robust control
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Lyapunov-Stable Adaptive Fractional-Order Interval Type-2 Fuzzy Control for Robust Anti-Lock Braking Under Uncertain Road Adhesion Conditions
Abstract: This paper proposes a Lyapunov-stable Adaptive Fractional-Order Interval Type-2 Fuzzy Logic Controller (FO-IT2FLC) for robust anti-lock braking system (ABS) control under nonlinear vehicle dynamics and uncertain road adhesion conditions. The proposed framework integrates fractional-order error dynamics to capture memory-dependent tire–road interaction, interval Type-2 fuzzy inference to model uncertainty via footprint-of-uncertainty representation, and a Lyapunov-based adaptive learning mechanism for real-time parameter tuning. A rigorous stability proof guarantees boundedness of all closed-loop …
Published in Journal of Control & Instrumentation · Vol. 17, Issue 2, 2026 Read article
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Reaching Conditions for Discrete-time Sliding Mode Control: Analysis and Design
Abstract: Sliding mode control (SMC) is a robust control method widely used in engineering due to its ability to handle uncertainties and disturbances effectively. In discrete-time sliding mode control (DSMC), system trajectories are constrained to sliding surfaces in the state space, leading to improved performance and stability. This paper provides an overview of DSMC, focusing on its applications, advantages, and limitations. It discusses the use of DSMC in various engineering fields …
Published in International Journal of Electrical Machine Analysis and Design · Vol. 2, Issue 1, 2024 · pp. 7–14 Read article