Title	Discrete-Time Higher Order Sliding Mode [electronic resource] : The Concept and the Control / by Nalin Kumar Sharma, Janardhanan Sivaramakrishnan
Imprint	Cham : Springer International Publishing : Imprint: Springer, 2019
Connect to	https://doi.org/10.1007/978-3-030-00172-8
Descript	XVI, 96 p. 26 illus., 22 illus. in color. online resource

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

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