2014
DOI: 10.1002/cplx.21545
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Abstract: Design of a novel global sliding mode control law for the stabilization of uncertain nonlinear systems is presented in this article. A sufficient condition is derived using the Lyapunov theorem and linear matrix inequality to guarantee the asymptotical stability of the states and to improve the stability of the system. Under the uncertainty and nonlinearity effects, the reaching phase is eliminated and the chattering is reduced effectively and then, the robustness and performance of the system are improved. La… Show more

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Cited by 73 publications
(59 citation statements)
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“…Typically, it is designed as a linear sliding surface. The stability of the sliding behavior is assured by assigning the parameters of the linear surface and is analyzed by creating an appropriate Lyapunov functional [11]. LMI has appeared as an influential computational tool in solving of the control problems due to its computational flexibility and efficiency and to treat with a large category of design problems.…”
Section: Introductionmentioning
confidence: 99%
“…Typically, it is designed as a linear sliding surface. The stability of the sliding behavior is assured by assigning the parameters of the linear surface and is analyzed by creating an appropriate Lyapunov functional [11]. LMI has appeared as an influential computational tool in solving of the control problems due to its computational flexibility and efficiency and to treat with a large category of design problems.…”
Section: Introductionmentioning
confidence: 99%
“…The prominent characteristic of a chaotic system is its extreme sensitivity to initial conditions and the system's parameters. Over the past decades, chaos control has been widely investigated and many researches have been studied in this field [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. In [1], a linear feedback control method is proposed for controlling uncertain L€ u system.…”
Section: Introductionmentioning
confidence: 99%
“…In [9], a linear active control technique is developed for the global chaos synchronization problem of two identical chaotic systems and two nonidentical chaotic systems. However, these methods [1][2][3][4][5][6][7][8][9] can not deal with the effects caused by input dead-zone nonlinearity and timedelays. In practice, the problem of input dead-zone nonlinearity and time-delays is often encountered in various engineering systems, and the existence of input dead-zone nonlinearity and time-delays frequently becomes a source of instability and poor performance.…”
Section: Introductionmentioning
confidence: 99%
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