期刊
NONLINEAR DYNAMICS
卷 75, 期 1-2, 页码 247-256出版社
SPRINGER
DOI: 10.1007/s11071-013-1062-x
关键词
Inverted pendulum; Hysteretic control; Monodromy matrix; Stability zone; Periodic solutions
资金
- RFBR [11-08-00032-a, 12-07-00252-a, 13-08-00532-a]
In this paper, the mathematical model of the stabilization of the inverted pendulum with vertically oscillating suspension under hysteretic control is constructed. In the frame of the presented model, the stability criteria for the linearized equations of motion are found. We have made the numerical construction of the stability zones in the two-dimensional parameter space. Dependencies between initial conditions and driven parameters that provide periodic oscillations of the pendulum are obtained.
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