Robust monotonically convergent iterative learning control for discrete-time systems via generalized KYP lemma. (English) Zbl 1406.93089

Ding, Jian; Yang, Huizhong

Abstr. Appl. Anal. 2014, Article ID 450241, 12 p. (2014).

Summary: This paper addresses the problem of P-type iterative learning control for a class of multiple-input multiple-output linear discrete-time systems, whose aim is to develop robust monotonically convergent control law design over a finite frequency range. It is shown that the 2 D iterative learning control processes can be taken as 1 D state space model regardless of relative degree. With the generalized Kalman-Yakubovich-Popov lemma applied, it is feasible to describe the monotonically convergent conditions with the help of linear matrix inequality technique and to develop formulas for the control gain matrices design. An extension to robust control law design against systems with structured and polytopic-type uncertainties is also considered. Two numerical examples are provided to validate the feasibility and effectiveness of the proposed method.

MSC:

93B35	Sensitivity (robustness)
93C55	Discrete-time control/observation systems
93C83	Control/observation systems involving computers (process control, etc.)

Keywords:

robust iterative learning control; discrete-time systems

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