Fault estimation for continuous‐time non‐linear switched systems with time‐varying delay based on intermediate estimator

Abstract

In this work, the fault estimation (FE) problem is studied for continuous-time non-linear switched systems with timevarying delay over fading channel under average dwell time switching. A novel FE method based on the intermediate estimator is used to eliminate the observer matching constraint condition, where an intermediate variable is introduced to estimate the state and fault simultaneously. Meanwhile, the fading channel of data transmission is modelled as Bernoulli distributed white sequences. Furthermore, because the observer matching conditions are eliminated by the intermediate estimator, both the wirtinger integral inequality and an advanced reciprocal convex combination method are utilised to provide a tighter estimation on continuous derivative of certain Lyapunov-Krasovskii function over fading channel, leading to a less conservative result. Moreover, the solution of the parameters for intermediate estimator is characterised in the feasibility of linear matrix inequality problem. Finally, two numerical examples indicate the proposed technique is valid and superior.

Unified finite‐time fault estimation and fault‐tolerant control for Takagi–Sugeno fuzzy singular systems

“…Further, from the developed LKF (18) and the afore-defined relation, for some real matrix , we can attain the following inequality:…”

“…By using a similar strategy as in Theorem 1, we will prove this theorem. To achieve this objective, we have employed the LKF (18) and linear congruence transformation. Specifically, let us assume the relation…”

“…In light of these favorable attributes, there has been a significant amount on study of fault estimation methods. [17][18][19] On yet another frontier in the realm of dynamical systems, an infinite time span is absolutely essential to yield the stable performance of the system during the asymptotic and exponential stabilization. However, the functionality of the system over a finite period of time is much needed in real-time scenarios.…”

An Intelligent Model-Based Effective Approach for Glycemic Control in Type-1 Diabetes

“…Nonlinear control methods are applicable on the systems which are time-variant, nonlinear in behavior, or both. This theory is generally applied to real-world control systems owing to their inherently nonlinear nature [ 26 , 27 ]. The major advantage of this theory is that it ensures robustness against uncertainties and disturbances.…”

Exact delay range for the stabilization of linear systems with input delays

“…Various kinds of problems in control theory have been considered for delay systems. These problems contain stability 5 , stabilization 6 , optimal control 7 , consensus control 8 , formation control 9 , estimation 10 and so on. On stability and stabilization, aims of the existing literature include establishment of stability and stabilization criteria and designing feedback control to stabilize systems.…”