On Convergence of the Nonlinear Active Disturbance Rejection Control for MIMO Systems

Guo, Bao‐Zhu; Zhao, Zhi‐Liang

doi:10.1137/110856824

Cited by 266 publications

(125 citation statements)

References 15 publications

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“…35 the constants are l 1 , l 2 , l 3 , l 4 , and k, two positive definite, radially unbounded and continuous differentiable functions are…”

Section: Convergence Analysis Of Nlesomentioning

confidence: 99%

“…35 Conditions (19), (20), (21), and (22) are satisfied with ð0Þ ¼ 0. For any % > 0, t > t 1 > 0 and " 0 > 0 such that…”

Section: Theoremmentioning

confidence: 99%

“…The state feedback 'ðÁÞ is locally Lipschitz constant C 0 , that is, 35 k'ðXÞ À 'ðZÞk C 0 kX ÀZk (27) For any stateX ¼ ½X 1 ;X 2 T , belonging to the domain of interest are constants l 1 , l 2 , l 3 , l 4 , and $, two positive definite, radially unbounded and continuous differentiable functions V 2 ðXÞ, W 2 ðXÞ : R 2 ! R such that …”

Section: Stability Analysis Of Closed-loop Systemmentioning

confidence: 99%

See 2 more Smart Citations

Active disturbance rejection attitude control for a hypersonic reentry vehicle with actuator saturation

Yang¹,

Yu²,

Wang³

et al. 2017

International Journal of Advanced Robotic Systems

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In this article, nonlinear uncertainty has been investigated for a hypersonic reentry vehicle subject to actuator saturation via active disturbance rejection control technology. A nonlinear extended state observer is designed to estimate "total disturbances," which is compensated with a linear controller. Both convergence of the nonlinear extended state observer and stabilization of the closed-loop system are studied in this article. Some simulation results are given to illustrate the effectiveness of the proposed method.

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“…35 the constants are l 1 , l 2 , l 3 , l 4 , and k, two positive definite, radially unbounded and continuous differentiable functions are…”

Section: Convergence Analysis Of Nlesomentioning

confidence: 99%

“…35 Conditions (19), (20), (21), and (22) are satisfied with ð0Þ ¼ 0. For any % > 0, t > t 1 > 0 and " 0 > 0 such that…”

Section: Theoremmentioning

confidence: 99%

Section: Stability Analysis Of Closed-loop Systemmentioning

confidence: 99%

See 1 more Smart Citation

Active disturbance rejection attitude control for a hypersonic reentry vehicle with actuator saturation

Yang¹,

Yu²,

Wang³

et al. 2017

International Journal of Advanced Robotic Systems

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show abstract

“…However, LADRC is not a Lyapunov-based stability constructive approach as can be seen from its control structure and only using measurement outputs. Additionally the closed-loop stability analysis containing ADRC is rather difficult, or even an impossible task, as illustrated in Huang and Xue 37) and Guo and Zhao, 38) wherein there are two requirements: the feedbacks with the number of full-state and sufficiently high bandwidth of ESO. However, these two requirements are unable to coincide with practical applications.…”

Section: Overall Performance and Stability Analysismentioning

confidence: 99%

Practical Solution to Efficient Flight Path Control for Hypersonic Vehicles

Sun

Wang

et al. 2016

Trans. Japan Soc. Aero. S Sci.

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There is a severe lag between the pitch attitude and flight path angle of hypersonic vehicles, imposing extraordinary difficulty in achieving high-precision trajectory control. A comprehensive flight path regulation scheme is proposed to resolve this problem. The inherent relationship between the pitch attitude and flight path angle is sufficiently used to establish a feed-forward control framework where the flight path reference is directly fed into the attitude loop in order to quickly obtain the major control component. To achieve efficient tracking, an attitude control method based on active disturbance rejection control (ADRC) is proposed. The new attitude control method utilizes an extended state observer (ESO) to estimate the unknown model dynamics and external disturbances. The remaining part of control is generated by ADRC acting on the flight path angle, which plays a complementary role. The stability margin tester is used to tune the attitude controller explicitly. Finally, simulation examples are provided to demonstrate the effectiveness of the proposed method.

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“…then (19) can be transformed into a similar form to (15), which means the effect of disturbances is completely compensated. Subsequently, the actual control law for the slowstate loop is obtained as…”

Section: Extended State Observer Designmentioning

confidence: 99%

An Integrated Approach to Hypersonic Entry Attitude Control

Yuan

Tan

et al. 2014

Int. J. Autom. Comput.

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Abstract:This paper presents an integrated approach based on dynamic inversion (DI) and active disturbance rejection control (ADRC) to the entry attitude control of a generic hypersonic vehicle (GHV). DI is firstly used to cancel the nonlinearities of the GHV entry model to construct a basic attitude controller. To enhance the control performance and system robustness to inevitable disturbances, ADRC techniques, including the arranged transient process (ATP), nonlinear feedback (NF), and most importantly the extended state observer (ESO), are integrated with the basic DI controller. As one primary task, the stability and estimation error of the second-order nonlinear ESO are analyzed from a brand new perspective: the nonlinear ESO is treated as a specific form of forced Liénard system. Abundant qualitative properties of the Liénard system are utilized to yield comprehensive theorems on nonlinear ESO solution behaviors, such as the boundedness, convergence, and existence of periodic solutions. Phase portraits of ESO estimation error dynamics are given to validate our analysis. At last, three groups of simulations, including comparative simulations with modeling errors, Monte Carlo runs with parametric uncertainties, and a six degrees-of-freedom reference entry trajectory tracking are executed, which demonstrate the superiority of the proposed integrated controller over the basic DI controller.

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On Convergence of the Nonlinear Active Disturbance Rejection Control for MIMO Systems

Cited by 266 publications

References 15 publications

Active disturbance rejection attitude control for a hypersonic reentry vehicle with actuator saturation

Active disturbance rejection attitude control for a hypersonic reentry vehicle with actuator saturation

Practical Solution to Efficient Flight Path Control for Hypersonic Vehicles

An Integrated Approach to Hypersonic Entry Attitude Control

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