Sliding mode control subject to rice channel fading

• Published in: IET control theory & applications Vol. 13; no. 16; pp. 2529 - 2537
• Main Authors: Li, Jiarui, Niu, Yugang
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 05.11.2019
• Subjects: control system synthesis; discrete time systems; fading measurements; H∞ control; Research Article; rice channel fading; sliding mode control; stability; stochastic stability; stochastic systems; variable structure systems; wireless sensor network; wireless sensor networks; rice channel fading; discrete-time systems; stochastic stability; wireless sensor networks; discrete time systems; sliding mode control; wireless sensor network; control system synthesis; H∞ control; stochastic systems; fading measurements; variable structure systems; stability
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2019.0130

In this study, the sliding mode control problem is investigated for a class of discrete-time systems with fading measurements. The channel fading is modelled as the Rice fading model to characterise the fading phenomenon via wireless sensor network. An integral-like sliding surface involving fading parameters is first constructed. And then, a sliding mode controller is designed by using fading measurements and channel parameters. It is shown that the state trajectories can be driven to the neighbourhood around the specified sliding surface and the stochastic stability with prescribed $\mathcal {H}_{\infty }$H∞ performance can be attained. Finally, a numerical example is provided.