Second-order sliding mode controller design with output constraint

Ding, Shihong; Park, Ju H.; Chen, Chih Chiang

doi:10.1016/j.automatica.2019.108704

Cited by 233 publications

(134 citation statements)

References 26 publications

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“…Then, there holds u p n (t) = v p n (t) + m (t), where (t) satisfies (t k ) = 0, (t k+1 ) = ±1 and | (t)| ≤ 1, ∀t ∈ [t k , t k+1 ). With this in mind, it can be deduced from (5) and (42) that Substituting (48) and (49) into (46), one haṡ…”

Section: Resultsmentioning

confidence: 99%

Fast finite‐time adaptive event‐triggered tracking for uncertain nonlinearsystems

Sun

Zhou

Liu

et al. 2020

Intl J Robust & Nonlinear

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This article investigates the fast finite-time adaptive tracking control via event-triggered mechanism for a class of high-order uncertain nonlinear systems. An adaptive tracking controller is constructed for the first time by utilizing a new fast finite-time performance function and a serial of transformations equipped with a barrier function and event-triggering rules, which guarantees that the tracking error is restricted in a time-varying prescribed region and converges to an arbitrarily small constant in a faster speed compared with some traditional finite-time control strategies. A remarkable feature of this article is to avoid Zeno phenomenon without taking a derivative with respect to the absolute value of the event-triggered error which may not be differentiable at some discrete points. Finally, a simulation example is provided to verify the feasibility and effectiveness of theoretical results.

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Section: Resultsmentioning

confidence: 99%

Fast finite‐time adaptive event‐triggered tracking for uncertain nonlinearsystems

Sun

Zhou

Liu

et al. 2020

Intl J Robust & Nonlinear

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show abstract

“…Simulation results are shown to illustrate the effectiveness of the proposed new control schemes. One current work can be further generalized to stochastic digital control of switched Buck, Boost, Buck-boost power converters based on stochastic theory [35], there are other further works to be considered such as fuzzy tracking control or second-order sliding mode control for switched power converters based on the methods in references [36]- [40].…”

Section: Discussionmentioning

confidence: 99%

PWM-Based Adaptive Trajectory Tracking of Switched Buck Power Converters

Zhang

2020

IEEE Access

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Based on pulse width modulation (PWM) technique, adaptive trajectory tracking of switched Buck power converters with parameter uncertainty is investigated in this paper. By the aid of the backstepping technique, an equivalent continuous adaptive tracking controller is designed to guarantee the asymptotic stability of the closed-loop error continuous system. For the switched Buck converter with unknown parameters, PWM-based adaptive tracking with the equivalent adaptive continuous control input is proposed such that the closed-loop error digital system is practically asymptotically stable, and the tracking error converges to an arbitrarily small neighborhood of the origin. Simulation results are shown to illustrate the effectiveness of the proposed new control schemes.

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“…The associate editor coordinating the review of this manuscript and approving it for publication was Shihong Ding . the adaptive control method. In [7], the second-order sliding mode controller is designed for the nonlinear system with output constraint, which is an effective method for manipulator systems. In the last few years, the manipulator control system has been a hot topic in the intelligent control field.…”

Section: Bymentioning

confidence: 99%

Robust Anti-Disturbance Coordinated Control for Multiple Manipulators

Yin

et al. 2020

IEEE Access

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In this paper, the anti-disturbance coordinated control is investigated for the multiple mobile manipulators with disturbances. Some disturbances are induced by the random white noise; the others are assumed to be described by an external system. These disturbances are rejected and attenuated based on the disturbance-observer-based-control (DOBC) method and the adaptive control approach. Subsequently, a robust adaptive antidisturbance coordinated control strategy is proposed for the multiple mobile manipulators based on the back-stepping control scheme. In accordance with Lyapunov stability theory and the stochastic control theory foundation, the tracking error systems are guaranteed to be exponentially practically stable in mean square. Finally, an example is used to verify the effectiveness of the presented control method.

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Second-order sliding mode controller design with output constraint

Cited by 233 publications

References 26 publications

Fast finite‐time adaptive event‐triggered tracking for uncertain nonlinearsystems

Fast finite‐time adaptive event‐triggered tracking for uncertain nonlinearsystems

PWM-Based Adaptive Trajectory Tracking of Switched Buck Power Converters

Robust Anti-Disturbance Coordinated Control for Multiple Manipulators

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