Observer-based control of a class of time-delay nonlinear systems having triangular structure

✍ Scribed by Salim Ibrir

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 511 KB
• Volume: 47
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/j.automatica.2010.10.052

✦ Synopsis

Time-delay systems constitute a special class of dynamical systems that are frequently present in many fields of engineering. It has been shown in the literature that the existence of a stabilizing observer-based controller is related to delay-dependent conditions that are generally satisfied for a small time delay. Motivating works towards reducing the conservatism of the results are among the on-going research topics especially when partial-state measurements are imposed. This paper investigates the problem of observer-based stabilization of a class of time-delay nonlinear systems written in triangular form. First, we show that a delay nonlinear observer is globally convergent under the global Lipschitz condition of the system nonlinearity. Then, it is shown that a parameterized linear feedback that uses the observer states can stabilize the system whatever the size of the delay. An illustrative example is provided to approve the theoretical results.