Asymptotic stabilization of linear time-varying systems with input delays via delayed static output feedback

A family of linear time-varying systems with an input, an output and delays in the input is considered. It is shown that, under a stabilizability and a detectability assumption, systems of this family can be exponentially stabilized through a time-varying feedback depending on past values of the output and the input.

[1]  A Alejandro Alvarez Aguirre,et al.  Remote control and motion coordination of mobile robots , 2011 .

[2]  Wim Michiels,et al.  Static output feedback stabilization: necessary conditions for multiple delay controllers , 2005, IEEE Transactions on Automatic Control.

[3]  Wim Michiels,et al.  Stabilizing a chain of integrators using multiple delays , 2004, IEEE Transactions on Automatic Control.

[4]  Etsujiro Shimemura,et al.  Use of multiple time-delays as controllers in IMC schemes , 1993 .

[5]  Miroslav Krstic,et al.  Lyapunov Stability of Linear Predictor Feedback for Distributed Input Delays , 2011, IEEE Trans. Autom. Control..

[6]  Alessandro Astolfi,et al.  Homogeneous Approximation, Recursive Observer Design, and Output Feedback , 2008, SIAM J. Control. Optim..

[7]  Frédéric Mazenc,et al.  Robust interval observers and stabilization design for discrete-time systems with input and output , 2013, Autom..

[8]  S. Niculescu,et al.  Stability and Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach , 2007 .

[9]  L. Praly,et al.  Asymptotic tracking of a state reference for systems with a feedforward structure , 1997, 1997 European Control Conference (ECC).

[10]  Sabine Mondié,et al.  Global stabilization of oscillators with bounded delayed input , 2004, Syst. Control. Lett..

[11]  Z. Artstein.  Linear systems with delayed controls: A reduction , 1982 .

[12]  Nikolaos Bekiaris-Liberis,et al.  Stabilization of linear strict-feedback systems with delayed integrators , 2010, ACC 2010.

[13]  D. Luenberger.  An introduction to observers , 1971 .

[14]  Gildas Besancon,et al.  Nonlinear observers and applications , 2007 .

[15]  Michael Malisoff,et al.  Asymptotic stabilization for feedforward systems with delayed feedbacks , 2013, Autom..

[16]  Miroslav Krstic,et al.  Lyapunov-Krasovskii functionals and application to input delay compensation for linear time-invariant systems , 2012, Autom..

[17]  Michael Malisoff,et al.  Reduction Model Approach for Linear Time-Varying Systems With Delays , 2014, IEEE Transactions on Automatic Control.

[18]  Frédéric Mazenc,et al.  Asymptotic tracking of a reference state for systems with a feedforward structure , 2000, Autom..

[19]  Iasson Karafyllis,et al.  Stabilization of nonlinear delay systems using approximate predictors and high-gain observers , 2013, Autom..