Finite-time H∞ bounded control of networked control systems with mixed delays and stochastic nonlinearities

• Published in: Advances in difference equations Vol. 2020; no. 1
• Main Authors: Hou, Ling, Chen, Dongyan, He, Chan
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2020; Springer Nature B.V
• Subjects: Analysis; Control systems; Difference and Functional Equations; Feedback control; Functional Analysis; H-infinity control; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Output feedback; Partial Differential Equations; Random variables; Dynamic output feedback control; Stochastic nonlinearities; Mixed delays; Finite-time; Lyapunov–Krasovskii functional method
• ISSN: 1687-1847; 1687-1839; 1687-1847
• DOI: 10.1186/s13662-020-2499-0

In this study, we investigate the stochastic finite-time H ∞ bounded control problem for a class of networked control systems (NCSs) subject to mixed delays, stochastic nonlinearities, and randomly missing measurement. The mixed delays consist of discrete time-varying and distributed delays. The stochastic nonlinearities satisfy statistical means. The missing measurement is modeled by a Bernoulli-distributed random variable. By applying stochastic analysis method we present sufficient conditions guaranteeing the stochastic finite-time boundedness of a closed-loop system with desired H ∞ performance level within a finite time interval. Moreover, dynamic output feedback controller can be obtained in terms of a set of matrix inequalities, which can be easily solved by using the cone complementarity linearization method (CCLM). Finally, we provide two numerical examples to illustrate the validity of the proposed design technique.