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.
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页码：397 / 411
页数：14
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