Prediction-based feedback control of a class of processes with input-varying delay

At the light of a simple tutorial example, this paper discusses the merits of a recently introduced technique to control a class of systems with a delay depending on the past values of the control variables. The relations of the proposed technique with previous works from the literature on predictor-based controllers are discussed. The treated example is representative of a wide class of systems often observed in process control and distributed parameter systems. The anticipating capabilities of the proposed controller yields interesting closed-loop performance.

[1]  Delphine Bresch-Pietri,et al.  Adaptive trajectory tracking despite unknown input delay and plant parameters , 2009, Autom..

[2]  M. Krstić Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch , 2008 .

[3]  Anuradha M. Annaswamy,et al.  Adaptive posicast controller for time-delay systems with relative degree n*<=2 , 2010, Autom..

[4]  M. Jankovic,et al.  Recursive predictor design for linear systems with time delay , 2008, 2008 American Control Conference.

[5]  K. Gu,et al.  Stability of Linear Systems With Time‐Varying Delay: a Generalized Discretized Lyapunov Functional Approach , 2001 .

[6]  Denis Dochain,et al.  The optimal design of two interconnected (bio)chemical reactors revisited , 2005, Comput. Chem. Eng..

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

[8]  P. Rouchon,et al.  Motion planning for two classes of nonlinear systems with delays depending on the control , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[9]  Li-Sheng Hu,et al.  New stabilization method for linear systems with time-varying input delay , 2011, Proceedings of the 2011 American Control Conference.

[10]  Robin De Keyser,et al.  Nonlinear Predictive Control of processes with variable time delay. A temperature control case study , 2008, 2008 IEEE International Conference on Control Applications.

[11]  Bing Li,et al.  New stability criteria for linear systems with interval time-varying delay , 2013, Proceedings of 2013 2nd International Conference on Measurement, Information and Control.

[12]  Delphine Bresch-Pietri,et al.  Adaptive backstepping for uncertain systems with time-delay on-line update laws , 2011, Proceedings of the 2011 American Control Conference.

[13]  Qing-Chang Zhong,et al.  Robust Control of Time-delay Systems , 2006 .

[14]  Delphine Bresch-Pietri,et al.  Adaptive backstepping controller for uncertain systems with unknown input time-delay. Application to SI engines , 2010, 49th IEEE Conference on Decision and Control (CDC).

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

[16]  Silviu-Iulian Niculescu,et al.  Survey on Recent Results in the Stability and Control of Time-Delay Systems* , 2003 .

[17]  Shankar P. Bhattacharyya,et al.  PID Controllers for Time Delay Systems , 2004 .

[18]  Miroslav Krstic,et al.  Delay-adaptive full-state predictor feedback for systems with unknown long actuator delay , 2009, 2009 American Control Conference.

[19]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

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

[21]  Qing-Long Han,et al.  New stability criteria for linear systems with interval time-varying delay , 2008, Autom..

[22]  Dong Yue,et al.  Delayed feedback control of uncertain systems with time-varying input delay , 2005, Autom..

[23]  M. Krstić,et al.  Boundary Control of PDEs , 2008 .

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

[25]  Wook Hyun Kwon,et al.  Robust stabilization of uncertain input-delayed systems using reduction method , 2001, Autom..

[26]  Jonathan Chauvin,et al.  Output Feedback control of time delay systems with adaptation of delay estimate , 2011 .

[27]  M. Krstić Boundary Control of PDEs: A Course on Backstepping Designs , 2008 .

[28]  Nicolas Petit,et al.  Feedback control and optimization for the production of commercial fuels by blending , 2010 .

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

[30]  W. Michiels,et al.  A safe implementation for finite spectrum assignment: robustness analysis , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).