Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle

Bu, Xiangwei; Wu, Xiaoyan; Zhang, Rui; Ma, Zhen; Huang, Jiaqi

doi:10.1016/j.jfranklin.2015.01.014

Cited by 179 publications

(119 citation statements)

References 19 publications

Supporting

Mentioning

114

Contrasting

Order By: Relevance

“…Remark 2. Note that the newly defined weight in equation (19) is obtained by solving a linear function in equation (16) based on the first-order optimality conditions in equation (15). In this procedure, no optimization methods such as the quadratic programming method or the dynamic programming method, which are often applied to NN-based approximation, are needed.…”

Section: Ls-svm-based Approximationmentioning

confidence: 99%

Efficient adaptive constrained control with time-varying predefined performance for a hypersonic flight vehicle

Wei

Luo

Dai

et al. 2017

International Journal of Advanced Robotic Systems

View full text Add to dashboard Cite

A novel low-complexity adaptive control method, capable of guaranteeing the transient and steady-state tracking performance in the presence of unknown nonlinearities and actuator saturation, is investigated for the longitudinal dynamics of a generic hypersonic flight vehicle. In order to attenuate the negative effects of classical predefined performance function for unknown initial tracking errors, a modified predefined performance function with time-varying design parameters is presented. Under the newly developed predefined performance function, two novel adaptive controllers with low-complexity computation are proposed for velocity and altitude subsystems of the hypersonic flight vehicle, respectively. Wherein, different from neural network-based approximation, a least square support vector machine with only two design parameters is utilized to approximate the unknown hypersonic dynamics. And the relevant ideal weights are obtained by solving a linear system without resorting to specialized optimization algorithms. Based on the approximation by least square support vector machine, only two adaptive scalars are required to be updated online in the parameter projection method. Besides, a new finite-time-convergent differentiator, with a quite simple structure, is proposed to estimate the unknown generated state variables in the newly established normal output-feedback formulation of altitude subsystem. Moreover, it is also employed to obtain accurate estimations for the derivatives of virtual controllers in a recursive design. This avoids the inherent drawback of backstepping -"explosion of terms" and makes the proposed control method achievable for the hypersonic flight vehicle. Further, the compensation design is employed when the saturations of the actuator occur. Finally, the numerical simulations validate the efficiency of the proposed finitetime-convergent differentiator and control method.

show abstract

Section: Ls-svm-based Approximationmentioning

confidence: 99%

Efficient adaptive constrained control with time-varying predefined performance for a hypersonic flight vehicle

Wei

Luo

Dai

et al. 2017

International Journal of Advanced Robotic Systems

View full text Add to dashboard Cite

show abstract

“…It is noted that the altitude dynamics of AHVs can be rewritten as a strict feedback affine model based on strict assumptions, which makes backstepping control achievable [17][18][19][20]. In [1], a robust adaptive control method is studied via backstepping.…”

Section: Introductionmentioning

confidence: 99%

“…In [19], a new tracking differentiator is exploited to provide estimations of the time derivatives of virtual controllers while the problem of "explosion of terms" is eliminated. Based on the results of [21], a new NDO is constructed, which guarantees that the proposed backstepping controller can provide robust tracking of velocity and altitude reference trajectories in the presence of parametric uncertainties and external disturbances [19]. It has been demonstrated that neural networks (NNs) have the ability of global approximation [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Concise Neural Nonaffine Control of Air-Breathing Hypersonic Vehicles Subject to Parametric Uncertainties

Bu¹,

Wang²,

Zhao³

et al. 2017

International Journal of Aerospace Engineering

Self Cite

View full text Add to dashboard Cite

In this paper, a novel simplified neural control strategy is proposed for the longitudinal dynamics of an air-breathing hypersonic vehicle (AHV) directly using nonaffine models instead of affine ones. For the velocity dynamics, an adaptive neural controller is devised based on a minimal-learning parameter (MLP) technique for the sake of decreasing computational loads. The altitude dynamics is rewritten as a pure feedback nonaffine formulation, for which a novel concise neural control approach is achieved without backstepping. The special contributions are that the control architecture is concise and the computational cost is low. Moreover, the exploited controller possesses good practicability since there is no need for affine models. The semiglobally uniformly ultimate boundedness of all the closed-loop system signals is guaranteed via Lyapunov stability theory. Finally, simulation results are presented to validate the effectiveness of the investigated control methodology in the presence of parametric uncertainties.

show abstract

“…[1][2][3] A key issue in making hypersonic vehicles feasible and efficient is the flight control design. 4 However, the flight control of FAHV is still an open challenge due to its peculiarity of flight dynamics.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy tracking control for a constrained flexible air-breathing hypersonic vehicle based on actuator compensation

Wang

et al. 2016

International Journal of Advanced Robotic Systems

View full text Add to dashboard Cite

The design of an adaptive fuzzy tracking control for a flexible air-breathing hypersonic vehicle with actuator constraints is discussed. Based on functional decomposition methodology, velocity and altitude controllers are designed. Fuzzy logic systems are applied to approximate the lumped uncertainty of each subsystem of air-breathing hypersonic vehicle model. Every controllers contain only one adaptive parameter that needs to be updated online with a minimal-learning-parameter scheme. The back-stepping design is not demanded by converting the altitude subsystem into the normal output-feedback formulation, which predigests the design of a controller. The special contribution is that novel auxiliary systems are developed to compensate both the tracking errors and desired control laws, based on which the explored controller can still provide effective tracking of velocity and altitude commands when the inputs are saturated. Finally, reference trajectory tracking simulation shows the effectiveness of the proposed method in its application to air-breathing hypersonic vehicle control.

show abstract

Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle

Cited by 179 publications

References 19 publications

Efficient adaptive constrained control with time-varying predefined performance for a hypersonic flight vehicle

Efficient adaptive constrained control with time-varying predefined performance for a hypersonic flight vehicle

Concise Neural Nonaffine Control of Air-Breathing Hypersonic Vehicles Subject to Parametric Uncertainties

Adaptive fuzzy tracking control for a constrained flexible air-breathing hypersonic vehicle based on actuator compensation

Contact Info

Product

Resources

About