Truncated Predictor Feedback Stabilization of Polynomially Unstable Linear Systems With Multiple Time-Varying Input Delays | IEEE Journals & Magazine | IEEE Xplore

Truncated Predictor Feedback Stabilization of Polynomially Unstable Linear Systems With Multiple Time-Varying Input Delays


Abstract:

This technical note is concerned with stabilization of polynomially unstable linear systems with multiple time-varying input delays. A truncated predictor feedback (TPF),...Show More

Abstract:

This technical note is concerned with stabilization of polynomially unstable linear systems with multiple time-varying input delays. A truncated predictor feedback (TPF), which is obtained by truncating the distributed terms in the traditional predictor feedback, is proposed. The proposed TPF is a linear static partial state feedback with a time-varying feedback gain that is constructed from the steady solution to a class of parametric Lyapunov differential equations. Under the assumption that the open-loop system is only polynomially unstable and is uniformly controllable, it is shown that, for sufficiently small value of the design parameter, the resulting closed-loop system is exponentially stable no matter how large the time-varying delays are as long as they are bounded. Simulation demonstrates these theoretical results.
Published in: IEEE Transactions on Automatic Control ( Volume: 59, Issue: 8, August 2014)
Page(s): 2157 - 2163
Date of Publication: 02 January 2014

ISSN Information:

Funding Agency:


References

References is not available for this document.