New discrete-time adaptive ILC for nonlinear systems with time-varying parametric uncertainties

Key Words:Discrete time control systems;Adaptive control systems - Iterative methods - Learning algorithms - Nonlinear systems - Time varying control systems - Two term control systems;Adaptive Control - Iterative learning Control (ILC) - Non-identical initial condition - Non-identical trajectory - Time varying parameter

Abstract:Using the analogy between the discrete time axis and the iterative learning axis, a new discrete-time adaptive iterative learning control (AILC) approach is developed to address a class of nonlinear systems with time-varying parametric uncertainties. Analogous to adaptive control, the new AILC can incorporate a projection algorithm, thus the learning gain can be tuned iteratively along the learning axis. When the initial states are random and the reference trajectory is iteration-varying, the new AILC can achieve the pointwise convergence over a finite time interval asymptotically along the iterative learning axis.<br/>

Volume:34

Issue:7

Translation or Not:no