New Stability Criteria for Event‐Triggered Nonlinear Networked Control System with Time Delay

Abstract

This note focuses on the stability and stabilization problem of nonlinear networked control system with time delay. To alleviate the burden of transformation channel and shorten the dynamic process simultaneously, an improved event-triggered scheme is proposed. This paper employs an improved time delay method to enhance the performance and reduce the delay upper bound conservatism. Less conservative stability criteria related to the order N are derived by establishing an augmented Lyapunov-Krasovskii functional manufactured for the use of Bessel-Legendre inequality. In addition, an event-triggered controller is designed for nonlinear networked control system with time delay. At last, numerical examples are proposed to verify the effectiveness of the new method.

New Results on Stability Analysis for Sampled-Data Control Systems With Nonuniform Sampling and Communication Delays

“…In [25], less conservative stability conditions for delayed neural networks have been derived through the use of the free-matrix-based inequality. By employing the Bessel-Legendre-based inequality and reciprocally convex inequality, the stability and stabilization have been derived in [26] for event-triggered nonlinear networked control system with time delay. It is found that the canonical N -order Bessel-Legendre inequality method presented in [32] and generalized N -order free-matrix-based inequality method proposed in [35] can provide a lower bound for L (t) as tight as possible if N goes to infinity, which can greatly decrease the conservatism of the derived stability criterion based on the proper Lyapunov functional.…”

“…In addition, the proposed looped Lyapunov functional in this paper can be also extended to study the control synthesis problem for other various dynamical system such as networked control system [26], neural networks [43], [44], T-S fuzzy systems [45], and so on. By employing the Lyapunov functional obtained from the method, future work will focus on the research of stability, stabilization and synchronization control for the above mentioned systems.…”

Predictive control compensation for networked control system with time-delay

“…These characteristics include invariant, random, correlation, or independent. 13 However, the controlled object in NCS actually includes both the physical object and the control network. Even if the model of the physical object is accurate, because of the complexity of the control network, it is impossible to use mathematical tools such as differential equation or difference equation to describe it, so NCS is still unknown in essence.…”