Fuzzy-Approximation Adaptive Prescribed Performance Output Regulation for Uncertain Nonlinear Systems

Jia, Fujin; Xu, Shengyuan; Zhang, Baoyong; Zhang, Zhengqiang

doi:10.1109/tsmc.2021.3096033

Cited by 8 publications

(9 citation statements)

References 39 publications

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“…Lemma 3 (34). For the switched internal dynamic (7), if Assumption 6 holds, then the state z of the switched internal dynamic is bounded, and the switching law ( 8)-( 10) is well defined, that is, Zeno phenomenon is avoided.…”

Section: Switching Law Designmentioning

confidence: 99%

“…The same assumption has been used in Reference 34. Also, Assumption 6 is needed to ensure the boundedness of z in the switched internal dynamic (7) by designing a switching law.…”

Section: Switching Law Designmentioning

confidence: 99%

“…4 For uncertain nonlinear systems, some PPC methods have been developed. [5][6][7][8] In particular, 8 has achieved asymptotic tracking without approximation structures in the framework of PPC. Based on the advantages of PPC, it is more expected to solve tracking control problem for switched nonlinear systems by developing PPC methods.…”

Section: Introductionmentioning

confidence: 99%

“…In order to solve the above problem, prescribed performance control (PPC) has been proposed 4 . For uncertain nonlinear systems, some PPC methods have been developed 5‐8 . In particular, 8 has achieved asymptotic tracking without approximation structures in the framework of PPC.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Prescribed performance event‐triggered control for MIMO switched nonlinear systems with unstable subsystems

Fan,

Wang,

Long

2023

Intl J Robust & Nonlinear

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This article investigates the problem of prescribed performance event‐triggered tracking control for a class of multi‐input‐multi‐output (MIMO) switched uncertain nonlinear systems, in which the solvability of the prescribed performance event‐triggered control problem for each subsystem is unnecessary. By developing a proper switching law, a prescribed performance event‐triggered low‐complexity state‐feedback control method is set up to solve the problem. Furthermore, the result above is extended to MIMO switched uncertain nonlinear systems with unavailable states by developing a prescribed performance event‐triggered low‐complexity output‐feedback control and a high‐gain observer. Also, Zeno phenomenon for the event‐triggered mechanism and the switching law is excluded. Finally, two examples verify the results obtained.

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Section: Switching Law Designmentioning

confidence: 99%

“…The same assumption has been used in Reference 34. Also, Assumption 6 is needed to ensure the boundedness of z in the switched internal dynamic (7) by designing a switching law.…”

Section: Switching Law Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Prescribed performance event‐triggered control for MIMO switched nonlinear systems with unstable subsystems

Fan,

Wang,

Long

2023

Intl J Robust & Nonlinear

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show abstract

“…Under the systematic framework of backstepping technique, utilizing the approximator‐based FLSs or NNs with adaptive control approaches have developed rapidly, which can estimate the unknown parameters and unknown functions. Up to now, plenty of valuable results have been obtained in References 13‐17. In References 18 and 19, the approximation property of the FLSs was applied to deal with the tracking control problems for strict‐feedback nonlinear systems and uncertain switched nonlinear systems, respectively.…”

Section: Introductionmentioning

confidence: 99%

Adaptive neural finite‐time output‐feedback tracking control for nonlinear stochastic nonstrict‐feedback systems with input saturation

Wang

Shen

2022

Adaptive Control & Signal

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Summary In this paper, an observer‐based adaptive neural output‐feedback control scheme is developed for a class of nonlinear stochastic nonstrict‐feedback systems with input saturation in finite‐time interval. The mean value theorem and the property of the smooth function are applied to cope with the difficulties caused by the existence of input saturation. According to the universal approximation capability of the radial basis function neural network, it will be utilized to compensate the unknown nonlinear functions. Based on the state observer, the finite‐time Lyapunov stability theorem, we propose an adaptive neural output‐feedback control scheme for nonlinear stochastic systems in nonstrict‐feedback form. The developed controller guarantees that the system output signal can track the given reference signal trajectory, and all closed‐loop signals are semi‐globally finite‐time stability in probability. The observer errors and the tracking error can converge to a small neighborhood of the origin. Finally, simulation results demonstrate the effectiveness of the developed control scheme.

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Decentralized Adaptive Funnel Control of Uncertain Large-Scale Interconnected Nonlinear System

Yang

Xia

et al. 2023

Applied Mathematics and Computation

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Fuzzy-Approximation Adaptive Prescribed Performance Output Regulation for Uncertain Nonlinear Systems

Cited by 8 publications

References 39 publications

Prescribed performance event‐triggered control for MIMO switched nonlinear systems with unstable subsystems

Prescribed performance event‐triggered control for MIMO switched nonlinear systems with unstable subsystems

Adaptive neural finite‐time output‐feedback tracking control for nonlinear stochastic nonstrict‐feedback systems with input saturation

Decentralized Adaptive Funnel Control of Uncertain Large-Scale Interconnected Nonlinear System

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