Non-uniform sampling in digital repetitive control systems: an LMI stability analysis
نویسندگان
چکیده
Digital repetitive control is a technique which allows to track periodic references and/or reject periodic disturbances. Repetitive controllers are usually designed assuming a fixed frequency for the signals to be tracked/rejected, its main drawback being a dramatic performance decay when this frequency varies. A usual approach to overcome the problem consists of an adaptive change of the sampling time according to the reference/disturbance period variation. This report presents a stability analysis of a digital repetitive controller working under time-varying sampling period by means of an LMI gridding approach. Theoretical developments are illustrated with experimental results. This work was partially supported by the Spanish Ministerio de Educación y Ciencia under project DPI2007-62582. Department of Electrical and Electronic Engineering, Universidad Nacional de Colombia, Bogotá DC, Colombia. E-mail: [email protected] Institute of Industrial and Control Engineering, Universitat Politècnica de Catalunya, Barcelona, Spain. E-mail: {josep.olm,ramon.costa}@upc.edu
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Design and analysis strategies for digital repetitive control systems with time-varying reference/disturbance period
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