Adaptive command filtered fixed-time control of nonlinear systems with input quantization

Bo, Xu; Liang, Yanjun; Li, Yuan‐Xin; Hou, Zhongsheng

doi:10.1016/j.amc.2022.127186

Cited by 27 publications

(13 citation statements)

References 39 publications

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“…Arefi et al [41] proposed a neuro-adaptive tracking control technique to guarantee the tracking error in a small neighbourhood around the origin by selecting design parameters properly. Li et al [42] addressed the Nussbaum-type function combined with the fuzzy logic system to ensure the stability of non-linear system and boundedness of all signals. Chen et al [43] presented an adaptive fuzzy command filtered backstepping controller to improve tracking performance for uncertain pure-feedback systems.…”

Section: Lemma 1 [28]: For Any Positive Constants K CImentioning

confidence: 99%

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Full state constrained command filtered output feedback control for the electro‐hydraulic ammunition ramming system

Yin

Nie

Qian

et al. 2022

IET Control Theory & Appl

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A barrier Lyapunov functions-based command filtered output feedback control scheme is presented for the electro-hydraulic ammunition ramming system (EHARS) with position and velocity constraints in this paper. Due to the limitation of compact installation space in ramming mechanism, there remain some immeasurable signals such as the velocity of projectile and pressures in hydro-cylinder; thus, a state observer is designed to estimate the unmeasured states of EHARS. The barrier Lyapunov functions theory is adopted to guarantee position and velocity constraints of projectile are not violated. In order to suppress the complexity of differential explosion in backstepping iteration, command filtered technology and corresponding compensating technique of filtering errors are applied. By the stability theory of Lyapunov, the stability of the closed-loop system and the boundedness of the whole state in EHARS are theoretically proved. Simulation results show prescribed position-tracking accuracy and desired velocity of projectile under different firing angles, which indicates the effectiveness of the proposed method.

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Section: Lemma 1 [28]: For Any Positive Constants K CImentioning

confidence: 99%

“…Li et al. [42] addressed the Nussbaum‐type function combined with the fuzzy logic system to ensure the stability of non‐linear system and boundedness of all signals. Chen et al.…”

Section: Controller Designmentioning

confidence: 99%

Full state constrained command filtered output feedback control for the electro‐hydraulic ammunition ramming system

Yin

Nie

Qian

et al. 2022

IET Control Theory & Appl

View full text Add to dashboard Cite

show abstract

“…">1.Unlike the practical fixed‐time quantized control results in [18–23], the proposed fixed‐time controller can guarantee that the system states converge to zero in fixed‐time. 2.Different from the fixed‐time control schemes in [18–23, 25, 26], some exponential functions are introduced into the virtual controllers to accelerate the convergence rate. With the aid of these exponential functions, the prespecifiable fixed‐time control can be realized.…”

Section: Introductionmentioning

confidence: 96%

“…Compared with the existing fixed‐time quantized control schemes, the main contributions of our paper can be listed as follows: 1.Unlike the practical fixed‐time quantized control results in [18–23], the proposed fixed‐time controller can guarantee that the system states converge to zero in fixed‐time. 2.Different from the fixed‐time control schemes in [18–23, 25, 26], some exponential functions are introduced into the virtual controllers to accelerate the convergence rate.…”

Section: Introductionmentioning

confidence: 99%

“…To tackle this issue, fixed-time stability was introduced in [15][16][17], where the settling time is bounded by a constant. Afterwards, some practical fixed-time control schemes were proposed for quantized nonlinear systems in [18][19][20][21][22][23] with the aid of adding a power integrator, fuzzy logic systems and neural networks. However, it should be pointed out that only boundedness results were achieved in the above references.…”

Section: Introductionmentioning

confidence: 99%

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Prespecifiable fixed‐time control for uncertain nonlinear system with input quantization

Gao

Chen

et al. 2023

IET Control Theory & Appl

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This paper focuses on the global prespecifiable fixed-time control problem of uncertain strict-feedback nonlinear system with input quantization. In contrast to the existing fixedtime control results, the signs of the control gains can be unknown in our paper. Unlike the traditional fixed-time control schemes, some exponential functions are added into the virtual controllers to accelerate the convergence rate. Besides, some dynamic switching functions are also introduced to compensate the unknown control signs. Based on the novel regulate law, the switching functions can be regulated online to ensure the fixed-time stability for the considered system. Furthermore, the settling time can be easily adjusted by selecting the controller parameters. Simulation results are provided to illustrate the effectiveness of the proposed control scheme.

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Adaptive neural practical fixed‐time command filtered control for multi‐input and multi‐output nonlinear systems with dead zones input and unknown control direction

Kang,

Xiaoping Liu,

Wang

2023

Asian Journal of Control

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In this article, under the circumstance of dead zones input and unknown control direction, the adaptive practical fixed‐time control strategy is presented for a general class of multi‐input and multi‐output (MIMO) nonlinear systems. The inherent explosion of computational complexity difficulty is eliminated by adopting a command filter technique and the universal approximation properties of radial basis function neural networks (RBFNNs) are applied to model the unknown nonlinear functions. The difficulties of the dynamic surface method and unknown directions can be handled by invoking error compensation mechanism and Nussbaum‐type functions, respectively. The uniqueness of the presented control scheme is that the tracking system can achieve the fixed‐time stability without relying on the boundedness of dead‐zone parameters. The fixed‐time convergence of the output tracking error and the semiglobally fixed‐time stable of closed‐loop system are assured via the developed adaptive fixed‐time command filtered controller. Finally, a practical example is supplied to further validate the availability of the presented theoretic result.

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Adaptive command filtered fixed-time control of nonlinear systems with input quantization

Cited by 27 publications

References 39 publications

Full state constrained command filtered output feedback control for the electro‐hydraulic ammunition ramming system

Full state constrained command filtered output feedback control for the electro‐hydraulic ammunition ramming system

Prespecifiable fixed‐time control for uncertain nonlinear system with input quantization

Adaptive neural practical fixed‐time command filtered control for multi‐input and multi‐output nonlinear systems with dead zones input and unknown control direction

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