Design of Sliding Mode Control Subject to Packet Losses

• Published in: IEEE transactions on automatic control Vol. 55; no. 11; pp. 2623 - 2628
• Main Authors: Yugang Niu, Ho, Daniel W C
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.2010; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Automatic control; Communication networks; Computer science; control theory; systems; Computer simulation; Computer systems and distributed systems. User interface; Control system synthesis; Control theory. Systems; Decision support systems; Discrete-time systems; Dropouts; Exact sciences and technology; Mathematical models; packet losses; Sliding; Sliding mode; Sliding mode control; sliding mode control (SMC); Software; Stability analysis; Trajectories; Trajectory; Discrete-time systems; sliding mode control (SMC); Probabilistic approach; Variable structure control; Sliding mode; Variable structure system; Lyapunov method; Feedback regulation; Control synthesis; Lossy channel; Communication network; Discrete geometry; Discrete time; packet losses; Transmission loss
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2069350

This technical note investigates the design of sliding mode control subject to packet losses. It is assumed that there exists a communication network in the feedback loop, and the dropout of data packet may occur. First, an estimation method is proposed to compensate the packet dropout. Subsequently, a discrete-time integral sliding surface involving dropout probability is introduced and a sliding mode controller is designed. By using the stochastic Lyapunov method, the state trajectories are shown to enter into (in mean square) a neighborhood of the specified sliding surface. Meanwhile, the stability of sliding mode dynamics is also ensured. Finally, numerical simulation example is provided.