Sliding mode control of uncertain unified chaotic systems

This paper investigates the chaos control of the uncertain unified chaotic systems by means of sliding mode control. A proportional plus integral sliding surface is introduced to obtain a sliding mode control law. To confirm the validity of the proposed method, numerical simulations are presented graphically.

[1]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[2]  Alexander L. Fradkov,et al.  Control of Chaos: Methods and Applications. I. Methods , 2003 .

[3]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[4]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[5]  Donghua Zhou,et al.  Nonlinear feedback control of Lorenz system , 2004 .

[6]  H. Salarieh,et al.  Chaos control in AFM systems using nonlinear delayed feedback via sliding mode control , 2008 .

[7]  Robin J. Evans,et al.  Control of chaos: Methods and applications in engineering, , 2005, Annu. Rev. Control..

[8]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[9]  Daizhan Cheng,et al.  Bridge the Gap between the Lorenz System and the Chen System , 2002, Int. J. Bifurc. Chaos.

[10]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[11]  Jun-Juh Yan,et al.  Controlling chaos of a chaotic nonlinear gyro using variable structure control , 2007 .

[12]  Maciej Ogorzalek Chaos and Complexity in Nonlinear Electronic Circuits , 1997 .

[13]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[14]  Yoshisuke Ueda,et al.  Random phenomena resulting from non-linearity in the system described by duffing's equation , 1985 .

[15]  Steven H. Strogatz,et al.  Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering , 1994 .

[16]  Jean-Pierre Barbot,et al.  Sliding Mode Control In Engineering , 2002 .

[17]  T. Liao,et al.  Controlling chaos of the family of Rossler systems using sliding mode control , 2008 .

[18]  Tan Wen,et al.  Adaptive regulation of uncertain chaos with dynamic neural networks , 2004 .