Finite-time $H_{\infty }$ bounded control of networked control systems with mixed delays and stochastic nonlinearities

Abstract

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.

Asynchronous finite‐time dynamic output feedback control for discrete‐time switched linear systems with admissible edge‐dependent average dwell time

“…In Yuan and Wu [19], a DOF control law was designed for discrete‐time switched linear systems under asynchronous switching, and Jiang and Yan [23] have studied the same problem to the continuous‐time case. Some other recent results on output feedback control can be found in earlier studies [24–27], where Li et al [26] studied the event‐triggered DOF control problem for linear systems with actuator saturation, Chen et al [24] investigated the event‐triggered finite‐time DOF control for switched affine systems with asynchronous switching, [25] Hou et al addressed the problem of DOF $$$ {H}_{\infty } $$$ controller for a class of stochastic nonlinear networked control systems, and Li et al [27] studied the problem of output tracking control for a class of delayed switched linear systems via state‐dependent switching and DOF control. Besides that, Jiang and Yan [28] investigated the $$$ {H}_{\infty } $$$ hybrid DOF control problem for discrete‐time switched linear systems under asynchronous switching.…”

Delta-Modulator-Based Quantised Output Feedback Controller for Linear Networked Control Systems

“…In the past few decades, researchers have developed several effective control design methods and have proved their stability, both for linear and nonlinear systems [13]- [19]. Some of the existing control methods such as sliding mode control [20], event-triggered control [21], H ∞ control [22], formation tracking control [23], model predictive control [24], distributed control [25] and so on have been tailored for Networked control to mitigate the effects of various network imperfections and make the NCS more robust. These have been applied to many engineering applications such as fault detection, identifying cyberattacks, robot applications and many more.…”