Recent Advances in Nonsingular Terminal Sliding Mode Control Method

Li, Shengbo Eben; Deng, Kun

doi:10.1007/978-3-642-36385-6_4

Cited by 4 publications

(4 citation statements)

References 18 publications

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“…The sliding mode and the control input are shown in Figures 4 and 5. Furthermore, the convergence time of the closed-loop system calculated from the theoretical equations (17) and (28) is = 0.876 s. From Figures 2-4, it is clear to conclude that all the signals of the closedloop system are convergent to zero within 0.876 s, which validate the correctness of the control scheme. Figure 5 shows that the control input is bounded and convergent.…”

Section: Without Considering Input Saturation For Surface Vesselmentioning

confidence: 55%

“…In [16], a fast nonsingular terminal sliding mode (FNTSM) was developed for piezoelectric actuators, which can avoid chatter problems. In [17], a terminal attractor with nonnegative exponential coefficient was introduced to generate a continuous FNTSM algorithm. In [18,19], double exponential reaching law with variable coefficient was combined with FNTSM manifold to improve the convergence rate during reaching and sliding phase.…”

Section: Introductionmentioning

confidence: 99%

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Finite‐Time Tracking Control for a Class of MIMO Nonlinear Systems with Unknown Asymmetric Saturations

2017

Mathematical Problems in Engineering

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This paper addresses the problem of finite-time tracking control for multiple-input and multiple-output (MIMO) nonlinear systems with asymmetric saturations. A systematic approach is proposed to eliminate the effects of unmeasured external disturbances and unknown asymmetric saturations. In the proposed control strategy, a terminal sliding mode disturbance observer is provided to estimate the augmented disturbance (which contains the unknown asymmetric input saturation and external disturbance). The approximation error of the augmented disturbance can converge to zero in a fixed finite-time interval. Furthermore, a novel finitetime tracking control algorithm is developed to guarantee fast convergence of the tracking error. Compared with the existing results on finite-time tracking control, the chattering problem and the input saturation problem can be solved in a unified framework. Several simulations are given to demonstrate the effectiveness of the proposed approach.

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Section: Without Considering Input Saturation For Surface Vesselmentioning

confidence: 55%

Section: Introductionmentioning

confidence: 99%

Finite‐Time Tracking Control for a Class of MIMO Nonlinear Systems with Unknown Asymmetric Saturations

2017

Mathematical Problems in Engineering

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“…Secondly, by using the fast terminal function (FTF), the form of the proposed sliding surface [23] is:…”

Section: Dynamic Control Using Terminal Functionmentioning

confidence: 99%

“…The second section consists to propose a kinematic controller based on PD terminal sliding mode control with fuzzy logic. The third section presents a new dynamic controller using fast terminal function (FTF) with genetic algorithm [23] into the sliding surface design by including a saturation function in order to reduce the chattering problem by taking into account the disturbances.…”

Section: Introductionmentioning

confidence: 99%

PD Terminal Sliding Mode Control Using Fuzzy Genetic Algorithm for Mobile Robot in Presence of Disturbances

Benaziza¹,

Mallem²,

Slimane³

2018

JAMRIS

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This paper presents a new approach in the field of trajectory tracking for nonholonomic mobile robot in presence of disturbances. The proposed control design is constructed by a kinematic controller, based on PD sliding surface using fuzzy sliding mode for the angular and linear velocities disturbances, in order to tend asymptotically the robot posture error to zero. Thereafter a dynamic controller is presented using as a sliding surface design, a fast terminal function (FTF) whose parameters are generated by a genetic algorithm in order to converge the velocity errors to zero in finite time and guarantee the asymptotic stability of the system using a Lyapunov candidate. The elaborated simulation works in the case of different trajectories confirm the robustness of the proposed approach.

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Nonsingular terminal sliding-mode control of a tractor–trailer system

Binazadeh

Shafiei

2014

Systems Science & Control Engineering

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Recent Advances in Nonsingular Terminal Sliding Mode Control Method

Cited by 4 publications

References 18 publications

Finite‐Time Tracking Control for a Class of MIMO Nonlinear Systems with Unknown Asymmetric Saturations

Finite‐Time Tracking Control for a Class of MIMO Nonlinear Systems with Unknown Asymmetric Saturations

PD Terminal Sliding Mode Control Using Fuzzy Genetic Algorithm for Mobile Robot in Presence of Disturbances

Nonsingular terminal sliding-mode control of a tractor–trailer system

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