A Hybrid Proportional Impulsive Plus Integral Robust Control Algorithm for H∞ Stabilization

Chen, Hao; Liu, Xinzhi; Liu, Xingwen; Zhong, Shouming

doi:10.1109/tsmc.2018.2868069

Cited by 14 publications

(4 citation statements)

References 31 publications

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“…Correntropy, as a measure of local similarity that is insensitive to outliers and noise, has been successfully applied in fields such as pattern recognition [38], machine learning [39] and signal processing [40]. Correntropy [22,[41][42][43] can be expressed as follows…”

Section: Correntropymentioning

confidence: 99%

State of Charge Estimation of Lithium Battery Based on Improved Correntropy Extended Kalman Filter

Duan

Wang

et al. 2020

Energies

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State of charge (SOC) estimation plays a crucial role in battery management systems. Among all the existing SOC estimation approaches, the model-driven extended Kalman filter (EKF) has been widely utilized to estimate SOC due to its simple implementation and nonlinear property. However, the traditional EKF derived from the mean square error (MSE) loss is sensitive to non-Gaussian noise which especially exists in practice, thus the SOC estimation based on the traditional EKF may result in undesirable performance. Hence, a novel robust EKF method with correntropy loss is employed to perform SOC estimation to improve the accuracy under non-Gaussian environments firstly. Secondly, a novel robust EKF, called C-WLS-EKF, is developed by combining the advantages of correntropy and weighted least squares (WLS) to improve the digital stability of the correntropy EKF (C-EKF). In addition, the convergence of the proposed algorithm is verified by the Cramér–Rao low bound. Finally, a C-WLS-EKF method based on an equivalent circuit model is designed to perform SOC estimation. The experiment results clarify that the SOC estimation error in terms of the MSE via the proposed C-WLS-EKF method can efficiently be reduced from 1.361% to 0.512% under non-Gaussian noise conditions.

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Section: Correntropymentioning

confidence: 99%

State of Charge Estimation of Lithium Battery Based on Improved Correntropy Extended Kalman Filter

Duan

Wang

et al. 2020

Energies

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“…By our Theorem 2, we can make use ofx(t k ) = H 0x (t − k ) + H 1x (t − k −τ ) to exponentially stabilize system (29). By choosing ρ 1 = 0.02, ρ 2 = 0.03, q = 3, we can get LV (t,x(t), i) ≤ −0.2958x(t) 2 + 0.3544x(t − τ ) 2 = (−0, 2958 + 0.3544q)x(t) 2 = b(t)x(t) 2 , where b(t) ≡b = 0.7674. Then take H 0 = 0.08, H 1 = 0.002, τ = 2, δ = sup k∈Z + {t k − t k−1 } = 0.85, From Theorem 2, we can easily prove that system (29) is mean square exponentially stable and the corresponding numerical simulation is given in Figure (b).…”

Section: Two Examplesmentioning

confidence: 99%

Stability Analysis of Stochastic Nonlinear Systems With Delayed Impulses and Markovian Switching

Zhu

2019

IEEE Access

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In this paper, we are concerned with the stability analysis of stochastic nonlinear systems with delayed impulses and Markovian switching. Different from the previous literature, the impulses in this paper depend on delays and the jumping parameters are described by a continuous-time Markov chain with a finite-state space. Several novel stability criteria are obtained by using a stochastic Lyapunov function method and the Razumikhin technique. To be less conservative, the Razumikhin condition imposed on the coefficient of the estimated upper bound for the Lyapunov function's time-derivative is improved from a constant to a function, which can be either positive or negative. Finally, we use two examples and their simulations to verify the validity of the theory results.INDEX TERMS ISFDEs, Markovian switching, delayed impulse, pth moment exponential stability, almost exponential stability.

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“…Notably, the authors have proposed a hybrid scheme utilizing proportional impulsive and integral mechanism for a family of matched uncertain systems. 18 In addition, a robust nonlinear integral scheme has been developed in Ref. 19 for parametric uncertain systems.…”

Section: Introductionmentioning

confidence: 99%

“…17 for uncertain nonlinear systems, only matched modeling uncertainties has been considered. Notably, the authors have proposed a hybrid scheme utilizing proportional impulsive and integral mechanism for a family of matched uncertain systems 18 . In addition, a robust nonlinear integral scheme has been developed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic tracking with novel integral robust schemes for mismatched uncertain nonlinear systems

Yang

2022

Intl J Robust & Nonlinear

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Motivated by the desire to extend the well‐known robust integral of the sign of the error (RISE) feedback control to handle both matched and mismatched disturbances simultaneously, two novel continuous integral robust control algorithms with asymptotic tracking performance will be constructed for a class of high‐order uncertain nonlinear systems. By skillfully introducing a set of filtered error variables and asymptotic filters as well as an auxiliary system, they will be integrated via an improved backstepping framework. Significantly, the virtual control law integrated at each procedure will pass through a novel asymptotic filter and then the filtered signal will be adopted in the subsequent backstepping iteration. Notably, one of the control algorithms is constructed via the integral of the sign of the filtered error variable introduced at each step, which makes it incalculable due to the unmeasurable states. In order to implement this controller, two measures for calculating the sign function in terms of the filtered error variable will be expounded. More importantly, the stability of the closed‐loop system under each controller will be strictly proved and meanwhile application examples will be performed to demonstrate the theoretical results.

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A Hybrid Proportional Impulsive Plus Integral Robust Control Algorithm for H∞ Stabilization

Cited by 14 publications

References 31 publications

State of Charge Estimation of Lithium Battery Based on Improved Correntropy Extended Kalman Filter

State of Charge Estimation of Lithium Battery Based on Improved Correntropy Extended Kalman Filter

Stability Analysis of Stochastic Nonlinear Systems With Delayed Impulses and Markovian Switching

Asymptotic tracking with novel integral robust schemes for mismatched uncertain nonlinear systems

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