Fast nonsingular integral terminal sliding mode control for nonlinear dynamical systems

Li, Peng; Ma, Jianjun; Zhang, Zhiqiang; Lin, Geng

doi:10.1109/cdc.2014.7040128

Cited by 25 publications

(26 citation statements)

References 24 publications

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“…3. Compared with Sun et al, 11 Li et al, 14 and Mu et al, 15 the input constraint is considered in this paper, which makes the designed controller have more practical significance.…”

Section: Introductionmentioning

confidence: 99%

“…The longspan maneuvering flight can cause the change of running conditions, which may result in the degradation and even failure of the control system performance. Nonlinear control methods include feedback linearization, 9 dynamic inversion, 10 sliding mode control method, [11][12][13][14][15] back-stepping, 16 and others. In Xu et al, 9 the sliding mode variable structure theory is combined with feedback linearization, and a doubleloop controller is designed for hypersonic aircrafts to ensure the system is robust for the uncertain parameters, and asymptotic stability of the closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

“…11 At present, many scholars are trying to solve this problem. For example, some use terminal sliding mode control method 11,12,14,15 to solve it. In Sun et al, 11 based on the feedback linearization, the discontinuous integral sliding mode controller is designed for hypersonic aircrafts, which enables the closed-loop system to converge to the equilibrium within finite time.…”

Section: Introductionmentioning

confidence: 99%

“…In Hu et al 17 and Zong et al, 18 to solve the chattering phenomenon caused by the discontinuity of control, on the basis of the quasi-continuous high-order sliding mode, a quasi-continuous finite-time controller is designed for the output tracking control of hypersonic aircrafts and the chattering can be reduced effectively. In Li et al 14 and Mu et al, 15 to solve the problem of the convergence rate of the system being slow when the sliding mode surface is far away from the equilibrium, a fast terminal sliding mode controller is designed for hypersonic aircrafts.…”

Section: Introductionmentioning

confidence: 99%

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Finite-time tracking control of hypersonic aircrafts with input saturation

Sun

Song

Chen

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part G:

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In this paper, the related research and analysis are made on the finite-time tracking control of hypersonic aircrafts. Two finite-time anti-saturation integral sliding mode controllers are designed with the consideration of external disturbances, coupling responses, model parameter uncertainties, and input saturation. Firstly, based on the mean value theorem, the control problem with input saturation constraints is transformed into the one without input constraints, which overcomes the assumption of the input boundedness. Secondly, two adaptive finite-time integral sliding mode controllers are designed: the first controller is finite-time stable, while the second controller is practical finite-time stable which utilizes the adaptive algorithms with low-pass filtering properties to ensure the boundedness of adaptive parameters. Finally, the digital simulation is carried out on different types of signals to further verify the validity and robustness of the proposed finite-time anti-saturation controllers.

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“…3. Compared with Sun et al, 11 Li et al, 14 and Mu et al, 15 the input constraint is considered in this paper, which makes the designed controller have more practical significance.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Finite-time tracking control of hypersonic aircrafts with input saturation

Sun

Song

Chen

et al. 2017

Proceedings of the Institution of Mechanical Engineers, Part G:

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“…Shtessel and Hall have contributed a great deal to the application of sliding mode control in the reentry RLV based on multi‐loop control structure . It is worth noting that the problem mentioned chattering elimination and finite‐time stability promote the rise and development of high‐order sliding mode control and terminal sliding mode control . In , the quasi‐continuous high‐order sliding mode control technique was capable of removing both the chattering and the relative‐degree restrictions with preserving the sliding mode features and improving its accuracy.…”

Section: Introductionmentioning

confidence: 99%

Adaptive-gain multivariable super-twisting sliding mode control for reentry RLV with torque perturbation

Dong

Zong

Tian

et al. 2016

Int. J. Robust. Nonlinear Control

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Summary Reusable launch vehicle (RLV) should be under control in the presence of model uncertainty and external disturbance, which is considered as torque perturbation in this paper during the reentry phase. Such a challenge imposes tight requirements to the enhanced robustness and accuracy of the vehicle autopilot. The key of this paper is to propose an adaptive‐gain multivariable super‐twisting sliding mode controller when considering that the bounds of uncertainty and perturbation are not known. The important features of the controller are that the adaptation algorithm can achieve non‐overestimating values of the control gains and the multivariable super‐twisting sliding mode approach can obtain a more elegant solution in finite time. According to the multiple‐time scale features, the dynamics of RLV attitude motion are divided into outer‐loop subsystem and inner‐loop subsystem. On this basis, the controllers are designed respectively to ensure the finite‐time reentry attitude tracking. In addition, a proof of the finite‐time convergence for the overall system is derived using the Lyapunov function technique and multiple‐time scale characteristic. Finally, simulation results of six degree‐of‐freedom RLV are provided to verify the effectiveness and robustness of the proposed controller in tracking the guidance commands as well as achieving a safe and stable reentry flight. Copyright © 2016 John Wiley & Sons, Ltd.

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Neural network‐based continuous finite‐time tracking control for uncertain robotic systems with actuator saturation

Sai

Zhu

et al. 2022

Asian Journal of Control

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This paper proposes a neural network-based continuous finite-time tracking controller for the robust high-precision control of robotic systems under model uncertainty, external disturbance, and actuator saturation. First, a fast nonsingular integral terminal sliding mode (FNITSM) surface is adopted to ensure singularity avoidance and fast finite-time convergence. Considering the presence of model uncertainties and external disturbance, the fully adaptive radial basis function neural network (ARBFNN) is used to approximate and compensate for the unknown dynamic model. Then, a novel continuous fast fractional-order power (CFFOP) approach law is explored to increase the convergence rate and eliminate chattering in the FNITSM control. Meanwhile, the approach law relaxes the requirement on the exact information of the upper bound of the disturbances and their time derivatives. Besides, an actuator saturation compensator (ASO) is proposed to compensate for the limited control input. The stability and finite-time convergence of the proposed controller are analyzed using the Lyapunov theory. Finally, comparative simulations of both the numerical and application examples are conducted to verify the effectiveness of the proposed control schemes, indicating that the CFFOP approach law and ASO can be used effectively for robotic systems.

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Fast nonsingular integral terminal sliding mode control for nonlinear dynamical systems

Cited by 25 publications

References 24 publications

Finite-time tracking control of hypersonic aircrafts with input saturation

Finite-time tracking control of hypersonic aircrafts with input saturation

Adaptive-gain multivariable super-twisting sliding mode control for reentry RLV with torque perturbation

Neural network‐based continuous finite‐time tracking control for uncertain robotic systems with actuator saturation

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