabilization 
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Copyright information

© Springer-Verlag London Limited 1998

Authors and Affiliations

  • Xi Li
    • 1
  • Carlos E. de Souza
    • 1
    • 2
  1. 1.Department of Electrical and Computer EngineeringThe University of NewcastleAustralia
  2. 2.National Laboratory for Scientific Computing — LNCC/CNPqRio de Janeiro, RJBrazil

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