A polynomial criterion for adaptive stabilizability of discrete-time nonlinear systems

In this paper, we will investigate the maximum capability of adaptive feedback in stabilizing a basic class of discrete-time nonlinear systems with both multiple unknown parameters and bounded noises. We will present a complete proof of the polynomial criterion for feedback capability as stated in "Robust stability of discrete-time adaptive nonlinear control" (C. Li, L.-L. Xie. and L. Guo, IFAC World Congress, Prague, July 3-8, 2005), by providing both the necessity and sufficiency analyzes of the stabizability condition, which is determined by the growth rates of the system nonlinear dynamics only.

Keywords

Uncertain nonlinear systems, Adaptive control, Robust stability, Discrete-time systems, Feedback capability

Full Text (PDF format)

Published 1 January 2006