  In this paper, the problem of output feedback sliding mode control of linear
sampled-data multi-input multi-output systems is considered. Existing sliding
mode control schemes can attenuate the influence of an external disturbance by
driving system states onto a sliding surface. However, they can exhibit high
gains during transients, which can be $O(1/T)$ where $T$ is the sampling time
period. To address this problem, a new strategy, which employs disturbance
approximation, is proposed so that the control effort will be $O(1)$. The new
method avoids deadbeat phenomena and hence, it will be less sensitive to noise.
Theoretical analysis is provided to show the convergence and robustness of the
proposed method. Simulations were conducted to show the efficiency of the
proposed approach.
