This monograph investigates the existence of higher order sliding mode in discrete-time systems and propounds a new concept of discrete-time higher order sliding mode. The authors propose a definition of discrete-time higher order sliding mode and a control law is designed by means of a concept for an uncertain linear-time invariant system, as well as the behavior of the closed-loop system is analyzed. Moreover, the book includes a thorough treatment of the probabilistic and non-deterministic case, i.e. stochastic discrete-time higher order sliding mode. The target audience primarily comprises research experts in control theory but the book may also be beneficial for graduate students alike.

Introduces the concept of discrete-time higher order sliding mode Analyzes both the deterministic and non-deterministic case Written by experts in the field

Inhalt
Preliminaries.- Discrete-time Higher Order Sliding Mode.- Optimal Discrete-time Higher Order Sliding Mode.- Discrete-time Higher Order Sliding Mode Control of Unmatched Uncertain Systems.- Adaptive Discrete-time Higher Order Sliding.- Stochastic Discrete-time Higher Order Sliding Mode.