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Paper details
Number 4 - December 2004
Volume 14 - 2004
Stabilization of second-order systems by non-linear feedback
Paweł Skruch
Abstract
A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Keywords
second-order system, stability theory, non-linear feedback