Nonfragile Quantized Dissipative Filter for Nonlinear Networked Systems

To address the problem of filter parameter perturbation in nonlinear networked systems, a nonfragile quantized dissipative filter is designed by considering the coexistence of random one-step time delay, multipacket losses, and quantization error. We acquired the sufficient conditions for the existence of filter by choosing appropriate Lyapunov function as well as utilizing linear matrix inequality. Furthermore, we obtained the parameter expressions of the designed filter. The designed filter could meet the performance requirements of stability and dissipativity for the filter error system under the condition of allowed time delays, packet loss probability, and quantization density. The effectiveness of the designed filter is verified by numerical simulation.

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α− dissipative filtering for Singular Markov jump system with time delays

Transactions of the Institute of Measurement and Control ◽

10.1177/01423312211069462 ◽

2022 ◽

pp. 014233122110694

Author(s):

Juan Zhou ◽

HuiLing Lai ◽

Bo Men

Keyword(s):

Time Delays ◽

Design Method ◽

Sufficient Conditions ◽

Linear Matrix ◽

Markov Jump ◽

Markov Jump System ◽

Error System ◽

Jump Systems ◽

Dissipative Filtering ◽

Partitioning Technique

This paper considers the [Formula: see text] dissipative filtering problem for a class of Singular Markov jump systems (SMJSs) with distributed time delays and discrete time delays. First, using Lyapunov’s stability theory and combining delay partitioning technique, integral partitioning technique, and free weight matrix method, the sufficient conditions for stochastic admissibility and [Formula: see text] dissipation of system are studied. Then, a filtering design method based on linear matrix inequalities (LMIs) is given to make the filtering error system stochastically admissible and [Formula: see text] dissipative. Finally, numerical simulations verify the effectiveness of the resulting method.

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H∞ Filtering for Network-Based Systems with Consecutive Packet Dropouts and Delayed Measurements

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.336-338.2381 ◽

2013 ◽

Vol 336-338 ◽

pp. 2381-2387

Author(s):

Jin Yu Wang ◽

Xiu Ying Li ◽

Lin Mao ◽

Jing Yan Xue ◽

Hua Meng

Keyword(s):

Sufficient Conditions ◽

Linear Matrix ◽

Packet Dropouts ◽

Transmission Delays ◽

Exponentially Stable ◽

One Step ◽

Error System ◽

The One ◽

Time Systems ◽

Mutually Independent

The filtering problem is studied for a class of discrete-time systems under the effect of the networks. The investigated issues involved by the network include the consecutive packet dropouts and the one-step transmission delays which can be described by a sequence of mutually independent Bernoulli distributed stochastic variables. A full-order filter is designed such that the filtering error system is exponentially stable in the mean square and the performance is also achieved. Sufficient conditions are developed for the addressed problem and the desired filter is derived by means of the feasibility of certain linear matrix inequality. Numerical example is given to illustrate the effectiveness of the proposed method.

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H∞Filter Design for Large-Scale Systems with Missing Measurements

Mathematical Problems in Engineering ◽

10.1155/2013/945705 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Ying Zhou ◽

Shuming Yang ◽

Qiang Zang

Keyword(s):

Large Scale ◽

Filter Design ◽

Sufficient Conditions ◽

Linear Matrix ◽

Matrix Inequality ◽

Mean Square ◽

Missing Measurements ◽

Large Scale Systems ◽

Error System ◽

Simulation Results

This paper is concerned withH∞filter design problem for large-scale systems with missing measurements. The occurrence of missing measurements is assumed to be a Bernoulli distributed sequence with known probability. The new full-dimensional filter is designed to make the filter error system exponentially mean-square stable and achieve a prescribedH∞performance. Sufficient conditions are derived in terms of linear matrix inequality (LMI) for the existence of the filter, and the parameters of filter are obtained by solving the LMI. Finally, the numerical simulation results illustrate the effectiveness of the proposed scheme.

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The Globally Asymptotic Stability of Reaction-Diffusion Cellular Neural Networks with Time Delays

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.34-35.2011 ◽

2010 ◽

Vol 34-35 ◽

pp. 2011-2015

Author(s):

Yi Ping Luo ◽

Yi Jia Cao

Keyword(s):

Asymptotic Stability ◽

Time Delays ◽

Sufficient Conditions ◽

Reaction Diffusion ◽

Cellular Neural Network ◽

Linear Matrix ◽

Matrix Inequality ◽

Globally Asymptotic Stability ◽

Stability Theorems ◽

The Mean

A new method is presented to investigate the globally asymptotic stability of reaction-diffusion cellular neural network with time-delays. The method is built on the mean Lyapunov function. We give some new sufficient conditions on time-dependent or time-independent to ensure globally asymptotic stability of the equilibrium point of the class of systems under the conditions of the active functions are continuous by employing linear matrix inequality (LMI). The results extend and improve the earlier works of other researchers. In additions, examples are given to show the application of the established stability theorems.

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Exponential stability and periodicity of memristor-based recurrent neural networks with time-varying delays

International Journal of Biomathematics ◽

10.1142/s1793524517500279 ◽

2017 ◽

Vol 10 (02) ◽

pp. 1750027 ◽

Cited By ~ 1

Author(s):

Wei Zhang ◽

Chuandong Li ◽

Tingwen Huang

Keyword(s):

Neural Networks ◽

Exponential Stability ◽

Sufficient Conditions ◽

Functional Approach ◽

Linear Matrix ◽

Time Varying ◽

Matrix Inequality ◽

Matrix Inequalities ◽

Inclusion Theory ◽

The Stability

In this paper, the stability and periodicity of memristor-based neural networks with time-varying delays are studied. Based on linear matrix inequalities, differential inclusion theory and by constructing proper Lyapunov functional approach and using linear matrix inequality, some sufficient conditions are obtained for the global exponential stability and periodic solutions of memristor-based neural networks. Finally, two illustrative examples are given to demonstrate the results.

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Fuzzy Stabilization for Nonlinear Discrete Ship Steering Stochastic Systems Subject to State Variance and Passivity Constraints

Mathematical Problems in Engineering ◽

10.1155/2014/598618 ◽

2014 ◽

Vol 2014 ◽

pp. 1-12 ◽

Cited By ~ 5

Author(s):

Wen-Jer Chang ◽

Bo-Jyun Huang ◽

Po-Hsun Chen

Keyword(s):

Linear Matrix Inequality ◽

Discrete Time ◽

Stochastic Systems ◽

Fuzzy Controller ◽

Controller Design ◽

Sufficient Conditions ◽

Control Technique ◽

Linear Matrix ◽

Matrix Inequality ◽

Ship Steering

For nonlinear discrete-time stochastic systems, a fuzzy controller design methodology is developed in this paper subject to state variance constraint and passivity constraint. According to fuzzy model based control technique, the nonlinear discrete-time stochastic systems considered in this paper are represented by the discrete-time Takagi-Sugeno fuzzy models with multiplicative noise. Employing Lyapunov stability theory, upper bound covariance control theory, and passivity theory, some sufficient conditions are derived to find parallel distributed compensation based fuzzy controllers. In order to solve these sufficient conditions, an iterative linear matrix inequality algorithm is applied based on the linear matrix inequality technique. Finally, the fuzzy stabilization problem for nonlinear discrete ship steering stochastic systems is investigated in the numerical example to illustrate the feasibility and validity of proposed fuzzy controller design method.

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Robust Observer Design for Switched Positive Linear System with Uncertainties

Abstract and Applied Analysis ◽

10.1155/2014/745906 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9 ◽

Cited By ~ 1

Author(s):

Yanke Zhong ◽

Tefang Chen

Keyword(s):

Linear System ◽

Linear Matrix Inequality ◽

Dwell Time ◽

Sufficient Conditions ◽

Average Dwell Time ◽

Observer Design ◽

Linear Matrix ◽

Matrix Inequality ◽

Robust Observer ◽

Slack Variable

This paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. By introducing an auxiliary slack variable, these sufficient conditions are transformed into LMI (linear matrix inequality). A numerical example is given to illustrate the validities of obtained results.

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Nonfragile H∞ Filter Design for Nonlinear Continuous-Time System with Interval Time-Varying Delay

Journal of Control Science and Engineering ◽

10.1155/2018/8198603 ◽

2018 ◽

Vol 2018 ◽

pp. 1-17

Author(s):

Zhongda Lu ◽

Guoliang Zhang ◽

Yi Sun ◽

Jie Sun ◽

Fangming Jin ◽

...

Keyword(s):

Continuous Time ◽

Filter Design ◽

Sufficient Conditions ◽

Linear Matrix ◽

Time Varying ◽

Decoupling Method ◽

Interval Time ◽

Time Varying Delay ◽

Error System ◽

Delay Dependent

This paper investigates nonfragile H∞ filter design for a class of continuous-time delayed Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delays. Filter parameters occur multiplicative gain variations according to the filter’s implementation, to handle this variations, a nonfragile H∞ filter is presented and a novel filtering error system is established. The nonfragile H∞ filter guarantees the filtering error system to be asymptotically stable and satisfies given H∞ performance index. By constructing a novel Lyapunov-Krasovskii function and using the linear matrix inequality (LMI), delay-dependent conditions are exploited to derive sufficient conditions for nonfragile designing H∞ filter. Using new matrix decoupling method to reduce the computational complexity, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, numerical examples are given to show the effectiveness of the proposed method.

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A DELAY-DEPENDENT APPROACH TO ROBUST TAKAGI–SUGENO FUZZY CONTROL OF UNCERTAIN RECURRENT NEURAL NETWORKS WITH MIXED INTERVAL TIME-VARYING DELAYS

Journal of Circuits System and Computers ◽

10.1142/s0218126611008080 ◽

2011 ◽

Vol 20 (08) ◽

pp. 1571-1589 ◽

Cited By ~ 1

Author(s):

K. H. TSENG ◽

J. S. H. TSAI ◽

C. Y. LU

Keyword(s):

Fuzzy Control ◽

Time Delays ◽

Sufficient Conditions ◽

Upper And Lower Bounds ◽

Linear Matrix ◽

Uncertain Parameters ◽

Time Varying ◽

Interval Time ◽

Delay Dependent ◽

Takagi Sugeno

This paper deals with the problem of globally delay-dependent robust stabilization for Takagi–Sugeno (T–S) fuzzy neural network with time delays and uncertain parameters. The time delays comprise discrete and distributed interval time-varying delays and the uncertain parameters are norm-bounded. Based on Lyapunov–Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions are derived for ensuring the exponential stability for the closed-loop fuzzy control system. An important feature of the result is that all the stability conditions are dependent on the upper and lower bounds of the delays, which is made possible by using the proposed techniques for achieving delay dependence. Another feature of the results lies in that involves fewer matrix variables. Two illustrative examples are exploited in order to illustrate the effectiveness of the proposed design methods.

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Comments on “Takagi–Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality”

Journal of Vibration and Control ◽

10.1177/1077546319889838 ◽

2019 ◽

Vol 26 (9-10) ◽

pp. 643-645

Author(s):

Xuefeng Zhang

Keyword(s):

Fuzzy Control ◽

Linear Matrix Inequality ◽

Fractional Order ◽

Wide Class ◽

Chaotic Systems ◽

Sufficient Conditions ◽

Linear Matrix ◽

Uncertain Parameters ◽

Matrix Inequality ◽

Takagi Sugeno

This article shows that sufficient conditions of Theorems 1–3 and the conclusions of Lemmas 1–2 for Takasi–Sugeno fuzzy model–based fractional order systems in the study “Takagi–Sugeno fuzzy control for a wide class of fractional order chaotic systems with uncertain parameters via linear matrix inequality” do not hold as asserted by the authors. The reason analysis is discussed in detail. Counterexamples are given to validate the conclusion.

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