Prediction-based control for systems with state and several input delays

In this contribution an extension of the prediction-based design scheme proposed in Tsubakino etal. (2015) for compensation of input delays to the case of systems with input and state delays is presented. To derive safely implementable control laws we propose to apply additional input filters and obtain a closed-loop system in the form of a set of retarded type differential equations. An example illustrating the design scheme is given.

[1]  Richard Bellman,et al.  Differential-Difference Equations , 1967 .

[2]  L KharitonovVladimir An extension of the prediction scheme to the case of systems with both input and state delay , 2014 .

[3]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

[4]  Vladimir L. Kharitonov,et al.  An extension of the prediction scheme to the case of systems with both input and state delay , 2014, Autom..

[5]  Wim Michiels,et al.  Finite spectrum assignment of unstable time-delay systems with a safe implementation , 2003, IEEE Trans. Autom. Control..

[6]  Dirk Roose,et al.  Limitations of a class of stabilization methods for delay systems , 2001, IEEE Trans. Autom. Control..

[7]  M. Krstić Delay Compensation for Nonlinear, Adaptive, and PDE Systems , 2009 .

[8]  V. Van Assche,et al.  Some problems arising in the implementation of distributed-delay control laws , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[9]  Wook Hyun Kwon,et al.  Feedback stabilization of linear systems with delayed control , 1980 .

[10]  V. Kharitonov,et al.  Predictor-based controls: The implementation problem , 2015 .

[11]  Miroslav Krstic,et al.  Predictor-feedback for multi-input LTI systems with distinct delays , 2015, 2015 American Control Conference (ACC).

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

[13]  Mrdjan Jankovic,et al.  Recursive predictor design for state and output feedback controllers for linear time delay systems , 2010, at - Automatisierungstechnik.

[14]  Keqin Gu,et al.  A Review of Some Subtleties of Practical Relevance , 2012 .

[15]  O. J. M. Smith,et al.  A controller to overcome dead time , 1959 .

[16]  Bin Zhou,et al.  Input delay compensation of linear systems with both state and input delays by nested prediction , 2014, Autom..