Journal ArticleDOI
Fixed-Time Attitude Control for Rigid Spacecraft With Actuator Saturation and Faults
TLDR
This brief investigates the finite-time control problem associated with attitude stabilization of a rigid spacecraft subject to external disturbance, actuator faults, and input saturation and develops a novel fixed-time sliding mode surface, and the settling time of the defined surface is shown to be independent of the initial conditions of the system.Abstract:
This brief investigates the finite-time control problem associated with attitude stabilization of a rigid spacecraft subject to external disturbance, actuator faults, and input saturation. More specifically, a novel fixed-time sliding mode surface is developed, and the settling time of the defined surface is shown to be independent of the initial conditions of the system. Then, a finite-time controller is derived to guarantee that the closed-loop system is stable in the sense of the fixed-time concept. The actuator-magnitude constraints are rigorously enforced and the attitude of the rigid spacecraft converges to the equilibrium in a finite time even in the presence of external disturbances and actuator faults. Numerical simulations illustrate the spacecraft performance obtained using the proposed controller.read more
Citations
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Journal ArticleDOI
Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks
TL;DR: It is shown by theoretic proof that the estimation bound of the settling time given in this paper is less conservative and more accurate compared with the classical results.
Globally stabilizing saturated attitude control in the presence of bounded unknown disturbances
TL;DR: In this article, a smooth attitude-stabilizing control law is derived from which known limits on the control authority of the system are rigorously enforced, and unknown disturbance torques, assumed to be of lesser magnitude than the control limits, are included in the formulation.
Journal ArticleDOI
Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
TL;DR: Theoretical analysis proves that under the presented control strategy, the closed-loop system is practically fixed-time stable, and the tracking error converges to a small neighborhood of the origin within a fixed- time interval, in which the convergence time has no connection with the initial states of the system.
Journal ArticleDOI
Adaptive Nonsingular Fixed-Time Attitude Stabilization of Uncertain Spacecraft
TL;DR: An adaptive fixed-time attitude stabilization for uncertain rigid spacecraft with inertia uncertainties, external disturbances, actuator saturations, and faults is addressed by employing an exponential function in the controller design to shorten the time during which the system states reach the sliding mode surface.
Journal ArticleDOI
Fixed-Time Attitude Tracking Control for Spacecraft With Input Quantization
TL;DR: A novel fixed-time disturbance observer is designed to estimate unknown disturbances and a fixed- time controller is constructed, which can guarantee system states converge to a neighborhood of origin in fixed time.
References
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Journal ArticleDOI
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables
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Finite-Time Stability of Continuous Autonomous Systems
TL;DR: It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related and converse Lyap Unov results can only assure the existence of continuous Lyap unov functions.
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Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
TL;DR: Two types of nonlinear control algorithms are presented for uncertain linear plants, stabilizing polynomial feedbacks that allow to adjust a guaranteed convergence time of system trajectories into a prespecified neighborhood of the origin independently on initial conditions.
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Continuous finite-time stabilization of the translational and rotational double integrators
TL;DR: A class of bounded continuous time-invariant finite-time stabilizing feedback laws is given for the double integrator because Lyapunov theory is used to prove finite- time convergence.
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Geometric homogeneity with applications to finite-time stability
TL;DR: A result relating regularity properties of a homogeneous function to its degree of homogeneity and the local behavior of the dilation near the origin makes it possible to extend previous results on homogeneous systems to the geometric framework.