Inverted pendulum under hysteretic control: stability zones and periodic solutions

被引：22

作者：

Semenov, Mikhail E. ^{[1
]}

Shevlyakova, Darya V. ^{[2
]}

Meleshenko, Peter A. ^{[3
]}

机构：

[1] Zhukovsky Gagarin Air Force Acad, Dept Meteorol, Voronezh 394064, Russia

[2] Voronezh State Univ, Fac Comp Sci, Voronezh 394006, Russia

[3] Zhukovsky Gagarin Air Force Acad, Dept Math, Voronezh 394064, Russia

来源：

NONLINEAR DYNAMICS | 2014年 / 75卷 / 1-2期

关键词：

Inverted pendulum; Hysteretic control; Monodromy matrix; Stability zone; Periodic solutions; OPTIMAL SWING-UP; FEEDBACK-CONTROL; STABILIZATION; DRIVEN; SPACE;

D O I：

10.1007/s11071-013-1062-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：247 / 256

页数：10

共 37 条

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