Finite-time control and synchronization of a class of systems via the twisting controller

Luo, Runzi; Su, Haipeng

doi:10.1016/j.cjph.2017.09.003

Cited by 14 publications

(9 citation statements)

References 26 publications

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“…The other controller considered in the comparison is a finite-time dynamic twisting controller recently presented in [21], the control gain parameters are also shown in Table 1 τ = −k 1 sign(e 1 ) − k 2 sign(e 2 ) − 0.5sign(x 3 ) +ẍ *…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…In Figure 3, in the undisturbed case (a), the closed-loop system response is quite similar using the proposed control algorithm and the twisting controller, although the convergence time to the reference using the proposed controller is a little bit faster due to the action of the nested signum gain. Moreover, the proposed controller by Luo and Su [21] presents a relatively large convergence time to the reference. The performance of the proposed controller is outstanding in the disturbed case (b); note that the proposed controller in [21] has a better closed-loop performance than the twisting controller, this happens because the amplitude of the disturbance is bigger than the k 1 gain parameter of each one of the three controllers.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…Moreover, the proposed controller by Luo and Su [21] presents a relatively large convergence time to the reference. The performance of the proposed controller is outstanding in the disturbed case (b); note that the proposed controller in [21] has a better closed-loop performance than the twisting controller, this happens because the amplitude of the disturbance is bigger than the k 1 gain parameter of each one of the three controllers.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…The stability analysis is offered using a Lyapunov function. In Section 7 a comparison is made to twisting controllers [10,21] and the present approach in numerical simulations. Section 8 presents real-time experimental results to solve the tracking problem in a mass-spring-damper platform, from Educational Control Products (ECP-210).…”

Section: Introductionmentioning

confidence: 99%

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Robust tracking control for a class of uncertain mechanical systems

Rascón

2019

Automatika

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In this paper, it is proposed a control structure to solve the tracking problem in a class of uncertain mechanical systems. It is considered that the system is affected by unknown disturbances, discontinuous friction and uncertainties. The proposed control algorithm is based on the twisting control algorithm plus a nested signum term, moreover a disturbance estimator is used as feedback to the controller in order to compensate the non modelled parameters and uncertainties of the plant, also a velocity observer is proposed. Through the usage of Lyapunov tools, it is shown that the closed-loop nonlinear system is globally asymptotically stable and achieves zero steadystate position error, also, it is shown that while being asymptotically stable and homogeneous of degree q < 0, these systems approach the equilibrium point in finite time. Numerical simulations and real-time experiments carried out in a mass-spring-damper system show the performance and effectiveness of the control structure.

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Section: Numerical Simulationsmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Robust tracking control for a class of uncertain mechanical systems

Rascón

2019

Automatika

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“…Twisting sliding model algorithm (TSMA) is one of the best choices among other HOSMs for the stabilization of nonlinear systems under external disturbances or uncertainties. Examples demonstrating applications of the TSMA can be found in [18][19][20][21][22]. This paper presents a method based the TPMT and the TSMA to design a robust controller to supress shimmy vibration in aircraft landing gears.…”

Section: Introductionmentioning

confidence: 99%

Control of shimmy vibration in aircraft landing gears based on tensor product model transformation and twisting sliding mode algorithm

Kuntanapreeda

2018

MATEC Web Conf.

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Abstract. Shimmy vibration is a common phenomenon in landing gear systems during either the take-off or landing of aircrafts. The shimmy vibration is undesirable since it can damage the landing gear and discomforts the pilots and passengers. In this work, tensor product model transformation (TPMT) and twisting sliding mode algorithm (TSMA) are utilized to design a robust controller for suppression of the shimmy vibration. The design has two steps. First, the TPMT is applied to determine the first part of the controller to suppress the vibration of the undisturbed system. After that, the TSMA is adopted to obtain another part of the controller to eliminate the remaining vibration caused by disturbances. By integrating these two parts, the proposed controller is obtained. Simulation studies are provided to demonstrate the effectiveness of the controller.

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Suppression and synchronization of chaos in uncertain time-delay physical system

Ahmad,

Shafiq

2024

Appl. Math. J. Chin. Univ.

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Finite-time control and synchronization of a class of systems via the twisting controller

Cited by 14 publications

References 26 publications

Robust tracking control for a class of uncertain mechanical systems

Robust tracking control for a class of uncertain mechanical systems

Control of shimmy vibration in aircraft landing gears based on tensor product model transformation and twisting sliding mode algorithm

Suppression and synchronization of chaos in uncertain time-delay physical system

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