Predictive scheme for observer-based control of LTI systems with unknown disturbances

In this work, it is shown that the results introduced in [1], that hold for full state measurement, can be extended to partial state measurement. In particular, it is proven that the combination of an observer with the new predictive scheme of [1] leads to a better disturbance attenuation than using the same observer with the standard predictive scheme. Finally, some simulations illustrate the results for constant and time-varying disturbances.

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

[2]  Oscar Camacho,et al.  Some long time delay sliding mode control approaches. , 2007, ISA transactions.

[3]  Franck Plestan,et al.  New predictive scheme for the control of LTI systems with input delay and unknown disturbances , 2015, Autom..

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

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

[6]  Zhaolin Cheng,et al.  Output feedback stabilization of nonlinear systems with delays in the input , 2005, Appl. Math. Comput..

[7]  L. Fridman,et al.  STEADY MODES IN RELAY SYSTEMS WITH DELAY , 2008 .

[8]  Masami Ito,et al.  An observer for linear feedback control laws of multivariable systems with multiple delays in controls and outputs , 1981 .

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

[10]  P. Olver.  Nonlinear Systems , 2013 .

[11]  Leonid Mirkin,et al.  H∞ control of system with I/O delay: a review of some problem‐oriented methods , 2002 .

[12]  Emilia Fridman,et al.  Sliding mode control in the presence of input delay: A singular perturbation approach , 2012, Autom..

[13]  Pedro Albertos,et al.  Predictor–observer-based control of systems with multiple input/output delays☆ , 2012 .

[14]  V. Lakshmikantham,et al.  Practical Stability Of Nonlinear Systems , 1990 .

[15]  Young-Hoon Roh,et al.  Sliding mode control with uncertainty adaptation for uncertain input-delay systems , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

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

[17]  J. Klamka.  Observer for linear feedback control of systems with distributed delays in controls and outputs , 1982 .

[18]  钟 庆昌.  Robust Control of Time-delay Systems , 2006 .

[19]  Delphine Bresch-Pietri,et al.  Prediction-based feedback control of a class of processes with input-varying delay , 2012, 2012 American Control Conference (ACC).

[20]  Guang-Ren Duan,et al.  Truncated predictor feedback for linear systems with long time-varying input delays , 2012, Autom..

[21]  Jean Jacques Loiseau,et al.  Disturbance attenuation by dynamic output feedback for input-delay systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[22]  Bin Zhou,et al.  Observer based output feedback control of linear systems with multiple input and output delays , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[23]  Andrei Polyakov,et al.  Minimization of disturbances effects in time delay predictor-based sliding mode control systems , 2012, J. Frankl. Inst..

[24]  O Smith,et al.  CLOSER CONTROL OF LOOPS WITH DEAD TIME , 1957 .