Performance and robustness issues in iterative learning control

Closed-loop system robustness and performance in the presence of uncertainty are important issues in the design of feedback systems. Much of the recent work in control theory has led to the development of methods that rigorously address these issues. The motivation for the so-called iterative learning control systems is similar: iterative learning control systems can improve performance and reduce the effects of uncertainty. However, these issues usually receive only heuristic treatment in the design of learning controllers. The purpose of this paper is to extend the rigorous techniques for robust stability and performance to an iterative learning control architecture. The paper discusses precise definitions of robust convergence and performance for this architecture, and demonstrates the authors' initial analysis and design results.<<ETX>>

[1]  Giovanni Ulivi,et al.  A frequency-domain approach to learning control: implementation for a robot manipulator , 1992, IEEE Trans. Ind. Electron..

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

[3]  John Hauser,et al.  Learning control for a class of nonlinear systems , 1987, 26th IEEE Conference on Decision and Control.

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

[5]  Il Hong Suh,et al.  A model algorithmic learning method for continuous-path control of a robot manipulator , 1990, Robotica.

[6]  Katsuhisa Furuta,et al.  Iterative Generation of Virtual Reference for a Manipulator , 1991, Robotica.

[7]  G. Zames Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[8]  G. Stein,et al.  The LQG/LTR procedure for multivariable feedback control design , 1987 .

[9]  G. Zames On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[10]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[11]  Renjeng Su,et al.  An H∞ approach to learning control systems , 1990 .

[12]  Christopher G. Atkeson,et al.  Robot trajectory learning through practice , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[13]  John C. Doyle Analysis of Feedback Systems with Structured Uncertainty , 1982 .

[14]  M. Togai,et al.  Learning control and its optimality: Analysis and its application to controlling industrial robots , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.