Active disturbance rejection control for uncertain time-delay nonlinear systems

Ran, Maopeng; Wang, Qing; Dong, Chaoyang; Xie, Lihua

doi:10.1016/j.automatica.2019.108692

Cited by 97 publications

(51 citation statements)

References 36 publications

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“…As a practical physical system, the external disturbances and their time derivatives are apparently bounded. Therefore, Assumption 2 is also fairly mild and common in the literature on ESO design [40][41][42] and near-space vehicles-related disturbance rejection control [6,11,34]. Assumption 3 can be found in the literature in which output or states are constrained in time-varying sets, and guarantees that the constraints can be achieved [21,25].…”

Section: Assumption 3 There Exist Positive Constants Hmentioning

confidence: 99%

“…It can be seen that the smaller parameter ε 1 guarantees that the ESO system works in higher linear gain. In most of the existing literature about disturbance observers, there exists a tradeoff between the fast reconstruction of the states and the steady-state error [40][41][42]. High gain disturbance observers can attenuate the steady-state estimation error due to the modeling uncertainty, but increasing the gain leads to a higher sensitivity to measurement noise.…”

Section: Remarkmentioning

confidence: 99%

“…Zhao and Guo [41] developed an ESO-based output feedback controller for multi-input multi-output systems with mismatched uncertainty. Ran et al [42] expanded ADRC to uncertain nonlinear systems with input time-delay based on a novel ESO. Nevertheless, there is little extant literature on the application of ADRC technology in switched nonlinear systems, and ADRC combined with time-varying asymmetric BLF also brings challenge to controller design.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Feng

Wang

Liu

et al. 2020

Sensors

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This study is concerned with the attitude control problem of variable-structure near-space vehicles (VSNSVs) with time-varying state constraints based on switched nonlinear system. The full states of vehicles are constrained in the bounded sets with asymmetric time-varying boundaries. Firstly, considering modeling uncertainties and external disturbances, an extended state observer (ESO), including two distinct linear regions, is proposed with the advantage of avoiding the peaking value problem. The disturbance observer is utilized to estimate the total disturbances of the attitude angle and angular rate subsystems, which are described in switched nonlinear systems. Then, based on the estimation values, the asymmetric time-varying barrier Lyapunov function (BLF) is employed to construct the active disturbance rejection controller, which can ensure the full state constraints are not violated. Furthermore, to resolve the ‘explosion of complexity’ problem in backstepping control, a modified dynamic surface control is proposed. Rigorous stability analysis is given to prove that all signals of the closed-loop system are bounded. Numerical simulations are carried out to demonstrate the effectiveness of the proposed control scheme.

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Section: Assumption 3 There Exist Positive Constants Hmentioning

confidence: 99%

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Feng

Wang

Liu

et al. 2020

Sensors

Self Cite

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“…The research on time-delay compensator has also developed rapidly [22][23][24][25], such as the output feedback compensator [22], and the predictor compensator [25]. The existing research primarily focuses on linear ADRC, such as the stability analysis of linear ADRC [26], analysis of ADRC for systems with uncertainty and delay [27], and exponential stability analysis of a closed-loop system [28]. However, few theoretical studies are on nonlinear ADRC systems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Fractional Active Disturbance Rejection Speed Control for Stabilization of Hydraulic Turbine Regulating Systems With Mechanical Delay

Liu

Zhang

et al. 2021

IEEE Access

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An improved fractional-order nonlinear active disturbance rejection speed control (FO-NADRC) method is proposed for hydraulic turbine regulating systems (HTRSs) with a mechanical delay. First, the mathematical model of an HTRS with a mechanical time delay is established. Based on the principle of coordinate transformation, the state space equation of an HTRS with a time delay is transformed into the controllable normative mathematical model. Second, a new nonlinear function is proposed for the extended state observer (ESO) that improves the observation accuracy and suppresses the high-frequency oscillation of the HTRS. Third, a new fractional-order state error feedback law (FO-SEFL) is proposed by introducing double adjustable parameters. Fourth, according to the improved ESO and the FO-SEFL, a novel FO-NADRC is designed for the HTRS. Furthermore, the Popov-Lyapunov robust stability analysis method is used to analyze the stability of the hydraulic turbine regulating control systems with mechanical delay. Finally, numerical simulation experiments demonstrate the effectiveness and superiority of the proposed control scheme.

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“…Recently, the problem of the disturbance rejection associated with the systems with input delay is still one of the research focus in control field. In order to improve the disturbance rejection capability in this type of systems, some effective methods had been proposed by Pyrkin et al, 14 Zhang et al, 15 and Ran et al 16 Predictor‐based feedback control was also utilized to reject the external disturbance for the systems with input delay. In the work of Pyrkin et al, 17 the unknown sinusoidal disturbance can be rejected by combining predictor feedback control with an adaptive scheme to identify the frequency of this sinusoidal disturbance signal.…”

Section: Introductionmentioning

confidence: 99%

Prediction schemes for disturbance attenuation of discrete‐time linear systems with input‐delay

Wang

2020

Intl J Robust & Nonlinear

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SummaryIn this article, two predictors are developed to estimate the future state of a discrete‐time linear system with input delay and external disturbance. The ultimate bounds of the state of the closed‐loop system are given when the predictor‐based state feedback control laws are used via the proposed predictors. Based on these expressions, the disturbance attenuation performance is analyzed for the proposed prediction schemes. For constant disturbance, the error between the estimated state and the further state can be eliminated by the controller based on these two predictors. A numerical example is employed to show the effectiveness of the proposed prediction schemes.

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Active disturbance rejection control for uncertain time-delay nonlinear systems

Cited by 97 publications

References 36 publications

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Variable-Structure Near-Space Vehicles with Time-Varying State Constraints Attitude Control Based on Switched Nonlinear System

Nonlinear Fractional Active Disturbance Rejection Speed Control for Stabilization of Hydraulic Turbine Regulating Systems With Mechanical Delay

Prediction schemes for disturbance attenuation of discrete‐time linear systems with input‐delay

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