A finite-time sliding mode control for hypersonic vehicle

2019 ◽  
Vol 41 (15) ◽  
pp. 4339-4350 ◽  
Author(s):  
Qingwen Ma ◽  
Jianguo Guo ◽  
Jun Zhou
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Hypersonic Vehicle ◽  
Lyapunov Theory ◽  
Terminal Sliding Mode ◽  
Finite Time Stability ◽  
Mode Control ◽  
Time Control ◽  
Longitudinal Dynamic

In this paper, a finite-time control strategy based on back-stepping method combining with a terminal sliding mode control (TSMC) and a nonlinear disturbance observer (NDO) is proposed for the longitudinal dynamic model of hypersonic vehicle (HV). Firstly, the model of HV is transformed into two strict feedback subsystem: the mismatched subsystem of altitude and the matched subsystem of velocity. Then, the TSMC and back-stepping method is incorporated to cope with the unmatched issue in the HV altitude subsystem. In addition, a NDO based on a finite-time-convergent differentiator (FD) is proposed to estimate the lumped disturbances. The finite-time stability condition of the system is established via the Lyapunov theory. Finally, the robustness and effectiveness of the method are verified by simulations.

scholarly journals A Finite-Time Disturbance Observer Based Full-Order Terminal Sliding-Mode Controller for Manned Submersible with Disturbances

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Xing Fang ◽  
Fei Liu
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Disturbance Observer ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
System Stability ◽  
Sliding Mode Controller ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Manned Submersible

A novel full-order terminal sliding-mode controller (FOTSMC) based on the finite-time disturbance observer (FTDO) is proposed for the “JIAOLONG” manned submersible with lumped disturbances. First, a finite-time disturbance observer (FTDO) is developed to estimate the lumped disturbances including the external disturbances and model uncertainties. Second, a full-order terminal sliding-mode surface is designed for the manned submersible, whose sliding-mode motion behaves as full-order dynamics rather than reduced-order dynamics in conventional sliding-mode control systems. Then, a continuous sliding-mode control law is developed to avoid chattering phenomenon, as well as to drive the system outputs to the desired reference trajectory in finite time. Furthermore, the closed-loop system stability analysis is given by Lyapunov theory. Finally, the simulation results demonstrate the satisfactory tracking performance and excellent disturbance rejection capability of the proposed finite-time disturbance observer based full-order terminal sliding-mode control (FTDO-FOTSMC) method.

scholarly journals A continuous integral terminal sliding mode control approach for a class of uncertain nonlinear systems

2019 ◽  
Vol 52 (5-6) ◽  
pp. 720-728
Author(s):  
Huawei Niu ◽  
Qixun Lan ◽  
Yamei Liu ◽  
Huafeng Xu
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Control Law ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Control Approach ◽  
Mode Control ◽  
Time Control

In this article, the continuous integral terminal sliding mode control problem for a class of uncertain nonlinear systems is investigated. First of all, based on homogeneous system theory, a global finite-time control law with simple structure is proposed for a chain of integrators. Then, inspired by the proposed finite-time control law, a novel integral terminal sliding mode surface is designed, based on which an integral terminal sliding mode control law is constructed for a class of higher order nonlinear systems subject disturbances. Furthermore, a finite-time disturbance observer-based integral terminal sliding mode control law is proposed, and strict theoretical analysis shows that the composite integral terminal sliding mode control approach can eliminate chattering completely without losing disturbance attenuation ability and performance robustness of integral terminal sliding mode control. Simulation examples are given to illustrate the simplicity of the new design approach and effectiveness.

scholarly journals Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Fengjiao Wu ◽  
Junling Ding ◽  
Zhengzhong Wang
Keyword(s):  
Sliding Mode Control ◽  
Nonlinear Vibration ◽  
Finite Time ◽  
Sliding Mode ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Time Control ◽  
Governing System ◽  
Francis Hydroturbine

The robust finite-time control for a Francis hydroturbine governing system is investigated in this paper. Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. Then, on the basis of finite-time control theory and terminal sliding mode scheme, a new robust finite-time terminal sliding mode control method is proposed for nonlinear vibration control of the hydroturbine governing system. Furthermore, the designed controller has good robustness which could resist external random disturbances. Numerical simulations are employed to verify the effectiveness and superiority of the designed finite-time sliding mode control scheme. The approach proposed in this paper is simple and also provides a reference for relevant hydropower systems.

Performance Comparison of Standard Terminal Sliding Mode Control and Non-Singular Terminal Sliding Mode Control

2012 ◽  
Vol 588-589 ◽  
pp. 1654-1658
Author(s):  
Fei Yang ◽  
Wu Wang
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Sliding Mode ◽  
Nonlinear Function ◽  
Performance Comparison ◽  
Lyapunov Theory ◽  
Singular Problem ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control

Terminal sliding mode control (TSMC) was designed with introduction nonlinear function into sliding hyper-plane, which makes tracing error converge to zero in finite time. The standard TSMC (STSMC) control and non-singular TSMC (NTSMC) control was designed for an uncertain two-order nonlinear dynamic system, the sliding function and controller of STSMC control and NTSMC control are designed respectively, also the finite time of arrival was analyze. The stability was proved with Lyapunov theory, the performance comparison of STSMC and NTSMC was simulated with conclusions that STSMC control and NTSMC control are all feasible control for nonlinear system, STSMC control exist singular problem, but NTSMC control without singular problem, with sliding surface and control law with different parameters, the control characteristic can realized, which was suitable for special control system.

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