Z. Y. Sun and Y. G. Liu, “Adaptive Stabilization for a Large Class of High-Order Uncertain Nonlinear Systems,” International Journal of Control, Vol. 82, No. 7, 2009, pp. 1275-1287. doi:10.1080/00207170802549529

has been cited by the following article:

• TITLE: Adaptive Output Tracking for Nonlinear Network Control Systems with Time-Delay

  AUTHORS: Jimin Yu, Haiyan Zeng

  KEYWORDS: Time-Delay; Network Control Systems; Backstepping Design; Adaptive Control; Output Tracking

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.1 No.3, September 28, 2012

  ABSTRACT: The problem of adaptive output tracking is researched for a class of nonlinear network control systems with parameter uncertainties and time-delay. In this paper, a new program is proposed to design a state-feedback controller for this system. For time-delay and parameter uncertainties problems in network control systems, applying the backstepping recursive method, and using Young inequality to process the time-delay term of the systems, a robust adaptive output tracking controller is designed to achieve robust control over a class of nonlinear time-delay network control systems. According to Lyapunov stability theory, Barbalat lemma and Gronwall inequality, it is proved that the designed state feedback controller not only guarantees the state of systems is uniformly bounded, but also ensures the tracking error of the systems converges to a small neighborhood of the origin. Finally, a simulation example for nonlinear network control systems with parameter uncertainties and time-delay is given to illustrate the robust effectiveness of the designed state-feedback controller.