Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems

Khelil, Nawel; Otis, Martin J.‐D.

doi:10.3390/math4040058

Cited by 10 publications

(1 citation statement)

References 30 publications

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“…Nguyen [18] designed a robust finite-time guidance law for maneuverable targets with unpredictable evasive strategies. Khelil [19] proposed a fast finite-time convergent guidance law with a nonlinear disturbance observer for unmanned aerial vehicle collision avoidance. Guo [20] designed a new continuous adaptive finite time guidance law against highly maneuvering targets.…”

Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Control Algorithm Based on Dynamic Sliding Mode for Satellite Attitude Maneuver

Liang

2021

Mathematics

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Robust finite-time control algorithms for satellite attitude maneuvers are proposed in this paper. The standard sliding mode is modified, hence the inherent robustness could be maintained, and this fixed sliding mode is modified to dynamic, therefore the finite-time stability could be achieved. First, the finite -time sliding mode based on attitude quaternion is proposed and the loose finite-time stability is achieved by enlarging the sliding mode parameter. In order to get the strict finite-time stability, a sliding mode based on the Euler axis is then given. The fixed norm property of the Euler axis is used, and a sliding mode parameter without singularity issue is achieved. System performance near the equilibrium point is largely improved by the proposed sliding modes. The singularity issue of finite-time control is solved by the property of rotation around a fixed axis. System finite-time stability and robustness are analyzed by the Lyapunov method. The superiority of proposed controllers and system robustness to some typical perturbations such as disturbance torque, model uncertainty and actuator error are demonstrated by simulation results.

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Section: Introductionmentioning

confidence: 99%

Robust Finite-Time Control Algorithm Based on Dynamic Sliding Mode for Satellite Attitude Maneuver

Liang

2021

Mathematics

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Prescribed-time convergent and noise-tolerant Z-type neural dynamics for calculating time-dependent quadratic programming

Liao

Wang

et al. 2020

Neural Comput & Applic

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A robust zeroing neural network for solving dynamic nonlinear equations and its application to kinematic control of mobile manipulator

Jin

2020

Complex Intell. Syst.

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Nonlinear phenomena are often encountered in various practical systems, and most of the nonlinear problems in science and engineering can be simply described by nonlinear equation, effectively solving nonlinear equation (NE) has aroused great interests of the academic and industrial communities. In this paper, a robust zeroing neural network (RZNN) activated by a new power versatile activation function (PVAF) is proposed and analyzed for finding the solutions of dynamic nonlinear equations (DNE) within fixed time in noise polluted environment. As compared with the previous ZNN model activated by other commonly used activation functions (AF), the main improvement of the presented RZNN model is the fixed-time convergence even in the presence of noises. In addition, the convergence time of the proposed RZNN model is irrelevant to its initial states, and it can be computed directly. Both the rigorous mathematical analysis and numerical simulation results are provided for the verification of the effectiveness and robustness of the proposed RZNN model. Moreover, a successful robotic manipulator path tracking example in noise polluted environment further demonstrates the practical application prospects of the proposed RZNN models.

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Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems

Cited by 10 publications

References 30 publications

Robust Finite-Time Control Algorithm Based on Dynamic Sliding Mode for Satellite Attitude Maneuver

Robust Finite-Time Control Algorithm Based on Dynamic Sliding Mode for Satellite Attitude Maneuver

Prescribed-time convergent and noise-tolerant Z-type neural dynamics for calculating time-dependent quadratic programming

A robust zeroing neural network for solving dynamic nonlinear equations and its application to kinematic control of mobile manipulator

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