# On the Control Effort in Output Feedback Sliding Mode Control of Sampled-Data Systems

## TL;DR

This paper introduces a novel disturbance approximation strategy for output feedback sliding mode control in sampled-data systems, significantly reducing control effort and improving robustness compared to existing methods.

## Contribution

A new control approach employing disturbance approximation is proposed, achieving lower control effort and avoiding deadbeat phenomena in sampled-data sliding mode control.

## Key findings

- Control effort is reduced to O(1) from O(1/T).
- The method avoids deadbeat phenomena and noise sensitivity.
- Simulations confirm improved efficiency and robustness.

## Abstract

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.