Adaptive output feedback dynamic surface control of nonlinear systems with unmodeled dynamics and unknown high-frequency gain sign

Xia, Xiaonan; Zhang, Tianping

doi:10.1016/j.neucom.2014.05.061

Cited by 52 publications

(36 citation statements)

References 26 publications

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“…Sometimes, they can also make the closed-loop system unstable. Hence, several different approaches were developed to handle such systems with unmodeled dynamics using backstepping or DSC (Jiang & Hill, 1999;Jiang & Praly, 1998;Xia & Zhang, 2014;Zhang & Lin, 2011;Zhang, Shi, Zhu, & Yang, 2013). Unmodeled dynamics is usually dealt with by using a dynamic signal (Jiang & Praly, 1998;Xia & Zhang, 2014;Zhang & Lin, 2011;Zhang et al, 2013) or a Lyapunov function description (Jiang & Hill, 1999).…”

Section: Introductionmentioning

confidence: 99%

Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics

2017

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Section: Introductionmentioning

confidence: 99%

Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics

2017

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“…Unmodeled dynamics can be effectively dealt with by introducing measurable dynamic signal in the work of Jiang and Praly or a Lyapunov function description in the work of Jiang and Hill . Based on other works, many results had been gotten to control various nonlinear systems with unmodeled dynamics by backstepping or DSC in other works . On the other hand, the systems with input unmodeled dynamics have attracted many scholars' attentions.…”

Section: Introductionmentioning

confidence: 99%

Adaptive control of pure‐feedback nonlinear systems with full‐state time‐varying constraints and unmodeled dynamics

Hua

Zhang

2019

Adaptive Control & Signal

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Summary This paper focuses on the problem of adaptive control for a class of pure‐feedback nonlinear systems with full‐state time‐varying constraints and unmodeled dynamics. By introducing a one‐to‐one nonlinear mapping, the constrained pure‐feedback nonlinear system with state and input unmodeled dynamics is transformed into unconstrained pure‐feedback system. The controller design based on the transformed novel system is proposed by using a modified dynamic surface control method. Dynamic signal and normalization signal are designed to handle dynamical uncertain terms and input unmodeled dynamics, respectively. By adding nonnegative normalization signal into the whole Lyapunov function and using the introducing compact set in the stability analysis, all signals in the whole system are proved to be semiglobally uniformly ultimately bounded, and all states can obey the time‐varying constraint conditions. A numerical example is provided to demonstrate the effectiveness of the proposed approach.

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“…Two methods used to handle unmodeled dynamics were introduced. 29 A Nussbaum gain technique was used to handle the unknown high-frequency gain sign for the systems in the work of Nussbaum. Using dynamic signal to deal with unmodeled dynamics, two adaptive output feedback control schemes were proposed for a class of nonlinear systems with unmodeled dynamics and unmeasured states as well as unknown high-frequency gain.…”

Section: Introductionmentioning

confidence: 99%

Adaptive output feedback control of uncertain nonlinear systems with input delay and output constraint

Kang

Xia

Zhang

2019

Adaptive Control & Signal

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This paper proposes an adaptive neural-network control design for a class of output-feedback nonlinear systems with input delay and unmodeled dynamics under the condition of an output constraint. A coordinate transformation with an input integral term and a Nussbaum function are combined to solve the problem of the input possessing both time delay and unknown control gain. By utilizing a barrier Lyapunov function and designing tuning functions, the adjustment of multiparameters is handled with a single adaptive law. The uncertainty of the system is approximated by dynamic signal and radial basis function neural networks (RBFNNs). Based on Lyapunov stability theory, an adaptive tracking control scheme is developed to guarantee all the signals of the closed-loop systems are semiglobally uniformly ultimately bounded, and the output constraint is not violated. KEYWORDSinput delay, input integral term, output constraint, output feedback control, unmodeled dynamics 972

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Adaptive output feedback dynamic surface control of nonlinear systems with unmodeled dynamics and unknown high-frequency gain sign

Cited by 52 publications

References 26 publications

Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics

Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics

Adaptive control of pure‐feedback nonlinear systems with full‐state time‐varying constraints and unmodeled dynamics

Adaptive output feedback control of uncertain nonlinear systems with input delay and output constraint

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