A Discrete-Time Terminal Sliding-Mode Control Approach Applied to a Motion Control Problem

Abidi, Khalid; Xu, Jian‐Xin; She, Jinhua

doi:10.1109/tie.2008.2010203

Cited by 85 publications

(42 citation statements)

References 18 publications

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“…Fig.1 is the control law response curve based on the proposed control law, which can have much lower packet-dropping probability, satisfying the demand of system response. We give the system state responses curve based on reaching law (13)and (14). The proposed control scheme can obtain much better performance both response time and chattering from Fig.2 and Fig.3.…”

Section: Design Of Discrete-time Sliding Mode Controllermentioning

confidence: 99%

“…Sliding mode control (SMC) is a robust technique for its unique ability to withstand external disturbance, it has achieved fruitful for continuous system. However, sliding mode control schemes are relatively small for discretetime system [13][14][15], a few discrete algorithms are applied to the network control. In this paper, a robust discrete-time sliding mode controller is designed for TCP network model with uncertain disturbance.…”

Section: Introductionmentioning

confidence: 99%

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Design of Congestion Control Scheme for Uncertain Discrete Network Systems

Wang

2013

INT J COMPUT COMMUN, Int. J. Comput. Commun. Control

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For a class of uncertain discrete network systems, a sliding mode control algorithm is presented for active queue management (AQM) in order to solve the problem of congestion control in transmission control protocol (TCP) communication. First, the sliding surface is designed based on linear matrix inequality (LMI) technique. Then, we analyze the mechanism of chattering for the discrete-time exponential approximation law, a modified one is presented and applied to the network systems. Simulation results demonstrate that the proposed controller has good stability and robustness with respect to the uncertainties of the number of active TCP sessions, link capacity and the round-trip time.

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Section: Design Of Discrete-time Sliding Mode Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design of Congestion Control Scheme for Uncertain Discrete Network Systems

Wang

2013

INT J COMPUT COMMUN, Int. J. Comput. Commun. Control

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“…The main reason is attributed to the proposed control algorithm. Due to the power rule is employed in TSM like generalized error and feedback control law, the proposed approach can achieve higher control precision with faster converging speed [16,20,21]. Though the form of these two control are similar, stability analysis and settling time estimation are more difficult of the propose approach due to nonlinearity of s′ and 1 2 ( ) .…”

Section: Assumptionmentioning

confidence: 99%

A new TSMC prototype robust nonlinear task space control of a 6 DOF parallel robotic manipulator

Zhao

Zhu

2010

Int. J. Control Autom. Syst.

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In this study, a new terminal sliding mode control (TSMC) prototype robust nonlinear task space control approach is developed for 6 degree of freedom (DOF) parallel robotic manipulators in light of TSMC principle integrated with Lyapunov redesign method. Corresponding stability analysis is presented to lay a foundation for analytical understanding in generic theoretical aspects and safe operation for real systems. An illustrative example of a 6 DOF parallel robot is bench tested to validate the effectiveness of the proposed approach.

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“…Since then many developments in TSM controller have been reported (Chiu, 2012;Huang, Lin, & Yang, 2005;Man, Paplinski, & Yu, 1994;Man & Yu, 1997;Yu & Man, 1996). Due to these properties, the SMC and TSM have been implemented successfully in many practical systems and few of them can be found in Abidi, Xin, and She (2009), Feng, Zheng, Yu, and Truong (2009), Li, Zhou, and Yu (2013 and Utkin, Guldner, and Shi (1999). In practical applications, almost all the controllers are implemented digitally.…”

Section: Introductionmentioning

confidence: 99%