Hybrid-driven<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e263" altimg="si69.gif"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math>filter design for T–S fuzzy systems with quantization

Liu, Jinliang; Lili, Walim; Cao, Jie; Fei, Shumin

doi:10.1016/j.nahs.2018.08.007

Cited by 42 publications

(20 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…- (36) imply that (15) and (16) hold, and (9) and (10) imply that (17) holds. Meanwhile, (31) and (39) are equal to (12) and (18), respectively.…”

Section: -Gain Filter Designmentioning

confidence: 99%

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

et al. 2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary In this paper, the L1 filtering problem is studied for continuous‐time switched positive linear systems (SPLSs) with a small delay existing in the switching of the filter and the subsystem. Unlike the existing literature concerned with asynchronous problems of SPLSs, the synchronous and asynchronous filters will be designed separately, which implies less conservative results. By introducing a class of clock‐dependent Lyapunov function (CDLF), which jumps down when the modes of the filter or the subsystem change and may increase or decrease during the asynchronous interval, clock‐dependent sufficient conditions characterizing a nonweighted L1‐gain performance of the filter error systems are established. Then, based on the L1 analysis results, a pair of error‐bounding filters are designed to estimate the outputs of SPLSs. The filter gains can be obtained by solving a set of linear programming. Finally, two numerical examples are presented to show the effectiveness and advantages of the results.

show abstract

“…- (36) imply that (15) and (16) hold, and (9) and (10) imply that (17) holds. Meanwhile, (31) and (39) are equal to (12) and (18), respectively.…”

Section: -Gain Filter Designmentioning

confidence: 99%

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

et al. 2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…Literatures [27], [28], [29] take into account the design of fault detection filters for NCSs in complex network environments. In [30], [31], the H ∞ filtering for fuzzy system with quantization is discussed.…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered H_∞ Filtering for Networked Systems Under Hybrid Probability Deception Attacks

Deng

et al. 2020

IEEE Access

View full text Add to dashboard Cite

In this paper, the deception attacks are the research object, which are widely concerned in cyber attacks, and the feasibility of H ∞ filtering for networked system based on event-triggered mechanism (ETM) is discussed. Firstly, in order to avoid waste of limited bandwidth, the ETM are introduced. At the same time, considering the impact of two types of different deception attacks, we introduce respectively two sets of random variables satisfying the Bernoulli distribution to depict the probability of the data transmitted by the network being subjected to deception attacks and the switching law of two types of deception attacks. Furthermore, a function model in accordance with the above situation is established. Then, by using Lyapunov-Krasovskii functional (LKF) and linear matrix inequalities (LMIs) techniques, the stability criterion of the established system model and the display expression of filter parameters are obtained. For the single integral terms in the derivative of LKF, we utilize Jensen's Inequality and reciprocally convex combination lemma (RCCL) to process them. Finally, the feasibility of the proposed method is verified by a simulation example. INDEX TERMS H ∞ filter design, event-triggered mechanism, deception attack, Lyapunov-Krasovskii functional.

show abstract

“…During the decades, event‐triggered control has become a hot topic in various research areas, such as H ∞ filter design, interconnected systems, neural networks, network control systems (NCSs), etc. As an efficient way of reducing data transmission and decreasing the energy consumption, the idea of an event‐triggered scheme (ETS) was first proposed by Tabuada, where the problem of real‐time scheduling stabilizing control was revisited from the angle of input‐to‐state stability.…”

Section: Introductionmentioning

confidence: 99%

“…In practice, the Bernoulli random variable can also characterize the random occurring feature of deception attacks . Moreover, recently, a novel kind of a hybrid ETS based on the Bernoulli process was proposed by Liu et al As far as we know, no results are available on stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties, which motivate us greatly to investigate.…”

Section: Introductionmentioning

confidence: 99%

“…[18][19][20] In practice, the Bernoulli random variable can also characterize the random occurring feature of deception attacks. 7,21,22 Moreover, recently, a novel kind of a hybrid ETS based on the Bernoulli process was proposed by Liu et al 2,22 As far as we know, no results are available on stabilization for networked semi-Markovian jump systems with randomly occurring uncertainties, which motivate us greatly to investigate.Motivated by the aforementioned works and the need to fill the gaps, H ∞ stabilization for networked semi-Markovian jump systems subject to randomly occurring uncertainties via an event-triggered method is studied in this paper. Through a delay system method, it can be converted to the problem of stabilization for stochastic uncertain semi-Markovian jump systems.…”

mentioning

confidence: 99%

See 1 more Smart Citation

H_∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

2019

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the mean value of both current data and latest transmitted data is introduced into the event‐triggered condition. Compared with traditional dynamic event‐triggered scheme, more unexpected data could be avoided to be transmitted, which is demonstrated in the simulation through sufficient comparison experiments. Furthermore, by employing a Lyapunov‐Krasovskii functional method and a free‐weighting matrix method, sufficient conditions are derived to guarantee the stabilization of the closed‐loop semi‐Markovian jump time‐delay system with uncertainties and a prescribed performance index. Then, a codesign method for H∞ controller gains and event‐triggered parameters is presented. Finally, simulations are given to verify the effectiveness of our improved dynamic event‐triggered scheme.

show abstract

Hybrid-drivenH∞filter design for T–S fuzzy systems with quantization

Cited by 42 publications

References 40 publications

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

Event-Triggered H_∞ Filtering for Networked Systems Under Hybrid Probability Deception Attacks

H_∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

Contact Info

Product

Resources

About

Hybrid-drivenH∞filter design for T–S fuzzy systems with quantization

Cited by 42 publications

References 40 publications

A novel approach to L1 filter design for asynchronously switched positive linear systems with dwell time

A novel approach to L1 filter design for asynchronously switched positive linear systems with dwell time

Event-Triggered H∞ Filtering for Networked Systems Under Hybrid Probability Deception Attacks

H∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme

Contact Info

Product

Resources

About

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

A novel approach to L₁ filter design for asynchronously switched positive linear systems with dwell time

Event-Triggered H_∞ Filtering for Networked Systems Under Hybrid Probability Deception Attacks

H_∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme