Jianjun Bai

New delay-dependent robust stability criteria for uncertain neutral systems with mixed delays

Abstract This paper investigates the problem of robust stability for neutral type system with mixed delays and time-varying structured uncertainties. Based on Lyapunov stability theory and linear matrix inequalities (LMIs) method, some new stability criteria are presented. The difference between this paper and other existing results is that the lower bounds and upper bounds of the neutral-delay and discrete-delay are considered, which will obtain some less conservative stability analysis results. Several numerical examples are given to demonstrate the effectiveness and merit of the proposed results.

Finite-time stability analysis of discrete-time fuzzy Hopfield neural network

The finite-time stability analysis of discrete-time fuzzy Hopfield neural networks is studied in this paper. Firstly, the concept of finite-time stability is generalized to the fuzzy neural networks. And then by the Lyapunov approach and linear matrix inequality technique, a sufficient condition for the system to be finite-time stable is proposed, based on which, the finite-time stability condition for the system with norm bounded uncertainties is also given. Finally a numerical example is given to illustrate the effectiveness of the proposed approach.

Networked H∞ filtering for T–S fuzzy systems with quantization and data dropouts☆

Abstract This paper studies the problem of H ∞ filtering problem for a class of nonlinear time-varying delay systems with unideal communication links. Two defectives are concerned including measurement quantization and packet dropouts. The quantized measurements are transmitted to the filter via network, where the phenomena of packet loss are taken into account. By using Lyapunov–Krasovskii functional, a less conservative delay-dependent stability condition for the closed-loop NCSs is derived. The H ∞ fuzzy controller, which is designed in terms of linear matrix inequalities (LMIs), is developed for the asymptotic stabilization of the closed-loop NCSs. Numerical examples are given to illustrate the effectiveness of the proposed method.

Modeling and H∞ control of wireless networked control system with both delay and packet loss

Abstract This paper investigates the H ∞ control problem for a class of wireless networked control system (NCS). Both time delays and packet losses are considered simultaneously in the wireless communication networks. Under some assumptions, a switched system model with time-varying delays is established to describe the closed-loop system, by which the effect of packet losses is dealt differently from time delays. Based on the obtained model, a sufficient condition is proposed to guarantee the closed-loop system stable and ensure a prescribed H ∞ performance level. Examples illustrate the effectiveness of the proposed approach.

Quantized Observer-Based Sliding Mode Control for Networked Control Systems Via the Time-Delay Approach

This paper investigates the sliding mode control problem for networked control systems, which are influenced by the non-ideal network environment, such as network-induced delays, packet dropouts and quantization errors. The states of the system are assumed to be unavailable, and an observer is designed to estimate the state of the system, based on which a sliding mode controller is given to guarantee the closed-loop system to be stable. Furthermore, it is shown that the proposed control scheme ensures the reachability of the sliding surfaces in both the state estimate space and the estimation error space. Finally, a numerical example is given to illustrated the effectiveness of the proposed methodology.

Fuzzy regional pole placement based on fuzzy Lyapunov functions

This paper studies the regional pole placement problem for a class of T-S fuzzy systems. Firstly, a definition for the fuzzy systems to be D stable is given from the viewpoint of Lyapunov functions. Then a new sufficient condition is proposed to guarantee all the poles of the fuzzy systems located within a prescribed LMI region by using the fuzzy Lyapunov functions method and introducing some free matrices. And then the controller design approach is given by solving a set of LMIs. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach.

Pole placement with LMI constraint of fuzzy descriptor system

Abstract This paper investigates the pole placement problem for a class of fuzzy descriptor system. Firstly, based on the fuzzy Lyapunov function approach and with the introduction of some free matrices, a new sufficient condition for the fuzzy descriptor system to be D stable is presented. Then based on this new condition, a controller design method is proposed to guarantee the poles of the closed-loop system lying in a given LMI region. At last, numerical examples are given to show the efficiency of the proposed approach.

H ∞ sliding mode control for discrete-time singular systems with time-varying delay

In this paper, the problem of H∞ sliding mode control for discrete-time singular systems with time-varying delay is studied. A new type of sliding mode surface involving the singular matrix E is proposed firstly, based on which, a less conservative condition is obtained to guarantee the ideal sliding mode dynamics of the singular system to be admissible with a γ-Ievel disturbance attenuation of the unmatched disturbance. Then by constructing an estimation of the time-varying delay term, a Iinear SMC Iaw is proposed to guarantee that the system states converge into a vicinity of the ideal sliding surface. Finally, numerical examples are provided to demonstrate the effectiveness of the presented method.