Robust Finite-Time Bounded Controller Design of Time-Delay Conic Nonlinear Systems Using Sliding Mode Control Strategy

He, Shuping; Song, Jun; Liu, Fei

doi:10.1109/tsmc.2017.2695483

Cited by 127 publications

(54 citation statements)

References 29 publications

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“…α = 0.10, δ = 0.005, µ = 0.5, δ = 0.10, and ∆ 1 = diag{0, 0}, ∆ 2 = diag{1, 1}. Solving LMIs (6)- (7) by the toolbox of MAT-LAB, we can obtain c 2 = 26.8320, and hence, the considered neutral system is finite-time bounded.…”

Section: Numerical Examplesmentioning

confidence: 99%

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Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Saravanan

Ali

Alsaedi

et al. 2020

NAMC

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In this paper, we investigated the problem of the finite-time boundedness and finitetime passivity for neural networks with time-varying delays. A triple, quadrable and five integral terms with the delay information are introduced in the new Lyapunov-Krasovskii functional (LKF). Based on the auxiliary integral inequality, Writinger integral inequality and Jensen's inequality, several sufficient conditions are derived. Finally, numerical examples are provided to verify the effectiveness of the proposed criterion. There results are compared with the existing results.

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Section: Numerical Examplesmentioning

confidence: 99%

“…At present, many researches have been extensively developed the area of finite-time stability for neural networks, see, for instance, [4][5][6][7]18,27,28]. Also, finite-time boundedness and stability results are investigated in [1,33,35].…”

Section: Introductionmentioning

confidence: 99%

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Saravanan

Ali

Alsaedi

et al. 2020

NAMC

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“…Currently, the issues on FT stability and FT boundedness have been extensively studied for many kinds of system models; see, e.g. [21][22][23][24][25][26][27][28][29][30] and the references therein. Taking into account the advantages of FT stability and H 2 /H ∞ control, the finite-time H 2 /H ∞ control problem is proposed in this paper, which not only guarantees FTB but also satisfies the H 2 /H ∞ performance indices.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time H₂/H_∞ Control for Linear Itô Stochastic Systems with (x, u, v)‐Dependent Noise

2018

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This paper deals with the problem of the H2/H∞ control based on finite-time boundedness for linear stochastic systems. The motivation for investigating this problem comes from one observation that the H2/H∞ control does not involve systems’ transient performance. To express this problem clearly, a concept called finite-time H2/H∞ control is introduced. Moreover, state feedback and observer-based finite-time H2/H∞ controllers are designed, which guarantee finite-time boundedness, H2 performance index, and H∞ performance index of the closed-loop systems. Furthermore, an optimization algorithm on the finite-time H2/H∞ control is presented to obtain the minimum values of the H2 index and H∞ index. Finally, we use an example to show the validity of the obtained results.

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“…The problems of finite-time stability and finite-time stabilisation for T-S fuzzy system with time-varying delay are investigated in [18]. The authors in [19] have designed a finite-time sliding mode controller for a class of conic-type nonlinear systems with time delays and mismatched external disturbances.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures

Sakthivel

Nithya

et al. 2018

Complexity

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In this study, the problem of finite-time nonfragile dissipative-based filter design for wireless sensor networks that is described by discrete-time systems with time-varying delay is investigated. Specifically, to reduce the energy consumption of wireless sensor networks, it is assumed that the signal is not transmitted at each instant and the transmission process is stochastic. By constructing a suitable Lyapunov-Krasovskii functional and employing discrete-time Jensen’s inequality, a new set of sufficient conditions is established in terms of linear matrix inequalities such that the augmented filtering system is stochastically finite-time bounded with a prescribed dissipative performance level. Meanwhile, the desired dissipative-based filter gain matrices can be determined by solving an optimization problem. Finally, two numerical examples are provided to illustrate the effectiveness and the less conservatism of the proposed filter design technique.

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Robust Finite-Time Bounded Controller Design of Time-Delay Conic Nonlinear Systems Using Sliding Mode Control Strategy

Cited by 127 publications

References 29 publications

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Finite‐Time H₂/H_∞ Control for Linear Itô Stochastic Systems with (x, u, v)‐Dependent Noise

Finite‐Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures

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Robust Finite-Time Bounded Controller Design of Time-Delay Conic Nonlinear Systems Using Sliding Mode Control Strategy

Cited by 127 publications

References 29 publications

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Finite-time passivity for neutral-type neural networks with time-varying delays – via auxiliary function-based integral inequalities

Finite‐Time H2/H∞ Control for Linear Itô Stochastic Systems with (x, u, v)‐Dependent Noise

Finite‐Time Nonfragile Dissipative Filter Design for Wireless Networked Systems with Sensor Failures

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Finite‐Time H₂/H_∞ Control for Linear Itô Stochastic Systems with (x, u, v)‐Dependent Noise