Sliding-Mode Control for Systems With Mismatched Uncertainties via a Disturbance Observer

TLDR

The authors aim to develop a sliding‑mode control strategy for systems with mismatched uncertainties using a nonlinear disturbance observer. They design a novel sliding surface based on disturbance estimation to construct a DOB‑based SMC that counteracts mismatched disturbances. The proposed method reduces chattering, preserves nominal performance, and outperforms baseline SMC and integral SMC in simulations.

Abstract

This paper develops a sliding-mode control (SMC) approach for systems with mismatched uncertainties via a nonlinear disturbance observer (DOB). By designing a novel sliding surface based on the disturbance estimation, a DOB-based SMC method is developed in this paper to counteract the mismatched disturbance. The newly proposed method exhibits the following two attractive features. First, the switching gain is only required to be designed greater than the bound of the disturbance estimation error rather than that of the disturbance; thus, the chattering problem is substantially alleviated. Second, the proposed method retains its nominal performance, which means the proposed method acts the same as the baseline sliding-mode controller in the absence of uncertainties. Simulation results of both the numerical and application examples show that the proposed method exhibits much better control performance than the baseline SMC and the integral SMC (I-SMC) methods, such as reduced chattering and nominal performance recovery.