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Design of an Iterative Learning Control Law for a Class of Switched Repetitive Systems

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This paper is concerned with the design of an iterative learning control (ILC) law, which is developed to improve the tracking performance of a class of switched repetitive systems with… Click to show full abstract

This paper is concerned with the design of an iterative learning control (ILC) law, which is developed to improve the tracking performance of a class of switched repetitive systems with time-varying delay. Firstly, the ILC scheme is introduced and a two-dimensional (2D) switched model is proposed to describe the switched repetitive system. Secondly, sufficient conditions for the exponential stability with $${l_2}$$l2-gain performance of the 2D switched system are derived by choosing a Lyapunov–Krasovskii functional. The ILC gains are then obtained by solving a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.

Keywords: switched repetitive; class switched; design iterative; iterative learning; repetitive systems; learning control

Journal Title: Circuits, Systems, and Signal Processing
Year Published: 2017

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