Stability Analysis for Time-delay Systems with Nonlinear Disturbances via New Generalized Integral Inequalities

Wu, Bin; Wang, Changlong; Hu, Yong-Jiang; Ma, Xiaolin

doi:10.1007/s12555-018-0266-8

Cited by 8 publications

(6 citation statements)

References 34 publications

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“…where f (z) verifies the condition (26). In this case, the frequential condition ( 38) is verified for A * + µ ζ(Q) I, where µ, ζ, Q are defined in Section 2.2.2.…”

Section: Time Delay Fractional Order Linear Systems (Tdfols)mentioning

confidence: 74%

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Control Techniques for a Class of Fractional Order Systems

et al. 2021

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The paper discusses several control techniques for a class of systems described by fractional order equations. The paper presents the unit frequency criteria that ensure the closed loop control for: Fractional Order Linear Systems, Fractional Order Linear Systems with nonlinear components, Time Delay Fractional Order Linear Systems, Time Delay Fractional Order Linear Systems with nonlinear components. The stability criterion is proposed for the systems composed of fractional order subsystems. These techniques are used in two applications: Soft Exoskeleton Glove Control, studied as a nonlinear model with time delay and Disabled Man-Wheelchair model, analysed as a fractional-order multi-system.

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“…where f (z) verifies the condition (26). In this case, the frequential condition ( 38) is verified for A * + µ ζ(Q) I, where µ, ζ, Q are defined in Section 2.2.2.…”

Section: Time Delay Fractional Order Linear Systems (Tdfols)mentioning

confidence: 74%

“…Other control and stability issues refer to delayed FOS models. Stability criteria are formulated in the form of algebraic criteria [22][23][24] or are derived by analytical techniques derived from the Lyapunov method [25][26][27][28]. The control of multi-system architectures defined by FOS models is discussed in [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Control Techniques for a Class of Fractional Order Systems

et al. 2021

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“…It can be found that Theorem 1 enhances the feasible region of stability criteria, which shows that the proposed criterion is indeed less conservative. By setting Table 2 shows the comparison on maximum delay bounds when μ is 0.4, 0.45, 0.5 and 0.55, it can be seen that the maximum delay bounds obtained by our results are much larger than those of (Feng et al, 2019;Hua et al, 2019;Lee et al, 2018;Wu et al, 2018;Zhang et al, 2017). 5.4428 3.6482 Hua et al (2019) 5.5098 3.7098 Feng et al (2019) 6.7186 3.7098 Theorem 1 6.9834 3.7412 The state trajectories of the delayed NNs with h = 32.6955, μ = 0.4 are shown in Figure 2…”

Section: Numerical Simulationsmentioning

confidence: 79%

“…In the research of stability of NNs, how to construct the appropriate LKF has attracted considerable attention. In recent years, different methods of constructing LKF have been proposed for delayed NNs, for example, s-dependent LKF , double integral LKF (Hua et al, 2019), triple integral LKF (Wu et al, 2018;, multiple integral LKF (Ding et al, 2016), delay-partitioning LKF (Chen et al, 2016), and discrete LKF (Chen et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Stability analysis for delayed neural networks based on a generalized free-weighting matrix integral inequality

Zhao

Qian

2020

Systems Science & Control Engineering

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“…For the anti-saturation adaptive backstepping controller design, based on the Lyapunov stability theorem, the stability analysis of the control system is carried out (Wu et al, 2018).…”

Section: Stability Analysismentioning

confidence: 99%

Prescribed performance trajectory tracking control of dynamic positioning ship under input saturation

Wang

2020

Transactions of the Institute of Measurement and Control

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This paper investigates concentrates on the trajectory tracking control problem of dynamic positioning (DP) ship, in the presence of the time-varying disturbance and input saturation. Firstly, a simplified mathematical model of three degrees of freedom is established. According to the characteristics of the DP ship, an adaptive backstepping controller which combine the prescribed performance function with disturbance observer is proposed. The control scheme can guarantee the transient and steady state performance of the trajectory tracking and meet the prescribed performance criteria. In addition, an auxiliary dynamic system is introduced into the controller to deal with the input saturation problem of the actuator, so that the DP ship can accomplish the task of trajectory tracking under the condition of actuator constraint. Subsequently, in combination of barrier Lyapunov function (BLF), it is proved that the DP system can stabilize and converge rapidly to the small neighborhood of the equilibrium point, which can achieve the prescribed performance. Finally, the effectiveness of the DP control law is demonstrated by a series of simulation experiments.

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Stability Analysis for Time-delay Systems with Nonlinear Disturbances via New Generalized Integral Inequalities

Cited by 8 publications

References 34 publications

Control Techniques for a Class of Fractional Order Systems

Control Techniques for a Class of Fractional Order Systems

Stability analysis for delayed neural networks based on a generalized free-weighting matrix integral inequality

Prescribed performance trajectory tracking control of dynamic positioning ship under input saturation

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