2020 **Abstract:** Summary
In this article, the fixed‐time attitude tracking problem for rigid spacecraft is investigated based on the adding‐a‐power‐integrator control technique. First, a fixed‐time attitude tracking controller is designed to guarantee fixed‐time convergence of tracking errors. Then, by considering the presence of random disturbance and actuator faults, an adaptive fault‐tolerant attitude tracking controller is designed to guarantee tracking errors converge to a residual set of zero in a fixed time. The complet…

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“…Moreover, there is just one point where its derivative is zero, so this stagnation point ${c}^{\ast}={\left(\alpha /\beta \right)}^{\frac{1}{q-p}}$ must be the minimum point of the function and ${T}_{r}\left({c}^{\ast}\right)\le {T}_{r}\left(1\right)$. Therefore, it is proved for the first time that a smaller upper bound of convergence time can be obtained under conditions in Lemma 1, and this time is smaller than the time revealed by the existing fixed‐time control schemes 38 …”

confidence: 89%

“…Moreover, there is just one point where its derivative is zero, so this stagnation point ${c}^{\ast}={\left(\alpha /\beta \right)}^{\frac{1}{q-p}}$ must be the minimum point of the function and ${T}_{r}\left({c}^{\ast}\right)\le {T}_{r}\left(1\right)$. Therefore, it is proved for the first time that a smaller upper bound of convergence time can be obtained under conditions in Lemma 1, and this time is smaller than the time revealed by the existing fixed‐time control schemes 38 …”

confidence: 89%

“…The past decades have witnessed a rapid advance on theories of rigid‐body attitude control owing to its appealing advantages and fruitful applications in a broad range of areas, such as spacecraft, 1,2 unmanned aerial vehicles, 3,4 underwater vehicles 5,6 and so forth. The basic stabilization and tracking issues for rigid‐body attitude systems have been intensively addressed 7,8 and many fundamental results have been reported focusing on some problems, such as uncertainty, 4 actuator faults, 5 and state constraints 1,2 . Besides these issues, however, another benchmark issue to control a real‐world plant is also of concern, that is, guaranteeing a certain level of system performance, especially when the considered system is subject to some practical constraints such as control saturation.…”

confidence: 99%

“…Recently, to overcome the weakness of finite‐time algorithm, fixed‐time stability concept that requires the convergence time of a finite‐time stable system being bounded independently of initial conditions, was first introduced in Reference 24 and further studied in References 25 and 26. Such stability offers a new perspective to address the finite‐time control problems and has activated numerous excellent results, such as fixed‐time control of linear systems, 27,28 nonlinear systems, 29‐32 multi‐agent systems, 33,34 and spacecraft, 35 to name a few. As for fixed‐time stabilization of nonholonomic systems, some interesting results have also recently been reported in References 36‐38.…”

confidence: 99%