Automatica, Vol.40, No.1, 145-153, 2004
An output-based adaptive iterative learning controller for high relative degree uncertain linear systems
In this paper, we derive an output tracking error model based on signals filtered from plant input and output, and then present a new output-based adaptive iterative learning controller for repeatable linear systems with unknown parameters, high relative degree, initial resetting error, input disturbance and output noise. The proposed controller solves the important robustness issues without assuming the bounds of uncertainties to be sufficiently small and can be applied to high relative degree plants without using output differentiation. Control parameters are updated between successive iterations so as to compensate for unknown system parameters and uncertainties. It is shown that the internal signals inside closed-loop learning system remain bounded and the output tracking error will asymptotically converge to a profile tunable by some design parameters. Furthermore, the learning speed is easily improved if the learning gain is increased. (C) 2003 Elsevier Ltd. All rights reserved.
Keywords:iterative learning control;adaptive control;robustness;initial resetting error;disturbance and noise;high relative degree