Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts

Cai, Xiao; Zhong, Shouming; Wang, Jun; Shi, Kaibo

doi:10.1016/j.amc.2020.125432

Cited by 70 publications

(38 citation statements)

References 39 publications

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“…As calculated in Eq. (25), if the measured output m k is an outlier, the weight x k should be a very small value which is close to zero. Then the negative effect of the outliers imposed on parameter estimation is suppressed.…”

Section: B Mathematical Derivations In the Em Algorithm Scheme 1) E-mentioning

confidence: 99%

“…This paper considers the robust identification of LPV models with time-varying system delays. For the practical systems, the system delay is a common factor between the system variables and it can greatly affect the system modelling [24], [25]. In [24], the stability analysis of delayed neural networks (DNNs) was introduced and a new stability criteria was proposed with data packet dropouts.…”

Section: Introductionmentioning

confidence: 99%

“…In [24], the stability analysis of delayed neural networks (DNNs) was introduced and a new stability criteria was proposed with data packet dropouts. Moreover, the time-delay was also considered in robust controller design of T-S fuzzy systems [25]. It is well-known that the resulted system models may fail to describe the system dynamics if the system delay is ignored.…”

Section: Introductionmentioning

confidence: 99%

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Identification of LPV Systems in the Presence of Outliers and Time-Varying Delays

Liu

2020

IEEE Access

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In this paper, the enumeration method and the expectation maximization (EM) algorithm are combined for the identification of linear parameter varying (LPV) systems with unknown time-varying system delays. The unknown system delays are addressed as the latent variables which are assumed to be uniformly distributed in the possible value range. At each sampling instant, by using the basic idea of the enumeration method, the unknown delay is estimated by maximizing its posterior distribution function (PDF). Moreover, the problem of outliers is also considered in the identification procedure and the robust t-distribution instead of the common Gaussian distribution is used to handle the data abnormality. All the equations to estimate the unknown parameters and the delays are all derived by using the EM algorithm. The validity and robustness of the proposed approach are demonstrated by using several simulation examples.

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Section: B Mathematical Derivations In the Em Algorithm Scheme 1) E-mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Identification of LPV Systems in the Presence of Outliers and Time-Varying Delays

Liu

2020

IEEE Access

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“…Meanwhile, time delays are very common because of communication between controllers and actuators and the processing speed for the controllers and actuators, especially the sampling delay, which may degrade the system performance, such as oscillatory behavior, divergence and system instability. Therefore, in order to effectively solve this problem, researches on delayed systems have attracted much attention in recent decades [26]- [28]. Reference [26] developed an improved time-delay interval segmentation method to construct a more general Lyapunov-Krasovskii functional (LKF) with relaxed conditions, which fully considers information concerning time delays and the derivative information of both states and time delays.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, in order to effectively solve this problem, researches on delayed systems have attracted much attention in recent decades [26]- [28]. Reference [26] developed an improved time-delay interval segmentation method to construct a more general Lyapunov-Krasovskii functional (LKF) with relaxed conditions, which fully considers information concerning time delays and the derivative information of both states and time delays. In [27], [28], the suitable LKFs were established and several newly control algorithms were presented in order to better study the delayed systems.…”

Section: Introductionmentioning

confidence: 99%

New Optimal Control Algorithms for Battery-Supercapacitor HESS Based on Wirtinger-Based Integral Inequality

et al. 2021

Self Cite

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This paper focuses on the design of new optimal control algorithms for battery-supercapacitor hybrid energy storage system (HESS) with input saturation and time delay. Different from the existing research results, a new state feedback system to track the output DC bus voltage and battery current is developed via the state-space averaged model method. By fully considering the state delay information, a proper Lyapunov-Krasovskii functional (LKF) is constructed. In order to reduce the inherent conservation, Wirtinger-based integral inequality is firstly employed to establish novel stability criteria of batterysupercapacitor HESS. Meanwhile, for the sake of shortening the transition time and realizing the smooth transition of some key variables during the load switch, new optimal control algorithms with actuator saturation can be achieved in terms of linear matrix inequalities (LMIs). Finally, numerical results are presented to verify the effectiveness and superiority of the analysis results. INDEX TERMS Hybrid energy storage system; New optimal control algorithms; Lyapunov-Krasovskii functional; Wirtinger-based integral inequality; Actuator saturation.

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Asynchronous event‐triggered finite‐time control for networked switched T‐S fuzzy systems

Gao

Shi

Zhang

et al. 2021

Math Methods in App Sciences

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This paper considers the finite‐time guaranteed cost control problem for networked switched T‐S fuzzy systems. The event‐triggered scheme (ETS) and the quantization technique is employed to reduce the data transmission. T‐S fuzzy model is adopted to describe the nonlinear switched systems. Through calculation, sufficient criteria are established to verify the finite‐time boundedness of the closed‐loop system and estimate the performance index of the given cost function. In the end, a numerical example showed the efficiency of the technique.

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Robust H∞ control for uncertain delayed T-S fuzzy systems with stochastic packet dropouts

Cited by 70 publications

References 39 publications

Identification of LPV Systems in the Presence of Outliers and Time-Varying Delays

Identification of LPV Systems in the Presence of Outliers and Time-Varying Delays

New Optimal Control Algorithms for Battery-Supercapacitor HESS Based on Wirtinger-Based Integral Inequality

Asynchronous event‐triggered finite‐time control for networked switched T‐S fuzzy systems

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