Sliding mode controller design based on reaching law for hypersonic flight vehicle

Author(s):  
Jianmin Wang ◽  
Yunjie Wu ◽  
Xiaodong Liu

For a hypersonic flight vehicle with highly coupling nonlinear, a sliding mode controller based on reaching law is designed for its longitudinal motion model. Two proposals of reaching law are designed. One of which is a variable exponential reaching law, the other one is compound reaching law which consists of a conventional exponential reaching law and a power rate reaching law. The reaching law controller can speed up the system states arriving at the sliding mode condition, at the same time, it can guarantee better robustness. Simulation analysis is conducted for trimmed cruise condition of 110,000 ft and Mach 15, in which the responses of the vehicle to a step change of altitude and velocity respectively are analyzed. Simulation results show that the controller based on variable exponential reaching law enables the system to faster tracking speed than the conventional reaching law. Moreover the compound reaching law controller has shorter tracking time and strong robustness against parameters uncertainties.

2015 ◽  
Vol 2015 ◽  
pp. 1-26 ◽  
Author(s):  
Yunjie Wu ◽  
Jianmin Wang

A continuous recursive sliding mode controller (CRSMC) with extended disturbance observer (EDO) is proposed for the longitudinal dynamics of a generic hypersonic flight vehicle (HFV) in the presence of multiple uncertainties under control constraints. Firstly, sliding mode tracking controller based on a set of novel recursive sliding mode manifolds is presented, in which the chattering problem is reduced. The CRSMC possesses the merits of both nonsingular terminal sliding mode controller (NTSMC) and high-order sliding mode controller (HOSMC). Then antiwindup controller is designed according to the input constraints, which adds a dynamic compensation factor in the CRSMC. For the external disturbance of system, an improved disturbance observer based on extended disturbance observer (EDO) is designed. The external disturbance is estimated by the disturbance observer and the estimated value is regarded as compensation in CRSMC for disturbance. The stability of the proposed scheme is analyzed by Lyapunov function theory. Finally, numerical simulation is conducted for cruise flight dynamics of HFV, where altitude is 110000 ft, velocity is 15060 ft/s, and Mach is 15. Simulation results show the validity of the proposed approach.


2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yu-Xin Zhao ◽  
Tian Wu ◽  
Yan Ma

For discrete system, the reaching law election and controller design are two crucial and important problems. In this paper, an improved double power reaching law of SMC and a controller combined with neural network have been investigated. Theory proves that this method can eliminate the chattering and increase the reaching rate. Furthermore, when there is a certain external interference, the regulating function of neural network can ensure strong robustness of the system. Simulation results show that compared with exponential reaching law, single power reaching law, and traditional double power reaching law, the proposed reaching law has faster convergence speed and better dynamic performance.


Author(s):  
Siddesh K. B. ◽  
Basavaraja Banakara ◽  
R. Shivarudraswamy

This paper presents an enhanced sliding mode controller (SMC) operation, chattering analysis and loading conditions of the SMC DC-DC buck converter. Sliding mode portion, chattering attenuation are analyzed by using a conventional and proposed reaching law in buck converter. A proposed tan hyperbolic reaching law (THRL) is originated to be useful in terms of chattering mitigation and fast convergence. The major drawback of the conventional reaching law viz, it bypasses the main portion of the sliding mode portion to ensure fast reaching. It causes more chattering, more time to reach the steady state on the switching surface. The most significant improvement of SMC is that it guarantees strengthening the sliding mode phase. The proposed tan hyperbolic reaching law is being hit here during an exponential adjustment so that the attributes of it, covers complete sliding mode portion, chattering mitigation and fast reaching time. In turn, cause fewer switching loss in the buck converter. Even external disturbances and uncertainty of the system occurs. The loading conditions are applied to proposed tan hyperbolic reaching law and analyzed. Simulation analysis conducted by MATLAB/Simulink.


Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Shouwei Wei ◽  
Xiaoyu Su

To facilitate the performance of the active suspension system, the optimization of a new reaching law of the active suspension sliding mode controller based on cuckoo algorithm is addressed in this paper. Firstly, a linear model of the active suspension system is built. Then, according to the features of the new exponential reaching law, an active sliding mode control scheme based on the new sliding mode reaching law is designed. Finally, the simulation results are separated into two stages to verify the suitability and superiority of the proposed control scenario.


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