2-D system theory based iterative learning control for linear continuous systems with time delays

This paper presents two-dimensional (2-D) system theory based iterative learning control (ILC) methods for linear continuous multivariable systems with time delays in state or with time delays in input. Necessary and sufficient conditions are given for convergence of the proposed ILC rules. In this paper, we demonstrate that the 2-D linear continuous-discrete Roesser's model can be applied to describe the ILC process of linear continuous time-delay systems. Three numerical examples are used to illustrate the effectiveness of the proposed ILC methods.

[1]  J. Y. Choi,et al.  Adaptive iterative learning control of uncertain robotic systems , 2000 .

[2]  Yong Fang,et al.  2-D analysis for iterative learning controller for discrete-time systems with variable initial conditions , 2003 .

[3]  Krzysztof Galkowski,et al.  Control Systems Theory and Applications for Linear Repetitive Processes - Recent Progress and Open Research Questions , 2007 .

[4]  Toshiharu Sugie,et al.  An iterative learning control law for dynamical systems , 1991, Autom..

[5]  F. Gouaisbaut,et al.  Robust sliding mode control of non-linear systems with delay: a design via polytopic formulation , 2004 .

[6]  J. Kurek,et al.  Iterative learning control synthesis based on 2-D system theory , 1993, IEEE Trans. Autom. Control..

[7]  Michael J. Grimble,et al.  Iterative Learning Control for Deterministic Systems , 1992 .

[8]  Mingxuan Sun,et al.  Robust higher order repetitive learning control algorithm for tracking control of delayed repetitive systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[9]  M. Mahmoud.  Robust Control and Filtering for Time-Delay Systems , 2000 .

[10]  YangQuan Chen,et al.  Iterative Learning Control: Convergence, Robustness and Applications , 1999 .

[11]  Tommy W. S. Chow,et al.  A real-time learning control approach for nonlinear continuous-time system using recurrent neural networks , 2000, IEEE Trans. Ind. Electron..

[12]  Yong Fang,et al.  An iterative learning control method for continuous-time systems based on 2-D system theory , 1998 .

[13]  Eric Rogers,et al.  Stability Analysis for Linear Repetitive Processes , 1992 .

[14]  Hak-Sung Lee,et al.  Study on robustness of iterative learning control with non-zero initial error , 1996 .

[15]  R. Carroll,et al.  Two-dimensional model and algorithm analysis for a class of iterative learning control systems , 1990 .

[16]  D. Hwang,et al.  Iterative learning control method for discrete-time dynamic systems , 1991 .

[17]  Emilia Fridman,et al.  An improved stabilization method for linear time-delay systems , 2002, IEEE Trans. Autom. Control..

[18]  Xi Li,et al.  Criteria for robust stability and stabilization of uncertain linear systems with state delay , 1997, Autom..

[19]  Danwei Wang,et al.  Convergence and Robustness of Discrete Time Nonlinear Systems with Iterative Learning Control , 1998, Autom..

[20]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

[21]  Tommy W. S. Chow,et al.  Iterative Learning Control of Linear Discrete-Time Multivariable Systems , 1998, Autom..

[22]  Dong-Hwan Hwang,et al.  Design of an iterative learning controller for a class of linear dynamic systems with time-delay , 1998 .

[23]  Mo Jamshidi,et al.  Learning control system analysis and design based on 2-D system theory , 1990, J. Intell. Robotic Syst..