15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
ROBUST LEARNING CONTROL FOR NONLINEAR UNCERTAIN SYSTEMS BASED ON COMPOSITE ENERGY FUNCTION
Jian-Xin Xu, Jing Xu and Ying Tan
Department of Electrical & Computer Engineering
National University of Singapore, Singapore 119260

Novel robust learning control approach is presented to address nonlinear systems with uncertainties under repeatable control environment. The uncertainties are classified into two categories: time varying parametric uncertainties and norm-bounded nonvanishing uncertainties. The Iterative Learning Control (ILC) scheme is employed to cancel the parametric uncertainties, while the robust control technique is utilized to deal with norm-bounded uncertainties. The concept of Composite Energy Function (CEF) is introduced in the analysis of the learning convergence, consequently the proposed learning control scheme is applicable to quite general systems without requiring the global Lipschitz continuity condition.
Keywords: Iterative Learning Control, Lyapunov Methods, Parametric Uncertainty, Norm-bounded Uncertainty, Initial Condition
Session slot T-Mo-A03: Switching and Multiple Models for Adaptive Control/Area code 3b : Adaptive Control and Tuning