Journal of System Simulation ›› 2019, Vol. 31 ›› Issue (6): 1172-1178.doi: 10.16182/j.issn1004731x.joss.17-0187

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Design of Nonsmooth and Inversed Control Algorithm for Nonlinear Structural Vibration Control

Wang Jianhui1, Wang Qing1, Ma Kemao2, Huang Xiaofang3   

  1. 1. School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, China;
    2. School of Astronautics, Harbin Institute of Technology, Harbin 150080, China;
    3. Engineering Earthquake Resistance Research Center, Guangzhou University, Guangzhou 510405, China
  • Received:2017-05-02 Revised:2017-07-12 Online:2019-06-08 Published:2019-12-12

Abstract: Considering the vibration effects of seismic waves on building with nonlinear structures, a nonsmooth and inversed control algorithm is used to suppress the vibration. It overcomes the faults of ignoring nonlinear influence in traditional approximate linearization control method and suppresses the influence of seismic waves effectively. According to Lyapunov stable theory and finite-time stability theory, the proposed control method to realize the stability of the nonlinear structural vibration is demonstrated. In the realization of the control method, the extended state observer is used to estimate the unknown disturbances. The numerical simulation is conducted for an eight-story building influenced by the seismic waves, and the comparative analysis of simulated effect is carried out. The results show that the nonsmooth and inversed control algorithm has a good seismic performance.

Key words: nonlinear building structure, nonsmooth control, inverse system, finite-time stability, ESO

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