Robust preview control of nonlinear uncertain discrete-time time-delayed singular systems via sliding mode approach

Abstract

This paper addresses the problem of preview sliding mode control for a class of nonlinear uncertain discrete-time singular systems with time-delays. A difference operator approach is used to deal with the controlled system such that the derived augmented systems including preview information of reference signal can be constructed. A suitable surface is proposed in the sense of admissibility by the free-weighed matrix technique. Based on this, a sliding mode controller with preview information is constructed incorporating with the tracking error to ensure that the closed-loop control system reaches the designed sliding mode surface within finite time. To apply the proposed control scheme to the practical engineering systems, the sliding mode tracking controller with preview information is developed for a DC motor based on the proposed control approach. The comparative experiment results demonstrate that the preview information of reference signal can improve the tracking performance.

Feasibility and stability of preview control for 2-D discrete-time systems described by the Roesser model

“…This formulation allows for the controller model to be developed for robust performance in the presence of plant uncertainty. The authors in [32][33][34] have shown that for known plant uncertainties, a plant's accuracy can be further improved. The norm of uncertainty is supposed to be bound and the reference signal is predicted with a defined length.…”

Observer-based preview control for T-S fuzzy systems

“…As a special tracking control method, preview control (PC) is known as an ideal tracking effect because future information about disturbances or references can be fully used, which makes the PC method the first choice for tracking control (Lin and Ren, 2023; Nidhika and Akhilesh, 2015), and it has been extensively employed in practical engineering models successfully, e.g. aerospace vehicles (Cao et al ., 2021), voltage-source inverters (Yim, 2019) and unmanned vehicles (Zhou, 2021).…”