Iterative learning control for switched linear parabolic systems in space W1, 2

This paper deals with the problem of iterative learning control for a class of switched linear parabolic systems in space W
^1,2
. Here, the considered switched systems with arbitrary switching rules are operated during a finite time interval repetitively. According to the characteristics of the systems, iterative learning control laws are proposed for such switched parabolic systems based on the P-type learning algorithm. Using the contraction mapping method, it is shown that the algorithm can guarantee the output tracking errors on W
^1,2
space converge along the iteration axis. A simulation example illustrates the effectiveness of the proposed algorithm.