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It is shown that the obtained controllers guarantee the closed-loop systems being globally finite-time stable.
The globally finite-time tracking control strategy is adopted driving an UUV to track a predefined trajectory.
Based on stochastic finite-time stability theorem, it is proved that the closed-loop system is globally finite-time stable in probability.
The aim of this paper is to design a globally robust and globally finite-time convergent attitude controller for a rigid spacecraft.
With the addition of the sliding mode and using Lyapunov theory for non-autonomous systems, one can formally prove that the developed OSG law is globally finite-time stable to unknown but bounded perturbations.
First, we use the generalized adding a power integrator and the nested saturation methods to design a saturated homogeneous state feedback controller which globally finite-time stabilizes the nonlinear systems.
Finally, by substituting the estimated states into the state feedback stabilizer, it can be guaranteed that the closed-loop system is globally finite-time stable, which leads to a design process satisfying the separation principle.
This paper considers the problem of designing globally finite-time convergent observers for a class of nonlinear systems with time-varying and output-dependent coefficients, which make the existing design approaches inapplicable.
Then, based on the homogeneous domination approach, we relax the linear growth condition to a polynomial one and construct decentralized controllers to render the nonlinear system semi-globally finite-time stable.
In this paper, a globally robust finite time control law is proposed to solve this problem.
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Justyna Jupowicz-Kozak
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