Journal of Mathematical Sciences

, Volume 212, Issue 4, pp 397–411 | Cite as

Robust Stabilization of Nonlinear Mechanical Systems

  • L. V. KupriyanchykEmail author

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.


Linear Matrix Inequality Robust Stabilization Ukrainian National Academy Nonlinear Control System Dynamic Feedback 
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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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