In [27], a reaching law approach was proposed for the quasi-sliding mode control of discrete-time LTI systems of form (1.20). The reaching law approach aims at satisfying the condition s(k+1)–s(k)=–qτs(k)–ετsgn (s(k)), (2.1) where, s(k)=cT x(k) is the sliding function, q and ε are controller parameters satisfying the relationship 1 – qτ > 0, ε > o. © Springer-Verlag Berlin Heidelberg 2006.