Design of Adaptive SOSM Controller Subject to Disturbances With Unknown Magnitudes

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 70; no. 5; pp. 2133 - 2142
• Main Authors: Mei, Keqi, Qian, Chunjiang, Ding, Shihong
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.05.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Control systems design; Controllers; Disturbances; disturbances with unknown magnitudes; finite-time stability; Heuristic algorithms; Low-pass filters; Nonlinear control; nonlinear control gains; Nonlinear systems; Numerical stability; Research and development; Second-order sliding mode; Sliding mode control; Stability analysis; Stability criteria; Upper bound; Upper bounds
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2023.3241291

The work is dedicated to handling the issue of a new adaptive second-order sliding mode (ASOSM) controller design for a class of nonlinear systems subject to disturbances and nonlinear control gains with unknown magnitudes. Significantly, the proposed controller involves two adaptive parameters, which are generated from a dual-layer adaptive mechanism. The mechanism directs at the reestablishment of the upper bounds of the unknown disturbances and the handling of the nonlinear control gains. Through a combination of the mechanism and the finely renovated adding a power integrator technique, a novel design procedure is introduced to skillfully design an ASOSM controller. A rigorous Lyapunov analysis is afforded to evince the finite-time stability of the whole system. Finally, two illustrative examples are given to exhibit the effectiveness of the developed approach.