Global stabilization of a class of uncertain upper-triangular systems under sampled-data control
Article first published online: 30 JAN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 23, Issue 6, pages 620–637, April 2013
How to Cite
Du, H., Qian, C. and Li, S. (2013), Global stabilization of a class of uncertain upper-triangular systems under sampled-data control. Int. J. Robust Nonlinear Control, 23: 620–637. doi: 10.1002/rnc.2780
- Issue published online: 14 MAR 2013
- Article first published online: 30 JAN 2012
- Manuscript Accepted: 26 NOV 2011
- Manuscript Revised: 20 NOV 2011
- Manuscript Received: 25 FEB 2011
- upper-triangular systems;
- global stabilization;
- sampled-data control
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.