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SLIDING MODE CONTROL OF LORENZ SYSTEM WITH MULTIPLE INPUTS CONTAINING SECTOR NONLINEARITIES AND DEAD ZONE

School of Electronic and Information Engineering, Dalian University of Technology, Dalian, LiaoNing, People's Republic of China

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MING LIU

School of Electronic and Information Engineering, Dalian University of Technology, Dalian, LiaoNing, People's Republic of China

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MINGJUN WANG

School of Electronic and Information Engineering, Dalian University of Technology, Dalian, LiaoNing, People's Republic of China

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YIJIE HE

School of Electronic and Information Engineering, Dalian University of Technology, Dalian, LiaoNing, People's Republic of China

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https://doi.org/10.1142/S0217979208038958Cited by:5 (Source: Crossref)

Abstract

This paper designs the controller for uncertain Lorenz system with multiple inputs containing sector nonlinearities and dead zone, and theoretically demonstrates the effectiveness of this controller. By this controller, the controlled Lorenz system can asymptotically drive the system orbits to arbitrarily objective trajectories even with uncertainties and sector nonlinearities and dead zone in the inputs, and thus has strong robustness. Finally, through the emulation studies of controlled Lorenz systems, it demonstrates the effectiveness of this controller.

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References

Y. M. Hu, Theoretics and Application of Variable Structure Control (Science Press, Beijing, 2003) pp. 1–17. Google Scholar
W. B. Gao, Theoretics Foundation of Variable Structure Control (Chinese Science and Technology Press, Beijing, 1990) pp. 3–37. Google Scholar
F. C. Liuet al., Acta Phys. Sin. 51, 2707 (1990). Web of Science, Google Scholar
E. Ott, C. Grebogi and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990), DOI: 10.1103/PhysRevLett.64.1196. Crossref, Web of Science, ADS, Google Scholar
G. Chen and X. Dong, From Chaos to Order: Methodologies, Perspectives and Applications (World Scientific, Singapore, 1998) pp. 12–27. Crossref, Google Scholar
G. R. Wang, X. L. Yu and S. G. Chen, Chaotic Control, Synchronization and Utilizing (National Defence Industry Press, Beijing, 2001) pp. 281–455. Google Scholar
X. P. Guanet al., Chaotic Control and its Application on Secure Communication (National Defence Industry Press, Beijing, 2002) pp. 168–225. Google Scholar
X. Y. Wang, The Chaos in Complex Non-Linear Systems (Electronic Industry Press, Beijing, 2003) pp. 91–113. Google Scholar
C. L. Chen and W. Y. Lin, J. Syst. Cont. Eng. 211, 75 (1997). Google Scholar
H. T. Yau, C. K. Chen and C. L. Chen, Int. J. Bifurcat. Chaos 10, 1139 (2000). Link, Web of Science, Google Scholar
H. H. Tsai, C. C. Fuh and C. N. Chang, Chaos, Solitions Fractal 14, 627 (2002), DOI: 10.1016/S0960-0779(01)00213-2. Crossref, Web of Science, ADS, Google Scholar
H. T. Yau and J. J. Yan, Chaos, Solitions Fractal 19, 891 (2004), DOI: 10.1016/S0960-0779(03)00255-8. Crossref, Web of Science, ADS, Google Scholar
X. Y. Wang and M. Liu, Acta Phys. Sin. 54, 2584 (2005). Crossref, Web of Science, Google Scholar
E. N. Lorenz, J. Atmos Sci. 20, 130 (1963). Crossref, Web of Science, ADS, Google Scholar
O. E. Rössler, Phys. Lett. A 71, 155 (1979). Crossref, Web of Science, ADS, Google Scholar