Adaptive disturbance attenuation via output feedback for nonlinear systems with polynomial-of-output growth rate

Shang, Fang; Liu, Yungang

doi:10.1080/00207179.2013.852248

Cited by 13 publications

(12 citation statements)

References 17 publications

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“…On the other hand, the controlled system is usually affected by various types of uncertain factors, and one can consult References for the manipulation of unknown parameters and external disturbances. It is worth noticing that expensive sensors, physical difficulties, and effects of noises could make some state variables unapplicable, so the designer has to reconstruct them appropriately, where the systematic methodology can be found in the books .…”

Section: Introductionmentioning

confidence: 99%

Output feedback stabilization of time‐delay nonlinear systems with unknown continuous time‐varying output function and nonlinear growth rate

Sun

Xing

Chen

2020

Intl J Robust & Nonlinear

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Summary This article addresses the problem of global output feedback stabilization for a class of time‐varying delay nonlinear systems with polynomial growth rate. The systems under investigation possess two remarkable features: the output is perturbed by an unknown sensitivity function that is not differentiable but continuous, and the nonlinearities are bounded by a polynomial function of the output multiplied by unmeasurable state variables. The new full‐order observer is established by introducing a dynamic gain and filtering unknown nonlinearities and time‐varying delay. With the help of the transformation skill and the reasonable combination of several systems, this article proposes a linear output feedback controller with the dynamic gain and completes the performance analysis based on the construction of two integral Lyapunov functions. Finally, a simulation example is presented to demonstrate the effectiveness of control strategy.

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Section: Introductionmentioning

confidence: 99%

Output feedback stabilization of time‐delay nonlinear systems with unknown continuous time‐varying output function and nonlinear growth rate

Sun

Xing

Chen

2020

Intl J Robust & Nonlinear

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“…Based on Assumption , system considered in this paper is a lower‐triangular nonlinear system, and the nonlinear term f i admits a growth rate depending on an output polynomial function with given power s . Therefore, Assumption is reasonable . Compared with the assumptions of the nonlinear term in the works of Qian et al and Sun et al, Assumption here makes the nonlinear features more apparent.…”

Section: Introductionmentioning

confidence: 86%

Output feedback tracking control for lower‐triangular nonlinear time‐delay systems with asymmetric input saturation

Liu

Zhang

2020

Intl J Robust & Nonlinear

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In this paper, the problem of output feedback tracking control is investigated for lower-triangular nonlinear time-delay systems in the presence of asymmetric input saturation. A novel design program based on a dynamic high gain design approach is proposed to construct an output feedback tracking controller. The innovation here is that the problem of constructing tracking controller can be transformed into the problem of constructing two dynamic equations, with one being utilized to deal with the nonlinear terms and the other one being applied to analyze the influence of asymmetric input saturation. It is proved by an appropriate Lyapunov-Krasovskii functional that the proposed tracking controller subject to saturation can ensure that all the signals of the closed-loop system are globally bounded and the tracking error is prescribed sufficiently small when time is long enough. A practical example is given to illustrate the effectiveness of the proposed method. K E Y W O R D Sdynamic gain controller, input saturation, nonlinear systems, output feedbackInt J Robust Nonlinear Control. 2020;30:3471-3483. wileyonlinelibrary.com/journal/rnc

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“…And the problem of almost disturbance decoupling for nonlinear systems has received considerable attention during the past decades. Several researchers have presented various approaches for the problems of disturbance attenuation of nonlinear systems with different forms and assumptions in [11][12][13][14][15]. For a class of nonlinear systems depending on unmeasured states with an unknown constant or polynomial-of-output growth rate, the problems of adaptive disturbance attenuation via output feedback were considered in [13,15].…”

Section: Introductionmentioning

confidence: 99%

“…Several researchers have presented various approaches for the problems of disturbance attenuation of nonlinear systems with different forms and assumptions in [11][12][13][14][15]. For a class of nonlinear systems depending on unmeasured states with an unknown constant or polynomial-of-output growth rate, the problems of adaptive disturbance attenuation via output feedback were considered in [13,15]. However, up to now, for a class of feedforward uncertain nonlinear systems with linearly bounded unmeasurable states, the problem of global disturbance attenuation by output feedback has seldom been studied.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Disturbance Attenuation via Output Feedback for Uncertain Nonlinear Systems with Output and Input Depending Growth Rate

Zhang

2014

Mathematical Problems in Engineering

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The problem of output feedback disturbance attenuation is investigated for a class of uncertain nonlinear systems. The uncertainties of the considered systems are bounded by unmeasured states with growth rate function of output and input multiplying an unknown constant. Based on a dynamic gain observer, an adaptive output feedback controller is proposed such that the states of the closed-loop system are globally bounded, and the disturbance attenuation is achieved in theL2-gain sense. An example is provided to demonstrate the effectiveness of the proposed design scheme.

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Adaptive disturbance attenuation via output feedback for nonlinear systems with polynomial-of-output growth rate

Cited by 13 publications

References 17 publications

Output feedback stabilization of time‐delay nonlinear systems with unknown continuous time‐varying output function and nonlinear growth rate

Output feedback stabilization of time‐delay nonlinear systems with unknown continuous time‐varying output function and nonlinear growth rate

Output feedback tracking control for lower‐triangular nonlinear time‐delay systems with asymmetric input saturation

Disturbance Attenuation via Output Feedback for Uncertain Nonlinear Systems with Output and Input Depending Growth Rate

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