Second-Order Sliding Mode Control Design Subject to an Asymmetric Output Constraint

• Published in: IEEE transactions on circuits and systems. II, Express briefs Vol. 68; no. 4; pp. 1278 - 1282
• Main Authors: Liu, Lu, Ding, Shihong, Yu, Xinghuo
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: adding a power integrator; Algorithms; Asymmetry; barrier Lyapunov function; Circuits and systems; Closed loop systems; Control design; Control methods; Escape systems; Feedback control; finite-time stability; Liapunov functions; Lyapunov methods; Nonlinear systems; output constraint; Pendulums; Second-order sliding mode; Sliding mode control; Stability analysis; Trajectory
• ISSN: 1549-7747; 1558-3791
• DOI: 10.1109/TCSII.2020.3021715

In this brief, a novel second-order sliding mode (SOSM) control method is developed to solve the asymmetric output constraint problem by using a power integrator and barrier Lyapunov function (BLF). The new BLF is first constructed based on the asymmetric constraint condition. A novel SOSM algorithm is then constructed for the nonlinear systems with an asymmetric output constraint. Under the proposed SOSM algorithm, the output of the resulting closed-loop system will never escape from the asymmetric constraint. Finally, a pendulum system is adopted to verify the validity of the theoretical results.