The paper presents an analysis of sliding mode control of discrete time systems with relative degree greater than one. The analysis leads us to obtain finite time stability of the output as well as the states of the system in absence of uncertainties, taking the output as the sliding variable. The simple equivalent control with state feedback guarantees this. In presence of uncertainties in the system model, the states and the output are ultimately bounded if the uncertainties are bounded in nature. It is also shown in the latter case, that the robustness of the output can be increased when the relative degree is more than one. © 2016 IEEE.

Bijnan Bandyopadhyay

Department of Electrical Engineering

IIT Jodhpur

S. Chakrabarty

J.A. Moreno

L. Fridman

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Journal	Proceedings of IEEE International Workshop on Variable Structure Systems
Publisher	IEEE Computer Society
ISSN	21654816