Predefined‐time tracking control for high‐order nonlinear systems with control saturation

Gong, Youmin; Guo, Yanning; Ma, Guangfu; Ran, Guangtao

doi:10.1002/rnc.6131

Cited by 22 publications

(2 citation statements)

References 54 publications

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“…First, a predefined-time disturbance observer is introduced to estimate unknown disturbance in the system [41].…”

Section: 1 Predefined-time Disturbance Observermentioning

confidence: 99%

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

Wang

et al. 2023

Preprint

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This article proposes a finite-time adaptive control strategy for a class of vibration isolation systems with external disturbances and full-state constraints. Time-varying barrier Lyapunov functions (TBLFs) are designed to achieve suppression performance under limited rattle space. Adaptive laws are applied to deal with parameters uncertainty which is caused by various mass and momentum. By regarding internal coupling terms and external disturbances as lumped disturbances, a predefined-time observer is employed to handle them. Furthermore, command filters are used to remove the burdens of the computational explosion. With the aid of auxiliary system, command filters errors are eliminated. And the actuator saturation is addressed by auxiliary system as well. By using the finite-time Lyapunov stability theory, it proves that all the states converge in finite time. Finally, simulations are given to verify the effectiveness and benefits of the developed control strategy with a trade-off between the improved suppression performance, limited mechanical constraints and robustness.

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“…First, a predefined-time disturbance observer is introduced to estimate unknown disturbance in the system [41].…”

Section: 1 Predefined-time Disturbance Observermentioning

confidence: 99%

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

Wang

et al. 2023

Preprint

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“…Furthermore, a novel predefined‐time stability analysis methodology was put forward in Reference 12, which improves the previously mentioned predefined‐time control theory. For example, several predefined‐time control methodologies were established in Referennces 13–15 for strict‐feedback systems; two predefined‐time control methodologies for high‐order systems were presented in References 16 and 17, and a predefined‐time control methodology for distributed‐order systems was established in Reference 18. For a class of dynamical systems, new predefined‐time stability research was presented in Reference 11.…”

Section: Introductionmentioning

confidence: 99%

Predefined‐time adaptive fuzzy control for a class of stochastic nonlinear uncertain systems

Wu,

Wang,

Zhang

2024

Adaptive Control & Signal

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SummaryThis article is mainly concentrated on the predefined‐time adaptive fuzzy control of stochastic nonlinear systems. To handle nonlinear functions that are uncertain, fuzzy logic systems (FLSs) are used to approximate them. Compared with the existing studies, a Lyapunov‐type criterion for practically predefined‐time stochastic stabilization (PPSS) is put forward to guarantee the stabilization of the system. The stabilization time is merely dependent on one design parameter, which means the parameter can be adjusted to set the stability time.

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Adaptive quantized tracking control for switched nonlinear systems with hysteresis nonlinearity using a novel predefined‐time stability criterion

Jin,

Su,

Lü

et al. 2024

Adaptive Control & Signal

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This article investigates the adaptive tracking control problem for switched nonlinear systems with input quantization and hysteresis nonlinearity. First, the hysteresis nonlinear phenomenon is considered and the Bouc–Wen hysteresis model is employed to address the complexities of controller design. Considering the time‐sampling mechanism may lead to the wastage of communication resources, a hysteresis quantizer is introduced to address this issue. Additionally, a command filter is constructed to relieve complexity explosion issues encountered during the backstepping process. Subsequently, compared with the conventional predefined‐time lemma, a novel predefined‐time lemma is proposed which can effectively adjust system performance even if the predefined‐time parameter is determined. In this case, a novel adaptive predefined‐time control scheme is devised by considering hysteresis properties and input quantization via the application of backstepping, which can track the reference signals within the predefined‐time frame. Finally, the flexibility and effectiveness of the proposed strategy are elaborated through numerical and practical examples.

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Predefined‐time tracking control for high‐order nonlinear systems with control saturation

Cited by 22 publications

References 54 publications

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

Finite-time adaptive control for microgravity vibration isolation system with full-state constraints

Predefined‐time adaptive fuzzy control for a class of stochastic nonlinear uncertain systems

Adaptive quantized tracking control for switched nonlinear systems with hysteresis nonlinearity using a novel predefined‐time stability criterion

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