Finite‐time sampled‐data output feedback stabilization for a class of feed‐forward non‐holonomic systems

Abstract

AbstractThis article considers a finite‐time sampled‐data output feedback stabilization problem for a class of feed‐forward non‐holonomic systems. Due to that the states of the focused system are unavailable, a reduced‐order observer is designed to estimate the unavailable states with the sampled output detection of the non‐holonomic system, and two finite‐time sampled‐data stabilizers are respectively constructed by combining the backstepping and adding a power integral techniques. Based on the stepped and switching control strategies, the corresponding closed‐loop system can be globally finite‐time stable by the constructed stabilizers with allowable design constants and sampling period, and this can be proved by choosing an appropriate Lyapunov function candidate. In the end, two simulation examples, which include a numerical and a practical examples, are provided to verify the effectiveness of the proposed finite‐time stabilization method.