Fuzzy Robust Constrained Control for Nonlinear Systems With Input Saturation and External Disturbances

Yan, Xiaohui; Chen, Mou; Feng, Gang; Wu, Qingxian; Shao, Shuyi

doi:10.1109/tfuzz.2019.2952794

Cited by 58 publications

(25 citation statements)

References 48 publications

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“…e gain variations of the controller and the stability analysis of the closed-loop control system are investigated. Yan et al [30] reported a high-order disturbance observer (HODO)-based adaptive fuzzy tracking controller for nonlinear systems with saturation nonlinearity, uncertainties, and external disturbances. A numerical simulation of a two-stage chemical reactor shows the effectiveness of the developed control strategy.…”

Section: Introductionmentioning

confidence: 99%

An Embedded Linear Model Three-Dimensional Fuzzy PID Control System for a Bionic AUV under Wave Disturbance

Lyu

et al. 2022

Mathematical Problems in Engineering

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This study provides a new embedded linear model (ELM) three-dimensional fuzzy PID control method for a bionic autonomous underwater vehicle (AUV), which is disturbed by ocean waves. The uncertainty of the ocean waves will make it difficult for the AUV to achieve good sailing quality, especially near the sea surface. In view of this problem, an ELM fuzzy PID controller, which adopts three-dimensional fuzzy control rules, is designed. In the ELM fuzzy PID controller, a linear model of AUV is established in order to actively perceive the effect of waves on AUV. Hence, the wave disturbance can be reflected in the control signal earlier and faster. Finally, three simulations are carried out to verify the control effect of the ELM fuzzy PID controller. An ocean wave disturbance model is established in order to simulate the force and the moment acting on the AUV. The results imply that compared with the classical PID controller and normal fuzzy PID controller, the ELM fuzzy PID controller can significantly enhance the stability of AUV and make the response faster and overshoot smaller.

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Section: Introductionmentioning

confidence: 99%

An Embedded Linear Model Three-Dimensional Fuzzy PID Control System for a Bionic AUV under Wave Disturbance

Lyu

et al. 2022

Mathematical Problems in Engineering

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“…Traditional methods suffer from this problem, 17‐19 which requires the recursive virtual control to be redesigned. Hence, the method in References 20,21 adopts the dynamic surface control approach to avoid the explosion of complexity. However, filter errors are introduced, which may lead to the deterioration of control performance.…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the proposed control scheme might exceed the implementation requirement and become infeasible. Typical input saturation includes symmetric and asymmetric constraints 18,21,26 . To deal with the impact of input saturation, the method in Reference 27 introduces a hyperbolic tangent function to approximate the saturation function, where the control signal is guaranteed to be bounded in a predetermined range.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive control of uncertain nonlinear systems with unmodeled dynamics using command filter

Yang

Tang

Zou³

et al. 2021

Intl J Robust & Nonlinear

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This article proposes a robust adaptive controller design method for strict feedback nonlinear systems with unmodeled dynamics and input saturation. By using command filters, the explosion of complexity is obviated. The influence of filter errors bought in by command filters is eliminated by introducing compensating signals. Moreover, by skillfully constructing an nth‐order auxiliary dynamic system, the effect of input saturation is avoided, where the disadvantages of conventional methods based on the hyperbolic tangent function are overcome. To tackle the effect of unmodeled dynamics which can destroy the performance and even destabilize the system, based on input‐to‐state stability theory, a dynamic signal is designed. Finally, the Lyapunov theory‐based stability analysis proves that all the closed‐loop signals are uniformly ultimately bounded. The effectiveness of the proposed controller design scheme is verified in simulation experiments.

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“…Therefore, there is important theoretical and applicable value to investigate the nonlinear control systems under the influence of interference 42‐46 . Many disturbance estimation technologies have been reported in the literatures 47‐50 such as the well‐known extended state observer (ESO), 51 the disturbance and uncertainty estimator, 52 the DO, 53,54 the finite‐time DO, 55 the generalized proportional integral observer, 56 the higher‐order observer, 57 and the extended state high‐gain observer 58 . ESO and finite‐time DO are the most commonly used weapons that are effective in the anti‐disturbance composite control of nonlinear chained systems and mechanical systems.…”

Section: Introductionmentioning

confidence: 99%

Tracking controllers of nonlinear output‐constrained surface ships subjected to external disturbances

Zhang

Tian

2021

Adaptive Control & Signal

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Summary In this article, the adaptive and disturbance‐observer‐based (DO‐based) finite‐time tracking controllers are simultaneously considered for a surface vessel with output constraints. Two types of barrier Lyapunov functions (BLFs) are employed to deal with output constraints. The adaptive tracking controller is developed by elaborately applying tan‐type BLF and adaptive control technology, and the finite‐time trajectory tracking controller is rigorously proposed by the comprehensive application of log‐type BLF and finite‐time DO. Under these two controllers, the specified output constraints can be realized and the closed‐loop error systems are semi‐globally asymptotically stable. Simulation results are presented in detail to demonstrate the effectiveness of the two designed control strategies.

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Fuzzy Robust Constrained Control for Nonlinear Systems With Input Saturation and External Disturbances

Cited by 58 publications

References 48 publications

An Embedded Linear Model Three-Dimensional Fuzzy PID Control System for a Bionic AUV under Wave Disturbance

An Embedded Linear Model Three-Dimensional Fuzzy PID Control System for a Bionic AUV under Wave Disturbance

Robust adaptive control of uncertain nonlinear systems with unmodeled dynamics using command filter

Tracking controllers of nonlinear output‐constrained surface ships subjected to external disturbances

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