Truncated predictor feedback control for exponentially unstable linear systems with time-varying input delay | IEEE Conference Publication | IEEE Xplore

Truncated predictor feedback control for exponentially unstable linear systems with time-varying input delay


Abstract:

The stabilization of exponentially unstable linear systems with time-varying input delay is considered in this paper.We extend the truncated predictor feedback (TPF) desi...Show More

Abstract:

The stabilization of exponentially unstable linear systems with time-varying input delay is considered in this paper.We extend the truncated predictor feedback (TPF) design method, which was recently developed for systems with all poles on the closed left-half plane, to be applicable to exponentially unstable linear systems. Assuming that the time-varying delay is known and bounded, the design approach of a time-varying state feedback controller is developed based on the solution of a parametric Lyapunov equation. An explicit condition is derived for which the stability of the closed-loop system with the proposed controller is guaranteed. It is shown that, for the stability of the closed-loop system, the maximum allowable time-delay in the input is inversely proportional to the sum of the unstable poles in the plant. The effectiveness of the proposed method is demonstrated through numerical examples.
Date of Conference: 17-19 June 2013
Date Added to IEEE Xplore: 15 August 2013
ISBN Information:

ISSN Information:

Conference Location: Washington, DC, USA

References

References is not available for this document.