Fixed-time attitude tracking control for rigid spacecraft

Zou, An‐Min; Kumar, Krishna Dev; Ruiter, Anton H. J. de

doi:10.1016/j.automatica.2019.108792

Cited by 100 publications

(47 citation statements)

References 31 publications

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“…A FLS in (14) is utilised to approximate the non-linear function f¯1(X 1 ) on the compact set Ω X 1 . According to Lemma 7, one has…”

Section: Fixed-time Adaptive Fuzzy Ftc Designmentioning

confidence: 99%

“…Its significant feature is that the settling time only relies on the design parameters, not on the initial states of the controlled system. Therewith, the fixed‐time control was also investigated for integrator dynamic system in [11, 12], the rigid spacecraft [13, 14] and so on. Since some external disturbances exist in the system, the state trajectories cannot converge to the equilibrium point.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive fuzzy fault‐tolerant control for non‐linear systems under actuator and sensor faults: the practical fixed‐time stability

Yang

Niu

Zhang

2020

IET Control Theory & Appl

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This study investigates the adaptive fault-tolerate control for strict-feedback non-linear system, in which actuator and sensor faults may happen simultaneously. Moreover, the additive and multiplicative faults are considered, which cover the bias, drift, loss of accuracy, and loss of effectiveness faults. Under the multiple sensor faults, a modified backstepping technique involving in the faulted states is proposed by utilising the fuzzy approximation to the unknown non-linear functions. Later, the adaptive fuzzy fault-tolerant control strategy is designed to ensure the practical fixed-time stability of the closed-loop system. Meanwhile, the convergence time is independent of the initial states of the system, and the control performance can be ensured for arbitrary bounded initial states in this study. Finally, the Buck converter circuit is employed to demonstrate the effectiveness of the proposed fault-tolerant control scheme.

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“…A FLS in (14) is utilised to approximate the non-linear function f¯1(X 1 ) on the compact set Ω X 1 . According to Lemma 7, one has…”

Section: Fixed-time Adaptive Fuzzy Ftc Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy fault‐tolerant control for non‐linear systems under actuator and sensor faults: the practical fixed‐time stability

Yang

Niu

Zhang

2020

IET Control Theory & Appl

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“…Fixed‐time stability requires a controller (observer) to provide some desired control (observation) precision at a given time, independent of the initial conditions. Existing fixed‐time control methods can be broadly classified into two categories: (1) the homogeneous domination approach (see References 9‐11) and (2) the Lyapunov‐based approach (see References 12,13). However, the fixed‐time settling time cannot be preassigned arbitrarily since its upper bound is subject to certain restrictions.…”

Section: Introductionmentioning

confidence: 99%

Prescribed‐time control with explicit reference governor for a class of constrained cascaded systems

Wang

Zhang

2021

Intl J Robust & Nonlinear

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Different from both finite‐time control (where the settling time depends on the initial condition) and fixed‐time control (whose settling time is subject to an upper bound but varies due to uncertainties and nonlinearities), the prescribed‐time control achieves regulation in prescribed finite time, even under uncertain nonlinearities. This article investigates the prescribed‐time regulation problem for a class of cascaded systems with integral form and control input constraints. The establishment of prescribed‐time property consists of the prescribed‐time regulation controller and prescribed‐time explicit reference governor (PT‐ERG), both of which satisfy the prespecified time requirement. For an elegant implementation, the feasibility for the separate design of controller and governor is guaranteed through a developed prescribed‐time cascaded stable theory. For the prescribed‐time controller, the proposed smooth time‐varying controller provides the prescribed‐time convergence based on a residual‐time‐dependent scaling transformation. For the PT‐ERG dealing with the control input constraints, a reference trajectory with a fixed minimum convergence rate provides an elegant compromise between performance and constraints which keeps the constraint satisfied and tracking errors in an invariant set. Both theoretical analysis and numerical simulations verify the effectiveness of the proposed control scheme.

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“…Then, the authors of [24] first presented FTST, under which the convergence time can be predicted in prior and independent of initial states. Then, many adaptive fixed-time control (FTC) schemes were proposed [25][26][27]. The authors of [28] extend FTST to stochastic systems.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered fixed-time adaptive fuzzy control for state-constrained stochastic nonlinear systems without feasibility conditions

Yao

Tan

et al. 2021

Nonlinear Dyn

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The problem of event-triggered fixed-time control (ETFTC) for state-constrained stochastic nonlinear systems is discussed in this article. Different from the Barrier Lyapunov Function (BLF)-based and Integral BLF (IBLF)-based schemes which rely on feasibility conditions (FCs), by introducing nonlinear statedependent functions (NSDFs), the asymmetric timevarying state constraints are handled without FCs . Combining with the fixed-time stable theory (FTST) and dynamic surface control (DSC) technique with fixedtime filter, the fixed-time stability in probability (FT-SP) of the closed-loop system is ensured and the problems of "explosion of complexity" and "singularity" are overcome. Furthermore, the novel fixed-time error compensation signals (FTECSs) are designed to compensate filtering errors, and event-triggered control (ETC) technique is used to save network resources. Simulations also illustrate the effectiveness of the proposed method.

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Fixed-time attitude tracking control for rigid spacecraft

Cited by 100 publications

References 31 publications

Adaptive fuzzy fault‐tolerant control for non‐linear systems under actuator and sensor faults: the practical fixed‐time stability

Adaptive fuzzy fault‐tolerant control for non‐linear systems under actuator and sensor faults: the practical fixed‐time stability

Prescribed‐time control with explicit reference governor for a class of constrained cascaded systems

Event-triggered fixed-time adaptive fuzzy control for state-constrained stochastic nonlinear systems without feasibility conditions

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