Robust Stabilization of Nonlinear Mechanical Systems

被引：0

作者：

Kupriyanchyk L.V. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs’ka Str., 3, Kyiv

来源：

Journal of Mathematical Sciences | 2016年 / 212卷 / 4期

关键词：

Linear Matrix Inequality; Robust Stabilization; Ukrainian National Academy; Nonlinear Control System; Dynamic Feedback;

D O I：

10.1007/s10958-015-2672-2

中图分类号：

学科分类号：

摘要：

We study the problems of robust stabilization and optimization of the equilibrium states of nonlinear mechanical systems. Sufficient conditions for the stabilization of a linear system with measured output feedback are formulated by means of the full-order state observers. The solution of the general problem of robust stabilization and the estimates of the quadratic performance criterion are presented for a family of nonlinear systems on examples of a one-link pendulum on a moving platform in the upper equilibrium position and a pendulum with flywheel control. The application of the obtained results is reduced to the solution of systems of linear matrix inequalities. © 2015, Springer Science+Business Media New York.

引用

页码：397 / 411

页数：14

共 13 条

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