Discrete Event-Triggered Robust Fault-Tolerant Control for Nonlinear Networked Control Systems withα-Safety Degree and Actuator Saturation

Abstract

This paper deals with the discrete event-triggered robust fault-tolerant control problem for uncertain nonlinear networked control systems (NNCSs) withα-safety degree. A discrete event-triggered communication scheme (DETCS) is initially proposed, and a closed-loop fault model is subsequently established for NNCSs with actuator saturation under the DETCS. Based on an appropriately constructed delay-dependent Lyapunov–Krasovskii function, sufficient conditions are derived to guarantee the asymptotic stability of NNCSs under two different event-triggered conditions and are established as the contractively invariant sets of fault tolerance withα-safety degree. Furthermore, codesign methods between the robust fault-tolerant controller and event-triggered weight matrix are also proposed in terms of linear matrix inequality. The simulation shows that the resultant closed-loop fault NNCSs possesses a high safety margin, and an improved dynamic performance, as well as a reduced communication load. A comparative analysis of the two event-triggered conditions is discussed in the experiment section.

The Multiobjective Constraint Fault-Tolerant Control of Event-Triggered Nonuniform Transmission for Networked T-S Fuzzy System

“…(1) When ( ) = 0, the failure nonlinear NCS possesses -safety degree [25]. (2) Under zero initial condition, for any nonzero ( ) ∈ 2 [0, ∞], the failure nonlinear NCS satisfies ‖ 1 ( )‖ 2 ≤ 1 ‖ ( )‖ 2 , where 1 is a given scalar and ‖ ⋅ ‖ 2 denotes 2 [0, ∞] norm.…”

“…In this paper, we used three definitions which are in our previous paper [25]: -safety degree, attraction domain of fault-tolerance with -safety degree, and the contractively invariant set of fault-tolerance with -safety degree.…”

“…The state transition ( ) = exp(− ) ( ) must be introduced into the proof course for system (17) to obtainsafety degree. Based on Lemma 5 [25], when ( ) ⊂ ℓ( ) and ( ) = 0, theṅ…”

“…Based on definition 2 of [25], if system (27) is asymptotically stable, thereafter, system (17) will possess -safety degree.…”

“…Apart from the general fault-tolerant control in NCS, the multiobjective constraint fault-tolerant control of NCS has also become the focus of academic research [22][23][24]. Aside from stability, the failure system should possess a few other control performances such assafety degree [25], ∞ -performance, 2 -performance, and pole assignment.…”