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access icon free Iterative learning control for non-linear switched discrete-time systems

© The Institution of Engineering and Technology
Received 25/09/2016, Accepted 25/12/2016, Revised 15/12/2016, Published 09/01/2017

This study is concerned with the iterative learning controller design for a class of non-linear switched discrete-time repetitive systems. First, the definitions of exponential stability and average dwell time in iterative learning control (ILC) systems are introduced, and sufficient conditions for exponential stability of non-linear switched discrete-time ILC systems are established by using the methods of common two-dimensional (2D) Lyapunov function and multiple 2D Lyapunov functions, respectively. Then, the proposed results are used to design the iterative learning controller. Finally, an example is given to illustrate the effectiveness of the proposed results.

Inspec keywords: Lyapunov methods; iterative learning control; control system synthesis; discrete time systems; nonlinear control systems; asymptotic stability

Other keywords: iterative learning controller design; average dwell time; 2D Lyapunov function; sufficient condition; exponential stability; nonlinear switched discrete-time repetitive systems; ILC system

Subjects: Discrete control systems; Interpolation and function approximation (numerical analysis); Nonlinear control systems; Self-adjusting control systems; Stability in control theory; Control system analysis and synthesis methods

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