Advanced backstepping control based on ADR for non-affine non-strict feedback nonlinear systems

Cheng, Chunhua; Di, Yazhou; Xu, Jia; Yuan, Tao

doi:10.1080/00051144.2018.1517512

Cited by 6 publications

(5 citation statements)

References 21 publications

(38 reference statements)

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“…According to the active disturbance rejection concept in [23][24][25][26], equation (35) could be changed to the following:…”

Section: Spacecraft With Only Ree Rustersmentioning

confidence: 99%

“…Actually, the spacecraft system with uncertainties, disturbances, actuator failures, and actuator saturation simultaneously is a more complicated uncertain nonlinear system, whose typical representative is a nonaffine nonlinear system. In [23][24][25][26][27], the active disturbance rejection technique presented in [28] is applied to the nonaffine nonlinear system. erefore, in this paper, a compound control based on active disturbance rejection control (ADRC) scheme and slide mode control (SMC) is designed to achieve attitude tracking for the spacecraft system.…”

Section: Introductionmentioning

confidence: 99%

“…where p 0 > 0 and η > 0 are positive constant parameters chosen by the designer. Z 2 is the state of ESO equation (23), which can approach G. Theorem 1. Consider a spacecraft system with partial effectiveness loss fault and additive fault; meanwhile, the thrusters are limited, which is stated in equation (19).…”

mentioning

confidence: 99%

“…en, ‖G − Z 2 ‖ can be viewed as the disturbance input of the closed loop system consisting of equations (20), (23), (24), and (25). 32is smaller than zero.…”

mentioning

confidence: 99%

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Attitude Tracking of Rigid Spacecraft with Actuator Saturation and Fault Based on a Compound Control

Cheng

Yang

Wang

et al. 2020

Mathematical Problems in Engineering

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A compound control based on active disturbance rejection control (ADRC) scheme and slide mode control (SMC) is proposed to investigate the attitude tracking problem for a spacecraft with modeling uncertainties, external disturbances, actuator failures, and actuator saturations simultaneously. A positive term including control input is separated from the system, and then, the active disturbance rejection concept and the extended state observer (ESO) are applied to deal with the general uncertain item caused by uncertainties, external disturbances, actuator failures, and actuator saturations. The sliding mode surface is designed to transform the attitude tracking problem into attitude stabilization problem. In order to deal with the actuator saturations, a saturation degree coefficient and its corresponding adaptive law are introduced. Compared to other existing references, the proposed scheme does not need to know the structure or upper bound information of the inertial matrix uncertainties and external disturbances. Finally, the stability of the closed-loop system is analyzed by using input to state stability theory. Simulation results are given to verify the effectiveness of the proposed scheme. More importantly, the proposed technique can also be applied to the attitude stabilization of other aircraft, such as the attitude of unmanned aerial vehicle and helicopter in maritime rescue.

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“…According to the active disturbance rejection concept in [23][24][25][26], equation (35) could be changed to the following:…”

Section: Spacecraft With Only Ree Rustersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

“…en, ‖G − Z 2 ‖ can be viewed as the disturbance input of the closed loop system consisting of equations (20), (23), (24), and (25). 32is smaller than zero.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Attitude Tracking of Rigid Spacecraft with Actuator Saturation and Fault Based on a Compound Control

Cheng

Yang

Wang

et al. 2020

Mathematical Problems in Engineering

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“…Yet, the traditional back-stepping technique has the limitation that it can be applied to achieve synchronization of those systems which are having their state equations in the strict-feedback form and both, the drive and response system have same order. Despite the fact that back-stepping technique has the above-mentioned constraints, in the work [17,18], authors have made efforts to show the wide applicability of back-stepping technique for systems, so called in non strict-feedback form. A large number of research papers have also been published on applying the back-stepping control approach to synchronize two same-order chaotic and hyperchaotic systems [19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Reduced Order Synchronization of Two Non-Identical Special Class of Strict Feedback Systems Via Back-Stepping Control Technique

Bora,

Sharma

2023

Journal of Computational and Nonlinear Dynamics

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This work offers a systematic technique to achieve reduced order synchronization (ROS) between two different order general classes of chaotic systems in a master-slave configuration. In this study, the dynamics of the master and slave systems are assumed to follow a special class of strict-feedback form, namely, the generalized triangular feedback form. The main objective is to design a suitable scalar controller using a Lyapunov theory-based back-stepping approach such that the mth order slave system gets synchronized with the nth order master system. Due to the difference in the order of the systems (m<n and m=(n−1)), it is only possible to achieve the synchronization between m numbers of states of the slave systems with (n−1) numbers of states of the master system, respectively. We cannot conclude on the stability of the nth state of the master system as there is no counterpart (state) available in the slave system to be synchronized with. Adding an additional (m+1)th state dynamics along with a nonlinear feedback controller (U1) to the slave system ensures that the nth state of the master system is synchronized with the (m+1)th state dynamics of the slave system. With the suggested technique proposed in this article, complete state-to-state synchronization can be achieved with only two controllers. The analytical results are successfully validated through numerical simulations presented in the end.

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Guidance Law Design Against Unknown Maneuvering Target Based on Two ESOs

Cheng¹,

Huo²,

Hao³

et al. 2023

Lecture Notes in Electrical Engineering

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Advanced backstepping control based on ADR for non-affine non-strict feedback nonlinear systems

Cited by 6 publications

References 21 publications

Attitude Tracking of Rigid Spacecraft with Actuator Saturation and Fault Based on a Compound Control

Attitude Tracking of Rigid Spacecraft with Actuator Saturation and Fault Based on a Compound Control

Reduced Order Synchronization of Two Non-Identical Special Class of Strict Feedback Systems Via Back-Stepping Control Technique

Guidance Law Design Against Unknown Maneuvering Target Based on Two ESOs

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