scholarly journals Nonlinear Constrained Adaptive Backstepping Tracking Control for a Hypersonic Vehicle with Uncertainty

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Qin Zou ◽  
Fang Wang ◽  
Qun Zong
Keyword(s):  
Controller Design ◽  
Input Saturation ◽  
Hypersonic Vehicle ◽  
Backstepping Control ◽  
Robust Adaptive Control ◽  
Adaptive Backstepping ◽  
Control Scheme ◽  
Auxiliary Signal ◽  
Control Saturation ◽  
Robust Adaptive

The control problem of a flexible hypersonic vehicle is presented, where input saturation and aerodynamic uncertainty are considered. A control-oriented model including aerodynamic uncertainty is derived for simple controller design due to the nonlinearity and complexity of hypersonic vehicle model. Then it is separated into velocity subsystem and altitude subsystem. On the basis of the integration of robust adaptive control and backstepping technique, respective controller is designed for each subsystem, where an auxiliary signal provided by an additional dynamic system is used to compensate for the control saturation effect. Then to deal with the “explosion of terms” problem inherent in backstepping control, a novel first-order filter is proposed. Simulation results are included to demonstrate the effectiveness of the adaptive backstepping control scheme.

scholarly journals Adaptive Backstepping Control for Longitudinal Dynamics of Hypersonic Vehicle Subject to Actuator Saturation and Disturbance

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Zhiqiang Jia ◽  
Tianya Li ◽  
Kunfeng Lu
Keyword(s):  
Control Strategy ◽  
Actuator Saturation ◽  
Hypersonic Vehicle ◽  
Backstepping Control ◽  
Order System ◽  
Adaptive Backstepping ◽  
External Disturbances ◽  
Longitudinal Control ◽  
Adaptive Backstepping Control ◽  
Control Scheme

In this paper, an adaptive backstepping control strategy is presented to solve the longitudinal control problem for a hypersonic vehicle (HSV) subject to actuator saturation and disturbances. Small perturbation linearization transforms the dynamics to a seconded-order system at each trimming point, with total disturbance including unmodeled dynamics, parametric uncertainties, and external disturbances. The disturbance can be estimated and compensated for by an extended state observer (ESO), and thus the system is decoupled. To deal with the actuator saturation and wide flight envelope, an adaptive backstepping control strategy is designed. A rigorous proof of finite-time convergence is provided applying Lyapunov method. The effectiveness of the proposed control scheme is verified in simulations.

ADAPTIVE BACKSTEPPING CONTROL OF A PIEZO-POSITIONING MECHANISM WITH HYSTERESIS

2007 ◽  
Vol 31 (1) ◽  
pp. 97-110 ◽  
Author(s):  
Jing Zhou ◽  
Changyun Wen ◽  
Chengjin Zhang
Keyword(s):  
Controller Design ◽  
Backstepping Control ◽  
Hysteretic Behavior ◽  
Nonlinear Observer ◽  
Design Parameters ◽  
Adaptive Backstepping ◽  
Lugre Model ◽  
Unknown Parameters ◽  
Adaptive Backstepping Control ◽  
Robust Adaptive

Piezo-positioning mechanisms are often used in high-precision positioning applications. Due to their materials, nonlinear hysteretic behavior is commonly observed in such mechanisms and can be described by a LuGre model. In this paper, we develop two robust adaptive backstepping control algorithms for piezo-positioning mechanisms. In the first scheme, we take the structure of the LuGre model into account in the controller design, if the parameters of the model are known. A nonlinear observer is designed to estimate the hysteresis force. In the second scheme, there is no apriori information required from these parameters and thus they can be allowed totally uncertain. In this case, the LuGre model is divided into two parts. While the unknown parameters of one part are incorporated with unknown system parameters for estimation, the effect of the other part is treated as a bounded disturbance. An update law is used to estimate the bound involving this partial hysteresis effect and the external load. For both schemes, it is shown that not only global stability is guaranteed by the proposed controller, but also both transient and asymptotic performances are quantified as explicit functions of the design parameters so that designers can tune the design parameters in an explicit way to obtain the required closed loop behavior.

scholarly journals Designing Backstepping Control System for Hypersonic Vehicle Based on Feedback Linearization

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Jianli Wei ◽  
Huan Chen
Keyword(s):  
Control System ◽  
Feedback Linearization ◽  
Control Method ◽  
Control Volume ◽  
Parametric Uncertainty ◽  
Linearization Method ◽  
Backstepping Control ◽  
Robust Adaptive Control ◽  
Adaptive Backstepping ◽  
Robust Adaptive

A hypersonic vehicle uses the airbreathing scramjet engine and the airframe and engine integrated design. Therefore, there is a strong cross-coupling effect among its aerodynamic force, thrust, structure, and control. The nonlinearity and uncertainty of the model cause difficulties in control system design. Considering the nonlinearity, coupling characteristics, and aerodynamic parametric uncertainty of its longitudinal dynamic model, we design the control law for its altitude system and velocity system based on the adaptive backstepping control method. Because of the feedback linearization method, we introduce the constraints of the flight vehicle’s actuator into the design, obtaining the robust adaptive control system constrained by the actuator of the flight vehicle. To avoid the high-order derivation problem of the feedback linearization method and the derivation of the virtual control volume in adaptive backstepping control method, we use the arbitrary-order robust exact differentiator to solve the high-order derivatives in feedback linearization and utilize the command filter to obtain the virtual control volume and its derivatives. The simulation results show that the robust adaptive control system we designed can achieve the error-free tracking of altitude and velocity command. It can well overcome the influence of structural parameters, aerodynamic parametric uncertainty, and disturbances; meanwhile, the control command can satisfy the constraints of the actuator.

A New Robust Adaptive Backstepping for Ship Course-Keeping Control

2014 ◽  
Vol 536-537 ◽  
pp. 793-797 ◽  
Author(s):  
Hao Duo Wang ◽  
Qin Ruo Wang ◽  
Luo Yan ◽  
Xiao Ze Wu
Keyword(s):  
External Disturbance ◽  
Tracking Error ◽  
Uniform Boundedness ◽  
Robust Adaptive Control ◽  
Closed Loop System ◽  
Adaptive Backstepping ◽  
Ship Steering ◽  
Control Scheme ◽  
Course Control ◽  
Robust Adaptive

In this paper, we develop a new robust adaptive control scheme for ship steering by introducing alternative smooth function and Nussbaum function into backstepping approaches. And no requirements for the knowledge of control coefficient and the bound of unknown external disturbance, the proposed strategy implements the global stability of the ship course control and guarantees the global uniform boundedness of all signals of the resulting closed-loop system. Theoretical analysis demonstrates that tracking error asymptotically converges within an arbitrary small value pre-described by designer. Simulation results illustrate the effectiveness of the developed adaptive backstepping control law.

Vibration suppression of wind turbine nacelle with active electromagnetic mass damper systems using adaptive backstepping control

2021 ◽  
pp. 107754632199887
Author(s):  
Sinan Basaran ◽  
Fevzi Cakmak Bolat ◽  
Selim Sivrioglu
Keyword(s):  
Vibration Suppression ◽  
Controller Design ◽  
Wind Load ◽  
Backstepping Control ◽  
Structural Systems ◽  
Adaptive Backstepping ◽  
Electromagnetic Mass ◽  
Flow Induced Vibration ◽  
Adaptive Backstepping Control ◽  
Mass Damper

Many structural systems, such as wind turbines, are exposed to high levels of stress during operation. This is mainly because of the flow-induced vibrations caused by the wind load encountered in every tall structure. Preventing the flow-induced vibration has been an important research area. In this study, an active electromagnetic mass damper system was used to eliminate the vibrations. The position of the stabilizer mass in the active electromagnetic mass damper system was determined according to the displacement information read on the system without using any spring element, unlike any conventional system. The proposed system in this study has a structure that can be implemented as a vibration suppressor in many intelligent structural systems. Two opposing electromagnets were used to determine the instant displacement of the stabilizer mass. The control currents to be given to these electromagnets are determined by using an adaptive backstepping control design. The adaptive controller algorithm can predict the wind load used in the controller design without prior knowledge of the actual wind load. It was observed that the designed active electromagnetic mass damper structure is successful in suppressing system vibrations. As a result, the proposed active electromagnetic mass damper system has been shown to be suitable for structural systems in flow-induced vibration damping.

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