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Keywords:

  • upper-triangular systems;
  • global stabilization;
  • sampled-data control

SUMMARY

This paper considers the problem of using a sampled-data controller to globally stabilize a class of uncertain upper-triangular systems. First, we design a continuous-time controller by integrating the nested saturation and Lyapunov design methods together. Then, the explicit formula for the maximum allowable sampling period is computed such that the discretized controller will guarantee global stability and robustness against uncertainties of the closed-loop system. The bound of a proposed sampled-data controller can be adjusted to any small level to accommodate the actuation bound in practical implementation. Copyright © 2012 John Wiley & Sons, Ltd.