Fixed-time sliding mode attitude tracking control for a submarine-launched missile with multiple disturbances

Zhang, Liang; Wei, Changzhu; Liang, Jing; Cui, Naigang

doi:10.1007/s11071-018-4341-8

Cited by 43 publications

(24 citation statements)

References 37 publications

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“…For system (18), simulation examples will be presented in this section, and two cases are considered. In the first case, simulation results will be given to show the effectiveness of the proposed fixed-time control laws ( 23) and (27). In the second case, under different initial condition, we will compare the convergent performance between fixed-time control laws ( 23) and ( 27) and finite-time controllers (52).…”

Section: Simulation Resultsmentioning

confidence: 99%

Fixed-Time Trajectory Tracking Control for Nonholonomic Mobile Robot Based on Visual Servoing

Meiying

Sun

Zhang³

et al. 2021

Preprint

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This paper aims to discuss fixed-time tracking control problem for a nonholonomic wheeled mobile robot based on visual servoing. At first, by making use of the pinhole camera model, the robot system model with uncalibrated camera parameters is given. Then, the tracking error system between the mobile robot and desired trajectory is proposed. Thirdly, on the basis of fixed-time control theory and Lyapunov stability analysis, fixed-time tracking control laws are proposed for the robot, which can make the robot achieve the desired value in a fixed time. Simulation results are given at the end.

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Section: Simulation Resultsmentioning

confidence: 99%

Fixed-Time Trajectory Tracking Control for Nonholonomic Mobile Robot Based on Visual Servoing

Meiying

Sun

Zhang³

et al. 2021

Preprint

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“…en, the origin of system (12) has predefined-time stability, with predefined time T c . □ Lemma 3 (see [46]). For any y i ∈ R, i � 1, 2, .…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 97%

“…Lemma 4 (see [46]). If η ∈ R + and η > 1, for any x, y ∈ R, there exists |x + y| η ≤ 2 η− 1 |x η + y η |.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Liang

Wei

Zhang

et al. 2021

Mathematical Problems in Engineering

Self Cite

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To intercept the maneuvering target through multimissile cooperation, predefined-time cooperative guidance (PTCG) law is presented with constraints including the impact time and the line-of-sight (LOS) angle. In order to achieve simultaneous interception, we propose a PTCG law in the LOS direction based on a predefined-time consensus protocol, which guarantees the achievement of consensus on each missile’s impact time within the predefined time. Furthermore, to ensure the predefined-time convergence of the LOS angle and the predefined-time convergence of the LOS angular rate, a PTCG law with a fixed-time disturbance observer (FxTDO) is presented in the normal direction of the LOS. Compared with the traditional finite-time or fixed-time cooperative guidance laws, the proposed PTCG law predefines the upper bound of the settling time as an explicit parameter. Finally, the simulation results of the PTCG law verify the efficiency of the proposed method.

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“…A fixed-time sliding mode manifold was proposed [28], and the convergence time of the sliding mode manifold is shown to be independent of the initial conditions of the control system. In [29], a nonsingular fixed-time fast terminal sliding mode manifold with fixed-time convergence was presented, and the preestablished convergence time is also developed; unfortunately, the control law designed is discontinuous.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fixed‐Time Trajectory Tracking Control for Underactuated Hovercraft with Prescribed Performance in the Presence of Model Uncertainties

Zhang

Ding

et al. 2021

Complexity

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This paper develops an adaptive fixed-time trajectory tracking controller of an underactuated hovercraft with a prescribed performance in the presence of model uncertainties and unknown time-varying environment disturbances. It is the first time that the proposed method is applied to the motion control of the hovercraft. To begin with, based on the hovercraft's four degrees of freedom (DOF) model, the virtual control laws are designed using an error transforming function and the fixed-time stability theory to guarantee that the position tracking errors are constrained within the prescribed convergence rates and minimum overshoot. In addition, by combining the Lyapunov direct method and the adaptive radial basis function neural network (ARBFNN), the actual control laws are designed to ensure that the velocity tracking errors converge to a small region containing zero while handling model uncertainties and external disturbances effectively. Finally, all tracking errors of the closed-loop system are uniformly ultimately bounded and fixed-time convergent. Results from a comparative simulation study verify the effectiveness and advantage of the proposed method.

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Fixed-time sliding mode attitude tracking control for a submarine-launched missile with multiple disturbances

Cited by 43 publications

References 37 publications

Fixed-Time Trajectory Tracking Control for Nonholonomic Mobile Robot Based on Visual Servoing

Fixed-Time Trajectory Tracking Control for Nonholonomic Mobile Robot Based on Visual Servoing

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Adaptive Fixed‐Time Trajectory Tracking Control for Underactuated Hovercraft with Prescribed Performance in the Presence of Model Uncertainties

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