caa a22 4500 445362014 CHVBK 20180317142918.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s11071-010-9910-4 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9910-4 Nonlinear dynamic analysis and sliding mode control foragyroscope system [Elektronische Daten] [Cheng-Chi Wang, Her-Terng Yau] This paper employs differential transformation (DT) method to analyze and control the dynamic behavior of a gyroscope system. The analytical results reveal a complex dynamic behavior comprising periodic, subharmonic, quasiperiodic, and chaotic responses of the center of gravity. Furthermore, the results reveal the changes which take place in the dynamic behavior of the gyroscope system as the external force is increased. The current analytical results by DT method are found to be in good agreement with those of Runge-Kutta (RK) method. In order to suppress the chaotic behavior in gyroscope system, the sliding mode controller (SMC) is used and guaranteed the stability of the system from chaotic motion to periodic motion. Numerical simulations are shown to verify the results. The proposed DT method and controlling scheme provide an effective means of gaining insights into the nonlinear dynamics and controlling of gyroscope systems. Springer Science+Business Media B.V., 2010 Differential transformation method nationallicence Gyroscope nationallicence Sliding mode controller nationallicence Wang Cheng-Chi Department of Mechanical Engineering, Far East University, Sinshih, Taiwan aut Yau Her-Terng Department of Electrical Engineering, National Chin-Yi University of Technology, Taiping City, Taiwan aut Nonlinear Dynamics Springer Netherlands 66/1-2(2011-10-01), 53-65 0924-090X 66:1-2<53 2011 66 11071 https://doi.org/10.1007/s11071-010-9910-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9910-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Cheng-Chi Department of Mechanical Engineering, Far East University, Sinshih, Taiwan aut NATIONALLICENCE 700 1- Yau Her-Terng Department of Electrical Engineering, National Chin-Yi University of Technology, Taiping City, Taiwan aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/1-2(2011-10-01), 53-65 0924-090X 66:1-2<53 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer