New predictive scheme for the control of LTI systems with input delay and unknown disturbances

被引:107
作者
Lechappe, Vincent [1 ]
Moulay, Emmanuel [2 ]
Plestan, Franck [1 ]
Glumineau, Alain [1 ]
Chriette, Abdelhamid [1 ]
机构
[1] LUNAM Univ, Ecole Cent Nantes, IRCCyN UMR CNRS 6597, Nantes, France
[2] Univ Poitiers, Xlim SIC, F-86962 Futuroscope, France
关键词
Input delay; Unknown disturbance; Prediction; Reduction method; Artstein reduction; Predictive feedback; SLIDING MODE CONTROL; FINITE SPECTRUM ASSIGNMENT; LINEAR-SYSTEMS; FEEDBACK;
D O I
10.1016/j.automatica.2014.11.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new predictive scheme is proposed for the control of Linear Time Invariant (LTI) systems with a constant and known delay in the input and unknown disturbances. It has been achieved to include disturbances effect in the prediction even though there are completely unknown. The Artstein reduction is then revisited thanks to the computation of this new prediction. An extensive comparison with the standard scheme is presented throughout the article. It is proved that the new scheme leads to feedback controllers that are able to reject perfectly constant disturbances. For time-varying ones, a better attenuation is achieved for a wide range of perturbations and for both linear and nonlinear controllers. A criterion is given to characterize this class of perturbations. Finally, some simulations illustrate the results. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:179 / 184
页数:6
相关论文
共 25 条
  • [1] LINEAR-SYSTEMS WITH DELAYED CONTROLS - A REDUCTION
    ARTSTEIN, Z
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) : 869 - 879
  • [2] Adaptive control scheme for uncertain time-delay systems
    Bresch-Pietri, Delphine
    Chauvin, Jonathan
    Petit, Nicolas
    [J]. AUTOMATICA, 2012, 48 (08) : 1536 - 1552
  • [3] Some long time delay sliding mode control approaches
    Camacho, Oscar
    Rojas, Ruben
    Garcia-Gabin, Winston
    [J]. ISA TRANSACTIONS, 2007, 46 (01) : 95 - 101
  • [4] Disturbance attenuation by dynamic output feedback for input-delay systems
    Di Loreto, Michael
    Loiseau, Jean Jacques
    Lafay, Jean-Francois
    [J]. AUTOMATICA, 2008, 44 (08) : 2202 - 2206
  • [5] Fridman L., 2002, AUTOMATION CONTROL E
  • [6] Sliding mode control in the presence of input delay: A singular perturbation approach
    Han, X.
    Fridman, E.
    Spurgeon, S. K.
    [J]. AUTOMATICA, 2012, 48 (08) : 1904 - 1912
  • [7] Khalil H.K., 2002, Nonlinear systems, V3rd
  • [8] KRSTIC M., 2009, SYST CONTROL-FOUND A
  • [9] Compensation of Infinite-Dimensional Actuator and Sensor Dynamics NONLINEAR AND DELAY-ADAPTIVE SYSTEMS
    Krstic, Miroslav
    [J]. IEEE CONTROL SYSTEMS MAGAZINE, 2010, 30 (01): : 22 - 41
  • [10] Lyapunov tools for predictor feedbacks for delay systems: Inverse optimality and robustness to delay mismatch
    Krstic, Miroslav
    [J]. AUTOMATICA, 2008, 44 (11) : 2930 - 2935