Adaptive predefined‐time tracking control for high‐order strict‐feedback nonlinear systems with unknown mismatched disturbances

Jia, Fanlin; Huang, Jie; He, Xiao

doi:10.1002/acs.3502

Cited by 6 publications

(2 citation statements)

References 53 publications

(87 reference statements)

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“…It is difficult for these two control methods to obtain a direct relationship between the parameters and the upper limit of convergence time for direct design. To solve this problem, the predefined time control theory is proposed [7] . The predefined time control can accurately express the upper limit of stabilization time in parameters, which can be preset by the user so that the system can complete stability control in a predefined time.…”

Section: Introductionmentioning

confidence: 99%

Predefined time backstepping control of photovoltaic grid connected inverter

Xu,

Ji,

Chen

et al. 2024

J. Phys.: Conf. Ser.

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The large-scale grid connection of photovoltaic (PV) systems creates great hazards to the operation of power equipment and has a great impact on the stability and reliability of power systems. To achieve stable control and flexible management of PV grid connection, a predefined time adaptive backstepping control method based on the predefined boundary is proposed. Based on the predefined boundary time-varying function, the user’s predefined boundary design of the control signal is accomplished to ensure the boundedness of the global signal, which is independent of the initial state of the system. The controller with predefined boundaries is designed based on backstepping control, and the estimation and compensation of perturbations are attained based on adaptive control. The global predefined time stability of the predefined boundary of the closed-loop system is certified using the Lyapunov function. Simulation studies attest to the performance of the predefined time control strategy.

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Section: Introductionmentioning

confidence: 99%

Predefined time backstepping control of photovoltaic grid connected inverter

Xu,

Ji,

Chen

et al. 2024

J. Phys.: Conf. Ser.

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“…It develops a dynamic surface-based backstepping controller for multiagent systems in Zhang and Duan (2019) to reject mismatched disturbances and alleviate the complexity explosion problem. Jia et al (2022) construct a predefined-time controller based on adaptive backstepping method. However, the estimation of convergence time is also not given.…”

Section: Introductionmentioning

confidence: 99%

Predefined-time sliding mode control based on exact time disturbance observer for second-order systems with matched and mismatched disturbances

Cai,

Sun,

Zeng

2024

Transactions of the Institute of Measurement and Control

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This paper’s primary motivation is to present a globally predefined-time sliding mode control (PtSMC) strategy to stabilize a class of second-order systems subjected to matched and mismatched disturbances. To achieve this, the paper proposes a new exact time disturbance observer (DOB) based on a terminal time regulator, which accurately estimates the disturbances within a prescribed time, effectively preventing the system state from escaping to infinity due to high gains and overestimation. In addition, a new predefined-time sliding mode variable with the estimation of DOB is developed to ensure a predefined-time convergence on the sliding mode phase against mismatched disturbances. The proposed DOB-based technique can alleviate the chattering resulting from the use of an overestimated gain, in contrast to the controller without employing a DOB. Furthermore, a predefined-time reaching law is introduced to guarantee a global predefined-time convergence. This paper establishes the stability of the disturbed second-order system under the proposed controller through strict Lyapunov analysis. The novelty of the proposed method lies in its global predefined-time convergence, chattering-reduced properties and robustness against matched and mismatched disturbances. Finally, numerical simulations and application examples validate the proposed methodology’s effectiveness.

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Predefined time formation control for glide multiple aircraft under event‐triggered mechanism

Ji,

Ke,

Song

et al. 2024

Adaptive Control & Signal

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SummaryThis article investigates the event‐triggered predefined time gliding formation control for multiple aircraft based on the leader‐follower mode. For the banked‐to‐turn (BTT) aircraft, The main technical challenge is to realize a predefined time control from the aerodynamic control surfaces to the direction of flight speed under an event‐triggered mechanism. First, under the leader‐follower mode, the desired tracking commands for the leader's trajectory inclination angle and trajectory declination angle are designed, with followers set to track the leader's outputs. Second, for each BTT aircraft, the inner and outer loop control system is constructed, and the virtual angle of attack and flight path angle laws are formulated to decouple the inner‐outer structure. For the outer loop system, the predefined time‐stabilized of trajectory inclination angle and trajectory declination angle is achieved by introducing the time scale function. Concerning the inner‐loop system, a sliding mode surface with predefined time stabilization is constructed, and a predefined time extended state observer (PTESO) is designed to estimate the total disturbances. An event‐triggered predefined time control is proposed for the aerodynamic control surfaces to realize the aircraft's flight direction tracking. Finally, the stability of the closed‐loop system and the avoidance of the Zeno phenomenon for each aircraft is proved using Lyapunov's theory. The simulation results verify the effectiveness of the proposed formation control in the article.

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Adaptive predefined‐time tracking control for high‐order strict‐feedback nonlinear systems with unknown mismatched disturbances

Cited by 6 publications

References 53 publications

Predefined time backstepping control of photovoltaic grid connected inverter

Predefined time backstepping control of photovoltaic grid connected inverter

Predefined-time sliding mode control based on exact time disturbance observer for second-order systems with matched and mismatched disturbances

Predefined time formation control for glide multiple aircraft under event‐triggered mechanism

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