Abstract
The problem of iterative learning control is studied for a class of discrete singular systems with fixed initial shift. Based on the equivalent restrict decomposition form of singular systems, the original systems are transformed into the difference-algebraic systems. Then a learning control algorithm is constructed and the corresponding state limiting trajectory is presented. Under the action of the algorithm, the system state can converge to the state limiting trajectory. In order to eliminate the effect of the fixed initial shift, the initial rectifying strategy is applied to the discrete singular systems. By using the initial rectifying strategy, the system state can track the desired trajectory within the pre-specified time interval. Finally, the effectiveness of the theoretical results is illustrated by an example.
Published Version
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