Novel compensation-based non-fragileH_∞control for uncertain neutral systems with time-varying delays

Abstract

This article studies the non-fragile H 1 control problem for a class of uncertain linear neutral systems with time-varying delays, where the delay in neutral-type term includes a fast-varying case (i.e. the derivative of delay is more than one), which is seldom considered in current literature. The less conservative delay-dependent H 1 control results for this systems are proposed by applying a new Lyapunov-Krasovskii functional and a geometric series compensation method. Based on the new functional, the systems with fast-varying neutral-type delay can be handled. The benefit brought by applying the compensation method is that many more useful elements can be included in criteria, which are generally ignored when estimating the upper bound of the derivative of Lyapunov-Krasovskii functional. A numerical example is provided to verify the effectiveness of the proposed criteria.

Delay-dependent resilient-robust stabilisation of uncertain networked control systems with variable sampling intervals

“…Yang et al 502 Gao et al 2008;Zhang, Li, Yang, and Yang 2009a;Fridman 2010;Luan, Shi, and Liu 2011;Quang, Holic, and Vesely 2011;Yang et al 2011b;Liu et al 2012), free weighting matrices are introduced in order to reduce the conservation and bring the flexibility to solving the resulting LMIs. However, too many free weighting matrices employed in the existing methods may complicate the system analysis and increase the computational demand to some degree.…”

“…Example 1: Consider system (1) with the state feedback controller (3) and the parameters abridged from Lien and Yu (2007) (see also Liu et al 2012) are listed as follows…”

Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method

“…For the sake of convenience here, we only consider the case of f 1 and f 2 with zero-and first-order terms in this paper (i.e., only let ρ = 1 and 2), which are similar with the methods in [30,31]. Meanwhile, we have proposed a method to handle the case with the infinite high-order terms (ρ > 2) in [32,33], which can achieve the aim of further reducing conservatism.…”

Non‐fragile robust control for networked control systems with long time‐varying delay, randomly occurring nonlinearity, and randomly occurring controller gain fluctuation

“…In reality, the controller should be able to tolerate some uncertainty in its coefficients due to the fact that the uncertainty is not avoided, which is caused by many reasons, such as finite word length in digital systems, the imprecision inherent in analog systems, and the need for additional tuning of parameters in the final controller implementation . Recently, there have been some new progresses to cope with the non‐fragile controller design problem , but a non‐fragile controller with randomly occurring controller gain fluctuation (ROCGF) has not yet received adequate research attention.…”