H∞ control for networked stochastic non‐linear systems with randomly occurring sensor saturations, multiple delays and packet dropouts

• Published in: IET control theory & applications Vol. 11; no. 17; pp. 2954 - 2963
• Main Authors: Li, Xiuying, Sun, Shuli
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 24.11.2017
• Subjects: asymptotic stability; Bernoulli distributed stochastic variables; control system synthesis; delays; disturbance attenuation; H∞ control; linear matrix inequalities; linear matrix inequality; Lyapunov function; Lyapunov methods; multiple delays; networked control systems; networked stochastic nonlinear systems; nonlinear control systems; observers; observer‐based nonlinear H∞ controller; packet dropouts; randomly occurring sensor saturations; stochastic analysis; stochastic systems
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2017.0199

This study investigates an H∞ control problem for a class of stochastic non‐linear systems where the measurement outputs subject to randomly occurring sensor saturations are transmitted through the network link and will inevitably encounter the random delays and multiple packet dropouts. The network‐induced phenomena have the random nature which is governed by Bernoulli distributed stochastic variables. The existence of transmission delays will lead to the packets arriving at the receiver side with one or multiple or none at each sampling instants, which are stored in a finite buffer and are all used to update the observer. By employing stochastic analysis and Lyapunov functional approaches, an observer‐based non‐linear H∞ controller is designed via linear matrix inequality technique. The asymptotic stability with a given disturbance attenuation level is guaranteed by solving the feasibility of certain LMI. A simulation example is exploited to illustrate the usefulness and effectiveness of the proposed method.