Explicit Reference Governor for the Constrained Control of Time-Delayed Linear Systems

This paper introduces an explicit reference governor approach for controlling time delay linear systems subject to state and input constraints. The proposed framework relies on suitable invariant sets that can be built using both Lyapunov-Razumikhin and Lyapunov-Krasovskii arguments. The proposed method is validated both numerically and experimentally using several alternative formulations.

[1]  A. Casavola,et al.  Constrained Nonlinear Polynomial Time-Delay Systems: A Sum-of-Squares Approach to Estimate the Domain of Attraction , 2012, IEEE Transactions on Automatic Control.

[2]  Emilia Fridman,et al.  Regional stabilization and H∞ control of time‐delay systems with saturating actuators , 2003 .

[3]  PooGyeon Park,et al.  Constrained MPC algorithm for uncertain time-varying systems with state-delay , 2005, IEEE Trans. Autom. Control..

[4]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[5]  Stefano Di Cairano,et al.  Reference governor for Network Control Systems subject to variable time-delay , 2015, Autom..

[6]  Emanuele Garone,et al.  An Explicit Reference Governor for the robust constrained control of nonlinear systems , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[7]  O. Khatib,et al.  Real-Time Obstacle Avoidance for Manipulators and Mobile Robots , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[8]  Sergey Dashkovskiy,et al.  Input-to-state stability for model predictive control of single systems and networks with time-delays , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[9]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[10]  Frank Allgöwer,et al.  Model Predictive Control for Nonlinear Time-Delay Systems without Terminal Constraint , 2011 .

[11]  Wim Michiels,et al.  Stability and Stabilization of Time-Delay Systems (Advances in Design & Control) (Advances in Design and Control) , 2007 .

[12]  S. Niculescu Delay Effects on Stability: A Robust Control Approach , 2001 .

[13]  Alberto Bemporad,et al.  Predictive control of teleoperated constrained systems with unbounded communication delays , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[15]  Emanuele Garone,et al.  Explicit Reference Governor for Constrained Nonlinear Systems , 2016, IEEE Transactions on Automatic Control.

[16]  Edoardo Mosca,et al.  Predictive teleoperation of constrained dynamic systems via Internet-like channels , 2006, IEEE Transactions on Control Systems Technology.

[17]  Emilia Fridman,et al.  Tutorial on Lyapunov-based methods for time-delay systems , 2014, Eur. J. Control.

[18]  Franco Blanchini,et al.  Guide on set invariance for delay difference equations , 2016, Annu. Rev. Control..

[19]  Stefano Di Cairano,et al.  Reference and command governors for systems with constraints: A survey on theory and applications , 2017, Autom..

[20]  Qing-Guo Wang,et al.  Delay-range-dependent stability for systems with time-varying delay , 2007, Autom..

[21]  Georges Bitsoris,et al.  On the Polyhedral Set-Invariance Conditions for Time-Delay Systems , 2011 .

[22]  Emanuele Garone,et al.  Explicit reference governor for linear systems , 2018, Int. J. Control.

[23]  Emilia Fridman,et al.  Introduction to Time-Delay Systems , 2014 .

[24]  Qinghua Li,et al.  Fast reference governors for second-order linear systems with constraints and an input time-delay , 2014, Autom..

[25]  Alessandro Casavola,et al.  Supervision of networked dynamical systems under coordination constraints , 2006, IEEE Transactions on Automatic Control.

[26]  D. D. Perlmutter,et al.  Stability of time‐delay systems , 1972 .