Global Stability of a Second-Order Affine Switching System

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详细

Stability of an affine switching system is studied. The system comes to existence when stabilizing a chain of two integrators by means of a feedback in the form of nested saturators. The use of such a feedback allows one to easily take into account boundedness of the control resource, to constrain the maximum velocity of approaching the equilibrium state, which is especially important in the case of large initial deviations, and to ensure desired characteristics of the transient process, such as a given exponential rate of the deviation decrease near the equilibrium state. It is proved that the closed-loop system is globally stable.

作者简介

A. Pesterev

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences

编辑信件的主要联系方式.
Email: alexanderpesterev.ap@gmail.com
Moscow, Russia

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