Backstepping dynamic surface control for an anti-skid braking system

Qiu, Yanan; Liang, Xiaogeng; Dai, Zhiyong

doi:10.1016/j.conengprac.2015.05.013

Cited by 61 publications

(16 citation statements)

References 31 publications

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“…The authors in [28,29] have expanded output control constraints to include time-varying outputs while relaxing the limitations on the initial values of control systems. By combining barrier Lyapunov functions with dynamic surface control technologies, some studies [30,31] have proposed barrier Lyapunov function-based methods suitable for constrained dynamic surface control to solve the computational inflation problem caused by backstepping control. Researchers subsequently applied this method to brushless DC motors [32], plane braking systems [33], and hypersonic aircraft [34,35] to achieve satisfactory results in terms of constrained control.…”

Section: Introductionmentioning

confidence: 99%

Integrated Guidance and Control of Interceptor Missile Based on Asymmetric Barrier Lyapunov Function

Liu

Liang

2019

International Journal of Aerospace Engineering

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In this study, a novel integrated guidance and control (IGC) algorithm based on an IGC method and the asymmetric barrier Lyapunov function is designed; this algorithm is designed for the interceptor missile which uses a direct-force/aerodynamic-force control scheme. First, by considering the coupling between the pitch and the yaw channels of the interceptor missile, an IGC model of these channels is established, and a time-varying gain extended state observer (TVGESO) is designed to estimate unknown interferences in the model. Second, by considering the system output constraint problem, an asymmetric barrier Lyapunov function and a dynamic surface sliding-mode control method are employed to design the control law of the pitch and yaw channels to obtain the desired control moments. Finally, in light of redundancy in such actuators as aerodynamic rudders and jet devices, a dynamic control allocation algorithm is designed to assign the desired control moments to the actuators. Moreover, the results of simulations show that the IGC algorithm based on the asymmetric barrier Lyapunov function for the interceptor missile allows the outputs to meet the constraints and improves the stability of the control system of the interceptor missile.

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Section: Introductionmentioning

confidence: 99%

Integrated Guidance and Control of Interceptor Missile Based on Asymmetric Barrier Lyapunov Function

Liu

Liang

2019

International Journal of Aerospace Engineering

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“…According to (29), and letting t → t f , the error convergence domain H r in (15) is obtained. Furthermore, the size of the generalized error convergence domain H r mainly is decided by the element δ/c.…”

Section: Proof the Candidate Quadratic Lyapunov Function Of The Ehs mentioning

confidence: 99%

“…Subsequently, Won [28] proposed backstepping based on BLF with disturbance observer in EHS. Qiu [29] presented backstepping control with dynamic surface for anti-skid braking system. Guo [30] presented a state-constrained controlled by BLF to restrict the position tracking error to a prescribed accuracy and guarantee the load pressure in the maximal power boundary.…”

Section: Introductionmentioning

confidence: 99%

“…To solve this problem, the dynamic surface control (DSC) has been proposed to design a stabilizing function instead of the repeatedly calculated derivative of virtual control. The purpose of DSC is to not only eliminate the severe proliferation and system singularity and but also guarantee fast convergence and satisfactory dynamic behavior [29].…”

Section: Introductionmentioning

confidence: 99%

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Prescribed Performance Constraint Regulation of Electrohydraulic Control Based on Backstepping with Dynamic Surface

et al. 2018

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Abstract:In electro-hydraulic system (EHS), uncertain nonlinearities such as some hydraulic parametric uncertainties and external load disturbance often degrade the output dynamic performance. To address this problem, a prescribed performance constraint (PPC) control method is adopted in EHS to restrict the tracking position error of the cylinder position to a prescribed accuracy and guarantee the dynamic and steady position response in a required boundedness under these uncertain nonlinearities. Furthermore, a dynamic surface is designed to avoid the explosion of complexity due to the repeatedly calculated differentiations of the virtual control variables derived in backstepping. The effectiveness of the proposed controller has been verified by a comparative results.

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“…Using Burckhardt friction model to estimate the tire runway friction coefficient as a function of longitudinal wheel slip and horizontal ground speed to be [33]:…”

Section: Wheel Translational and Rotational Dynamicmentioning

confidence: 99%