Robust adaptive control of a class of nonlinear systems with unknown dead-zone

Wang, Xingsong; Su, Chun‐Yi; Hong, Henry

doi:10.1016/j.automatica.2003.10.021

Cited by 527 publications

(290 citation statements)

References 9 publications

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“…Remark 1. Assumptions (A1) and (A2) are the actual physical attributes of a real industrial deadzone and is adopted in the literature [6]. Therefore, the saturation function given by (4) can be shown to have an upper bound by closely analysing Equation (5).…”

Section: The Problem Setup: Dynamics Of a Non-symmetrical Deadzone Nomentioning

confidence: 99%

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Robust Adaptive Control for a Class of Systems with Deadzone Nonlinearity

Ahmad¹,

Alnaser²,

Sultan³

et al. 2015

ICA

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This paper presents a robust adaptive control scheme for a class of continuous-time linear systems with unknown non-smooth asymmetrical deadzone nonlinearity at the input of the plant. The methodology is applied to handle input deadzone as well as unmeasurable disturbances simultaneously in strictly matched systems. The proposed controller robustly cancels any residual distortion caused by the inaccurate deadzone cancellation scheme. The scheme is shown to successfully cancel the deadzone's deleterious effect as well as eliminate other unmeasurable disturbances within the span of the input. The new controller ensures the global stability of all states and adaptations, and achieves asymptotic tracking. The asymptotic stability of the closed-loop system is proven by Lyapunov arguments, and simulation results confirm the efficacy of the control methodology.

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Section: The Problem Setup: Dynamics Of a Non-symmetrical Deadzone Nomentioning

confidence: 99%

“…Both approaches show clear improvement in reducing the tracking error. In [6], a new adaptive controller of linear or nonlinear systems with deadzone is introduced without constructing a deadzone inverse. Global and asymptotic tracking was achieved and simulation results were presented.…”

Section: Introductionmentioning

confidence: 99%

Robust Adaptive Control for a Class of Systems with Deadzone Nonlinearity

Ahmad¹,

Alnaser²,

Sultan³

et al. 2015

ICA

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“…The operator D(v(k)) has been described in detail by (Corradini & Orlando,2002;Tao & Kokotovic, 1994;X.-S. Wang et al, 2004;Oh & Park, 1998;Koo, 2001).The parameters of D(v(k)) are specified by the width 2d of the dead zone and the slop m of the response outside the dead zone. In this case, equation (12) can be written as :…”

Section: Case 2: Speed Governor Dead Zone Is Presentmentioning

confidence: 99%

“…Reference (Tao & Kokotovic, 1994;X.-S. Wang et al, 2004) proposed adaptive schemes with and without dead zone inverse scheme, respectively, to track the error caused by the dead zone effect to zero. In the past decade, fuzzy logic controllers (FLC) have been developed successfully for analysis and control of nonlinear systems (Lee, 1990).…”

Section: Introductionmentioning

confidence: 99%

A Two-Layered Load and Frequency Controller of a Power System

Masiala¹,

Ghribi²,

Kaddouri³

2012

Fuzzy Controllers- Recent Advances in Theory and Applications

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“…Furthermore, these nonsmooth nonlinearities in such actuators give rise to undesirable inaccuracy or oscillations or even lead to instability, whose parameters are often unknown and may vary with time. Thus, the study of dead-zone is particularly important when the expected accuracy of the dynamical system is high, and the control problem of these nonsmooth nonlinearities has attracted considerable attention of a number of researchers over the past years [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Robust Adaptive Fuzzy Control of Uncertain Nonlinear Systems with Unknown Dead-Zone

Chiang¹

2013

AJIS

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This paper presents a robust adaptive fuzzy control scheme for a class of uncertain nonlinear systems containing an unknown dead-zone. Dead-zone characteristics are quite commonly encountered in actuators, such as hydraulic and pneumatic valves, electric servomotors, and electronic circuits, etc. Therefore, by using a description of a dead-zone and by exploring the properties of this dead-zone model intuitively and mathematically, a robust adaptive fuzzy control method is presented without constructing the dead-zone inverse. The unknown nonlinear functions of the controlled system are approximated by the fuzzy logic system according to some adaptive laws. By means of Lyapunov stability theorem, the proposed robust adaptive fuzzy control scheme can guarantee the robust stability of the whole closed-loop system with an unknown dead-zone in the actuator and obtain good tracking performance as well. Finally, an example and simulation results are illustrated to demonstrate the validity of the proposed method.

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Robust adaptive control of a class of nonlinear systems with unknown dead-zone

Cited by 527 publications

References 9 publications

Robust Adaptive Control for a Class of Systems with Deadzone Nonlinearity

Robust Adaptive Control for a Class of Systems with Deadzone Nonlinearity

A Two-Layered Load and Frequency Controller of a Power System

Robust Adaptive Fuzzy Control of Uncertain Nonlinear Systems with Unknown Dead-Zone

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