Adaptive fixed-time control for nonlinear systems against time-varying actuator faults

Yu, Maoqun; Wang, Jing; Park, Ju H.; Shi, Kaibo; Shen, Hao

doi:10.1007/s11071-021-07171-y

Cited by 27 publications

(13 citation statements)

References 67 publications

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“…Due to the fact that the total uncertainty τ d in ( 19) is not known in practice, neural networks can be utilized to approximate it. Motivated by [45], one has…”

Section: Adaptive Fixed-time Attitude Control Developmentmentioning

confidence: 99%

Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach

2023

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This paper presents an adaptive constrained attitude control for uncertain spacecraft. Inspired by the concept of nonsingular terminal sliding mode control and funnel control for nonlinear systems, a novel adaptive attitude control is introduced which contains a time-varying gain to handle the constraints imposed on the spacecraft attitude. Indeed, when the attitude trajectory approaches the boundary of the constraint set, the control effort as well as the time-varying gain will increase in order to preclude the trajectory from intersecting the boundary. Then, it is analytically proved that the system trajectories converge to an arbitrary small region around the origin within a fixed time where the smallest upper bound of the convergence time is determined as an independent parameter in the controller. Further, the proposed control scheme is nonsingular without having to use any piecewise continuous function which simplifies stability analysis. These properties distinguish the proposed control scheme from the existing finite/fixed-time attitude controls. Finally, several simulation results confirm the robustness and performance of the proposed control framework.

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“…Due to the fact that the total uncertainty τ d in ( 19) is not known in practice, neural networks can be utilized to approximate it. Motivated by [45], one has…”

Section: Adaptive Fixed-time Attitude Control Developmentmentioning

confidence: 99%

Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach

2023

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“…Therefore, the fault tolerant flight control is particularly important for flight safety. Recently, the faulttolerant control has attracted the global attention of researchers [5][6][7][8][9][10]. To enhance the reliability and availability of the attitude control for tailless aircraft suffering from actuator faults, a multiple time-scale reconfigurable sliding mode control has been proposed in [11], nevertheless, only a linear model was considered.…”

Section: Introductionmentioning

confidence: 99%

Predefined-time anti-saturation fault-tolerant attitude control for tailless aircraft with guaranteed output constraints

et al. 2022

Nonlinear Dyn

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This work investigates the anti-saturation attitude tracking control for the tailless aircraft with guaranteed output constraints, in presence of uncertain inertia parameters, bounded external disturbance, and actuator faults/failures. A predefined-time adaptive backstepping attitude control scheme has been proposed, the main features of this scheme lie in (a) designing a predefined-time filter to deal with the 'explosion of complexity' and singularity problem; (b) introducing a nonlinear state-dependent function to handle the asymmetric time-varying output constraints; (c) compensating for the impact of the actuator faults/failures and input saturation by a nonlinear function and bounded estimation simultaneously. Moreover, the proposed control scheme can ensure all signals in the closed-loop system converge to a residual set around the origin within a predefined time, and this time constant can be set freely by the designer, independently of initial conditions. Article Finally, numerical simulations have been conducted to verify the performance of the proposed predefined-time fault-tolerant control scheme.

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“…This inevitably brings up a problem, that is, the convergence time cannot be accurately settled when the initial states of the system are unknown. To solve such problem, the fixed-time control [25][26][27][28] is proposed skillfully, by which the tracking error can converge into the compact set within a fixed time and its upper bound of convergence time is independent of system initial conditions. The authors in [29] established an adaptive fuzzy feedback fixed-time control mechanism for uncertain highorder nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

“…The authors in [29] established an adaptive fuzzy feedback fixed-time control mechanism for uncertain highorder nonlinear systems. However, the Lyapunov function in [25][26][27][28][29] will be augmented by additional estimation error variables when uncertainties exist in lower-/high-order model, leading to the result that the state tracking errors only can converge to a bounded compact set whose size cannot be set explicitly in advance (spec-ified tracking accuracy) within fixed time. On the other hand, the above results neglect crucial aspects, such as state constraints, whose importance is explained hereafter.…”

Section: Introductionmentioning

confidence: 99%

“…(1) Compared with existing fixed-time control designs [25][26][27][28][29], our proposed method can not only ensure fixed-time convergence, but also can make the tracking errors converge to a compact set whose size can be specified/predefined a priori. (2) As opposed to the existing symmetric time-invariant tan-type BLFs [34,37,38], a new type of high-order tan-type BLF is proposed to guarantee that state variables are confined within some asymmetric time-varying sets all the time, and the initial conditions are inside of corresponding sets.…”

Section: Introductionmentioning

confidence: 99%

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Barrier Lyapunov function-based fixed-time FTC for high-order nonlinear systems with predefined tracking accuracy

Wang

et al. 2022

Nonlinear Dyn

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This article proposes a fixed-time adaptive fault-tolerant control methodology for a larger class of high-order (powers are positive odd integers) nonlinear systems subject to asymmetric time-varying state constraints and actuator faults. In contrast with the state-of-the-art control methodologies, the distinguishing features of this study lie in that: (a) high-order asymmetric time-varying tan-type barrier Lyapunov function (BLF) is devised such that the state variables can be convergent to the preassigned compact sets all the time provided their initial values remain therein, which not only preserves the constraints satisfaction, but warrants the validity of the adopted neural network approximator; (b) the proposed control design ensures the tracking errors converge to specified residual sets within fixed time and makes the size of the convergence regions of tracking errors adjustable a priori by means of a new BLF-based tuning function and a projection operator; (c) a variable-separable lemma is delicately embedded into the control design to extract the control terms in a “linear-like” fashion which not only overcomes the difficulty that virtual control signals appear in a non-affine manner, but also solves the problem of actuator faults. Comparative simulations results finally validate the effectiveness of the proposed scheme.

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Adaptive fixed-time control for nonlinear systems against time-varying actuator faults

Abstract: Noname manuscript No.

Cited by 27 publications

References 67 publications

Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach

Constrained Nonsingular Terminal Sliding Mode Attitude Control for Spacecraft: A Funnel Control Approach

Predefined-time anti-saturation fault-tolerant attitude control for tailless aircraft with guaranteed output constraints

Barrier Lyapunov function-based fixed-time FTC for high-order nonlinear systems with predefined tracking accuracy

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