Attitude control of rigid spacecraft with predefined-time stability

Wang, Feng; Miao, Yue; Li, Chaoyong; Hwang, Inseok

doi:10.1016/j.jfranklin.2020.01.001

Cited by 87 publications

(39 citation statements)

References 23 publications

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“…The proposed algorithm (19) is directly studied on a high‐order nonlinear strict‐feedback system with disturbance in (8). It can be seen that system (8) is more general than the first‐order systems, the second‐order systems, or the high‐order chain of integrators in traditional predefined‐time control studies 5‐14,17,21 The proposed algorithm (19) always takes effect on t ≥ 0.…”

Section: Predefined‐time Backstepping Controlmentioning

confidence: 99%

“…No unbounded term is involved when the time tends to T 1 compared with traditional predefined‐time methods 18‐20 If the initial output tracking error satisfies y (0) − y d (0) ≠ 0 and the time‐varying tuning function ρ (t) is selected as (14), then according to (26), the upper bound of settling time T 1 is also exactly the system settling time under the proposed algorithm (19), so T 1 is not conservatively estimated compared with traditional predefined‐time algorithms 3‐14 The only parameter in algorithm (19) is the predefined‐time T 1 .…”

Section: Predefined‐time Backstepping Controlmentioning

confidence: 99%

“…On the basis of Lyapunov‐like conditions for ensuring dynamic systems to exhibit predefined‐time stability or predefined‐time boundedness, many predefined‐time controllers were designed for various systems, for example, nonlinear second‐order systems, 6‐8 nonholonomic systems, 9 chaotic systems, 10,11 rigid spacecrafts, 12 robotic manipulators 13,14 as well as first‐order and second‐order multi‐agent systems 15,16 . However, the predefined‐time controllers derived on the basis of Lyapunov analysis 3‐14 may provide conservative estimate of upper bounds of system convergence time, especially for high‐order systems. The real convergence time may be much smaller than the estimated upper bound.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Predefined‐time backstepping control for a nonlinear strict‐feedback system

Liu

Hou

et al. 2021

Intl J Robust & Nonlinear

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Two novel predefined‐time control algorithms for a nonlinear strict‐feedback system are proposed in this short communication. It is required that the upper bound of system convergence time is exactly a positive constant parameter in each algorithm, and it can be selected arbitrarily by users. Composite state tracking errors are introduced to the backstepping design process by using some novel smooth time‐varying tuning functions. In order to address the problem of explosion of complexity in the first algorithm, the second algorithm extends the predefined‐time control strategy to a dynamic surface control (DSC) case. Furthermore, the proposed predefined‐time DSC algorithm can guarantee global stability rather than semi‐global stability for the closed‐loop system compared with traditional DSC algorithms. Simulation results show the effectiveness of the two control schemes.

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Section: Predefined‐time Backstepping Controlmentioning

confidence: 99%

Section: Predefined‐time Backstepping Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Predefined‐time backstepping control for a nonlinear strict‐feedback system

Liu

Hou

et al. 2021

Intl J Robust & Nonlinear

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“…Recently, the nonsmooth/finite‐time control approaches 17 (the control law is continuous but not Lipschitzian continuous) has attracted many attentions in the literature due to its finite‐time convergence property and good disturbance rejection ability 18 . Motivated by this, based on the model features of attitude system, the finite‐time/fixed‐time attitude controllers were proposed in many works 19‐26 …”

Section: Introductionmentioning

confidence: 99%

On event‐triggered nonsmooth attitude tracking controller for a rigid spacecraft

Zhu

2021

Intl J Robust & Nonlinear

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This article focuses on the problem of finite‐time attitude tracking control for a rigid spacecraft with event‐triggered inputs. The existing event‐based attitude control methods are developed from the smooth control law and can only provide at best Lipschitzian exponentially convergent. Because the nonsmooth control law shows a faster convergent rate and better control performance, a new event‐triggered nonsmooth attitude tracking controller is proposed through the emulation method of a continuous‐time finite‐time attitude controller. With the aid of Lyapunov theory and finite‐time stability lemma, the stability analysis of the closed‐loop system is given and the event‐triggered control system is Zeno‐free. Like the case of a continuous‐time nonsmooth attitude controller, it is proved that the event‐triggered nonsmooth attitude controller maintains a better disturbance rejection ability. Finally, some simulation results are given to verify the theoretical results.

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“…Predefined-time sliding mode controllers for dynamic systems were designed in [36][37][38]. Subsequently, the predefined-time control was used for controlling the attitude of rigid spacecraft and tracking robotic manipulators in [39,40]. Besides, a novel predefined-time consensus protocol was proposed in [41], which ensures a predefinedtime consensus for static topologies.…”

Section: Introductionmentioning

confidence: 99%

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

Liang

Wei

Zhang

et al. 2021

Mathematical Problems in Engineering

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To intercept the maneuvering target through multimissile cooperation, predefined-time cooperative guidance (PTCG) law is presented with constraints including the impact time and the line-of-sight (LOS) angle. In order to achieve simultaneous interception, we propose a PTCG law in the LOS direction based on a predefined-time consensus protocol, which guarantees the achievement of consensus on each missile’s impact time within the predefined time. Furthermore, to ensure the predefined-time convergence of the LOS angle and the predefined-time convergence of the LOS angular rate, a PTCG law with a fixed-time disturbance observer (FxTDO) is presented in the normal direction of the LOS. Compared with the traditional finite-time or fixed-time cooperative guidance laws, the proposed PTCG law predefines the upper bound of the settling time as an explicit parameter. Finally, the simulation results of the PTCG law verify the efficiency of the proposed method.

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Attitude control of rigid spacecraft with predefined-time stability

Cited by 87 publications

References 23 publications

Predefined‐time backstepping control for a nonlinear strict‐feedback system

Predefined‐time backstepping control for a nonlinear strict‐feedback system

On event‐triggered nonsmooth attitude tracking controller for a rigid spacecraft

Cooperative Guidance Law with Predefined-Time Convergence for Multimissile Systems

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