Monotonically convergent iterative learning control for linear discrete-time systems.

*(English)*Zbl 1086.93066Summary: In iterative learning control schemes for linear discrete time systems, conditions to guarantee the monotonic convergence of the tracking error norms are derived. By using the Markov parameters, it is shown in the time-domain that there exists a non-increasing function such that when the properly chosen constant learning gain is multiplied by this function, the convergence of the tracking error norms is monotonic, without resort to high-gain feedback.

##### MSC:

93E35 | Stochastic learning and adaptive control |

93B40 | Computational methods in systems theory (MSC2010) |

93E12 | Identification in stochastic control theory |

##### Keywords:

Iterative learning control; Discrete time system; Transient learning performance; Monotonic convergence##### Software:

INTLAB
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\textit{K. L. Moore} et al., Automatica 41, No. 9, 1529--1537 (2005; Zbl 1086.93066)

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##### References:

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