Output Regulation for a Class of Uncertain Nonlinear Time-delay Systems by Output Feedback Control

Meng, Guizhi; Ma, Kemao

doi:10.1007/s12555-018-0896-x

Cited by 6 publications

(4 citation statements)

References 16 publications

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“…Remark Different from control methods in References 13,14,30, and 31, the unknown function F i contains all the partial derivatives of the virtual controller a i , so as to approximate F i with a fuzzy logic system, so that the designed virtual controller a i does not contain the partial derivative of a i − 1 . Therefore, this method avoids the “amount of calculation” problem of the backstepping method.…”

Section: Adaptive Fuzzy Control Designmentioning

confidence: 99%

“…With the improvement of adaptive control technology, the backstepping method can be applied to expand the research on output regulation of nonlinear systems. In Reference 13, the output regulation for a class of uncertain nonlinear systems with time‐delay and immeasurable states was concerned. Reference 14 studied the prescribed performance output regulation problem for a class of nonlinear uncertain strict‐feedback systems which are driven by nonlinear exosystems.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions

Jia

LuJunwei

LiYongmin

2021

Adaptive Control & Signal

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This article studies the finite‐time output regulation problem for nonlinear strict‐feedback systems with completely unknown control directions and unknown functions. First, according to the necessary conditions for the solvability of the output regulation problem, the output regulation problem of nonlinear strict‐feedback systems and the external system is transformed into a stabilization problem of nonlinear systems. Second, an internal model with external signals is designed. Third, based on finite time, fuzzy control, output feedback control, and Nussbaum gain functions, the control law is designed so that all signals of the closed‐loop system are the semi‐global practically finite‐time stable (SGPFS), and the tracking error converges to a small neighborhood of the origin in a finite‐time. Finally, the proposed algorithm is applied to the finite‐time tracking problem of Chua's oscillator system.

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Section: Adaptive Fuzzy Control Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions

Jia

LuJunwei

LiYongmin

2021

Adaptive Control & Signal

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“…By utilizing FLSs with adaptive backstepping control, the controllers were designed in state feedback and output feedback form, respectively [16,17]. To solve the output regulation problem of nonlinear systems with unknown nonlinear functions, Meng et al [18,19] design an adaptive fuzzy controller. However, some communication systems and multiagent systems require nite-time control to achieve transient performance and rapid response [20], but the abovedesigned controllers are unsuitable for nite-time control problems.…”

Section: Introductionmentioning

confidence: 99%

“…It should be noted that the nonlinear systems in our paper contain unmeasured information. Because this is also an optimal problem, the internal model and the state observer in [12,13,19] are not applicable. e main challenge of this paper is how to give an appropriate cost functional.…”

Section: Introductionmentioning

confidence: 99%

Observer-Based Finite-Time Inverse Optimal Output Regulation for Uncertain Nonlinear Systems

Meng

2022

Mathematical Problems in Engineering

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This paper deals with the finite-time inverse optimal output regulation problem for a class of uncertain nonlinear systems that are subjected to an exosystem. The nonlinear systems not only contain external disturbances in the exosystem but also take the unknown nonlinear functions and unmeasured states into account. The output regulation problem is first converted into a stabilization problem through the internal model. Then, fuzzy logic systems (FLSs) are employed to approximate the unknown nonlinear functions. An auxiliary system is constructed and, based on the auxiliary system, a fuzzy state observer is designed to estimate the unmeasured states. Furthermore, a novel adaptive fuzzy finite-time inverse optimal output feedback controller and adaptive law are designed by combining backstepping technology, adaptive control technology, finite-time stability theory, and the inverse optimal control method. The control algorithm ensures that all the signals of the closed-loop system are semiglobally practical finite-time stable (SGPFS), so the newly well-defined cost function that is connected with the auxiliary system can be minimized. Finally, the validity of the approach is confirmed by virtue of the simulation results.

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Output regulation problem of a class of pure-feedback nonlinear systems via adaptive neural control

Jia

2021

Journal of the Franklin Institute

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Output Regulation for a Class of Uncertain Nonlinear Time-delay Systems by Output Feedback Control

Cited by 6 publications

References 16 publications

Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions

Adaptive finite‐time control for output regulation of nonlinear systems with completely unknown control directions

Observer-Based Finite-Time Inverse Optimal Output Regulation for Uncertain Nonlinear Systems

Output regulation problem of a class of pure-feedback nonlinear systems via adaptive neural control

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