Dissipative Filter Design for Nonlinear Time-Varying-Delay Singular Systems against Deception Attacks

This paper applies a T-S fuzzy model to depict a class of nonlinear time-varying-delay singular systems and investigates the dissipative filtering problem for these systems under deception attacks. The measurement output is assumed to encounter random deception attacks during signal transmission, and a Bernoulli distribution is used to describe this random phenomena. In this case, the filtering error system modeled by a stochastic singular T-S fuzzy system is established and stochastic admissibility for this kind of system is defined firstly. Then, by combining some integral inequalities and using the Lyapunov–Krasovskii functional approach, sufficient delay-dependent conditions are presented based on linear matrix inequality techniques, where the system of filtering error can be stochastically admissible and strictly ℚ , S , ℝ -dissipative against randomly occurring deception attacks. Moreover, parameters of the desired filter can be obtained via the solutions of the established conditions. The validity of our work is illustrated through a mostly used example of the nonlinear system.

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Robust Fault Estimation for a Class of T-S Fuzzy Singular Systems with Time-Varying Delay via Improved Delay Partitioning Approach

Journal of Control Science and Engineering ◽

10.1155/2016/6305901 ◽

2016 ◽

Vol 2016 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Chao Sun ◽

FuLi Wang ◽

XiQin He

Keyword(s):

Singular Systems ◽

Singular System ◽

Fault Estimation ◽

Linear Matrix ◽

Time Varying ◽

Time Varying Delay ◽

System A ◽

Delay Dependent ◽

Takagi Sugeno ◽

Varying Delay

The problem of delay-dependent robust fault estimation for a class of Takagi-Sugeno (T-S) fuzzy singular systems is investigated. By decomposing the delay interval into two unequal subintervals and with a new and tighter integral inequality transformation, an improved delay-dependent stability criterion is given in terms of linear matrix inequalities (LMIs) to guarantee that the fuzzy singular system with time-varying delay is regular, impulse-free, and stable firstly. Then, based on this criterion, by considering the system fault as an auxiliary disturbance vector and constructing an appropriate fuzzy augmented system, a fault estimation observer is designed to ensure that the error dynamic system is regular, impulse-free, and robustly stable with a prescribedH∞performance satisfied for all actuator and sensor faults simultaneously, and the obtained fault estimates can practically better depict the size and shape of the faults. Finally, numerical examples are given to show the effectiveness of the proposed approach.

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Delay-Dependent Stability Criteria for Singular Systems with Interval Time-Varying Delay

Mathematical Problems in Engineering ◽

10.1155/2012/570834 ◽

2012 ◽

Vol 2012 ◽

pp. 1-16 ◽

Cited By ~ 7

Author(s):

Jianmin Jiao

Keyword(s):

Singular Systems ◽

Linear Matrix ◽

Time Varying ◽

Stability Criteria ◽

Interval Time ◽

Time Varying Delay ◽

Decision Variables ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Varying Delay

This paper is concerned with stability analysis for singular systems with interval time-varying delay. By constructing a novel Lyapunov functional combined with reciprocally convex approach and linear matrix inequality (LMI) technique, improved delay-dependent stability criteria for the considered systems to be regular, impulse free, and stable are established. The developed results have advantages over some previous ones as they involve fewer decision variables yet less conservatism. Numerical examples are provided to demonstrate the effectiveness of the proposed stability results.

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Improved Stability Criteria of Static Recurrent Neural Networks with a Time-Varying Delay

The Scientific World JOURNAL ◽

10.1155/2014/391282 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 2

Author(s):

Lei Ding ◽

Hong-Bing Zeng ◽

Wei Wang ◽

Fei Yu

Keyword(s):

Neural Networks ◽

Recurrent Neural Networks ◽

Linear Matrix ◽

Time Varying ◽

Time Varying Delay ◽

Improved Stability ◽

The Stability ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Varying Delay

This paper investigates the stability of static recurrent neural networks (SRNNs) with a time-varying delay. Based on the complete delay-decomposing approach and quadratic separation framework, a novel Lyapunov-Krasovskii functional is constructed. By employing a reciprocally convex technique to consider the relationship between the time-varying delay and its varying interval, some improved delay-dependent stability conditions are presented in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the merits and the effectiveness of the proposed methods.

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Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components

Journal of Applied Mathematics ◽

10.1155/2012/689820 ◽

2012 ◽

Vol 2012 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Tiejun Li ◽

Junkang Tian

Keyword(s):

Stability Criterion ◽

Convex Polyhedron ◽

Linear Matrix ◽

Continuous Systems ◽

Time Varying ◽

Time Varying Delay ◽

Polyhedron Method ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Varying Delay

This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

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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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H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

Mathematical Problems in Engineering ◽

10.1155/2014/618046 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9 ◽

Cited By ~ 1

Author(s):

Cheng Gong ◽

Yi Zeng

Keyword(s):

Time Delay ◽

Filter Design ◽

Singular Systems ◽

Fuzzy Model ◽

Disturbance Attenuation ◽

Linear Matrix ◽

Markov Jump ◽

Markov Jump Systems ◽

Delay Dependent ◽

Jump Systems

This paper investigates theH∞filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition onH∞-disturbance attenuation is presented, in which both stability and prescribedH∞performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependentH∞filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

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New Delay-Dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-Varying Delays

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.461.633 ◽

2012 ◽

Vol 461 ◽

pp. 633-636

Author(s):

Cheng Wang

Keyword(s):

Robust Stability ◽

Stability Criterion ◽

Stochastic Systems ◽

Linear Matrix ◽

Time Varying ◽

Time Varying Delay ◽

Weighting Matrix ◽

Delay Dependent ◽

Delay Dependent Stability ◽

Varying Delay

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

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