Adaptive Neural Finite-Time Control of Non-Strict Feedback Nonlinear Systems With Non-Symmetrical Dead-Zone

Cai, Mingjie; Shi, Ping‐Ping; Yu, Jinpeng

doi:10.1109/tnnls.2022.3178366

Cited by 14 publications

(7 citation statements)

References 21 publications

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“…In this section, to illustrate the efficiency of the proposed adaptive control method, an electromechanical system, 24,44,46,47,49,[61][62][63][64][65][66] , that is, a permanent magnet brush dc motor system, shown in Figure 1, is considered as an example.…”

Section: Simulation Results Of the Electromechanical Systemmentioning

confidence: 99%

Adaptive finite time command filtered backstepping control design for a class of uncertain full state constrained strict‐feedback nonlinear systems

Soukkou

Tadjine

Mokhtar

2023

Intl J Robust & Nonlinear

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This article investigates an adaptive finite time command filtered backstepping control design for a class of uncertain full state constrained strict‐feedback nonlinear systems. The proposed adaptive control strategy is constructed by combining the barrier Lyapunov functions (BLFs), the adaptive command filtered backstepping control method and the finite time control theory. The BLFs are utilized to overcome the violation of the full state constraints. The proposed adaptive control approach is introduced to avoid the problem of the explosion of complexity and the compensating signals are designed to eliminate the influence of the filtering errors caused by the command filters. Moreover, based on the Lyapunov stability theory, it is proved that all the signals of the closed‐loop system are practical finite time stable and the full state constraints are not violated. To verify the efficiency of the proposed adaptive control scheme, simulation results are provided for electromechanical system.

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Section: Simulation Results Of the Electromechanical Systemmentioning

confidence: 99%

Adaptive finite time command filtered backstepping control design for a class of uncertain full state constrained strict‐feedback nonlinear systems

Soukkou

Tadjine

Mokhtar

2023

Intl J Robust & Nonlinear

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“…Remark 2. In the design of virtual control law 𝛼 1 (33), Assumption 1 is applied, which can be met by utilizing a command filter. In the design of FFTESOs ( 14) and ( 25), Assumption 2 is applied.…”

Section: Ftcbc Design and Stability Analysismentioning

confidence: 99%

“…To suppress these adverse effects, large control gains should be set to provide sufficient control effort, which may cause oscillations [29,30]. An effective approach to overcome this problem is to design composite control schemes utilizing fuzzy logic systems [31,32], neural networks [33], reinforcement learning [34,35], and disturbance observers for disturbance compensation. Among these techniques, the extended state observer (ESO), which can estimate the lumped disturbance with little model information, has been successfully implemented in various fields.…”

Section: Introductionmentioning

confidence: 99%

Enhanced command filtered control with extended state observer for dual‐motor servo mechanisms considering backlash and friction

Wang,

Liu,

Zhang

et al. 2024

IET Control Theory & Appl

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A dual‐motor servo mechanism is a high‐order and strong‐coupling system with unknown nonlinearity, which brings challenges to controller design to realize high‐performance tracking and synchronization. This article proposes a finite‐time command filtered control strategy to address this problem. In tracking control design, finite‐time command filters are adopted to obtain the derivatives of virtual controllers, and the “explosion of complexity” problem in backstepping is thus solved. An improved compensation system is designed to reduce filtering errors. The tracking control is developed based on the combination of finite‐time control and command filtered approach. Moreover, to deal with unknown nonlinearities and uncertainties, fast finite‐time extended state observers are developed to observe lumped disturbances for the load and motor, respectively. In synchronization control design, two opposite control actions are developed using the speed difference to force two motors to rotate synchronously. The finite‐time convergence of the tracking and synchronization errors is proved. The efficiency of the proposed control strategy is verified via experiments conducted on a dual‐motor servo turntable.

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“…Remark 2: Assumption 1 implies that for any ȳi ∈ R i and t ∈ [0, +∞), there must exist some compact set Ω i ⊂ R i such that ȳi ∈ Ω i , which makes it feasible to introduce fuzzy logic systems to deal with the unknown nonlinearity. Assumptions 2 and 3 are used in most existing results [25], [28], [31], [45], [46]. Assumption 4 can be seen as a generalized Lipschitz condition which is less restrictive as compared with that in [41], [42].…”

Section: Assumptions and Lemmasmentioning

confidence: 99%

Adaptive Fuzzy Tracking Control with Global Prescribed-Time Prescribed Performance for Uncertain Strict-Feedback Nonlinear Systems

Mao¹,

Wu²,

Liu³

et al. 2022

Preprint

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Adaptive fuzzy control strategies are established to achieve global prescribed performance for uncertain strictfeedback nonlinear systems with prescribed time. Firstly, a class of prescribed-time prescribed performance function is designed to quantify the transient and steady performance constraints of the tracking error. Secondly, based on dynamic surface control methods, controllers with or without approximating structures are established to guarantee that the tracking error satisfies prescribed transient performance and converges into a prescribed bounded set within prescribed time. In particular, the settling time and initial value of the prescribed performance function are completely independent of initial conditions of the tracking error and system parameters, which improves existing results. Moreover, with a novel Lyapunov-like energy function, not only the differential explosion problem frequently occurring in backstepping techniques is solved, but the drawback of the semiglobal boundedness of tracking error induced by dynamic surface control can be overcome. The validity and effectiveness of the main results are verified by numerical simulations on practical examples.

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Adaptive Neural Finite-Time Control of Non-Strict Feedback Nonlinear Systems With Non-Symmetrical Dead-Zone

Cited by 14 publications

References 21 publications

Adaptive finite time command filtered backstepping control design for a class of uncertain full state constrained strict‐feedback nonlinear systems

Adaptive finite time command filtered backstepping control design for a class of uncertain full state constrained strict‐feedback nonlinear systems

Enhanced command filtered control with extended state observer for dual‐motor servo mechanisms considering backlash and friction

Adaptive Fuzzy Tracking Control with Global Prescribed-Time Prescribed Performance for Uncertain Strict-Feedback Nonlinear Systems

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