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- W4387640931 abstract "The tracking/rejection of periodic signals constitutes a wide field of research in the control theory and applications area and
 Repetitive Control has proven to be an efficient way to face this topic; however, in some applications the period of the signal to
 be tracked/rejected changes in time or is uncertain, which causes and important performance degradation in the standard
 repetitive controller. This thesis presents some contributions to the open topic of repetitive control working under varying
 frequency conditions. These contributions can be organized as follows:
 One approach that overcomes the problem of working under time varying frequency conditions is the adaptation of the
 controller sampling period, nevertheless, the system framework changes from Linear Time Invariant to Linear Time-Varying
 and the closed-loop stability can be compromised. This work presents two different methodologies aimed at analysing the
 system stability under these conditions. The first one uses a Linear Matrix Inequality (LMI) gridding approach which provides
 necessary conditions to accomplish a sufficient condition for the closed-loop Bounded Input Bounded Output stability of the
 system. The second one applies robust control techniques in order to analyse the stability and yields sufficient stability
 conditions. Both methodologies yield a frequency variation interval for which the system stability can be assured. Although
 several approaches exist for the stability analysis of general time-varying sampling period controllers few of them allow an
 integrated controller design which assures closed-loop stability under such conditions. In this thesis two design
 methodologies are presented, which assure stability of the repetitive control system working under varying sampling period
 for a given frequency variation interval: a mu-synthesis technique and a pre-compensation strategy.
 On a second branch, High Order Repetitive Control (HORC) is mainly used to improve the repetitive control performance
 robustness under disturbance/reference signals with varying or uncertain frequency. Unlike standard repetitive control, the
 HORC involves a weighted sum of several signal periods. With a proper selection of the associated weights, this high order
 function offers a characteristic frequency response in which the high gain peaks located at harmonic frequencies are
 extended to a wider region around the harmonics. Furthermore, the use of an odd-harmonic internal model will make the
 system more appropriate for applications where signals have only odd-harmonic components, as in power electronics
 systems. Thus an Odd-harmonic High Order Repetitive Controller suitable for applications involving odd-harmonic type
 signals with varying/uncertain frequency is presented. The open loop stability of internal models used in HORC and the one
 presented here is analysed. Additionally, as a consequence of this analysis, an Anti-Windup (AW) scheme for repetitive
 control is proposed. This AW proposal is based on the idea of having a small steady state tracking error and fast recovery
 once the system goes out of saturation.
 The experimental validation of these proposals has been performed in two different applications: the Roto-magnet plant and
 the active power filter application. The Roto-magnet plant is an experimental didactic plant used as a tool for analysing and
 understanding the nature of the periodic disturbances, as well as to study the different control techniques used to tackle this
 problem. This plant has been adopted as experimental test bench for rotational machines. On the other hand, shunt active
 power filters have been widely used as a way to overcome power quality problems caused by nonlinear and reactive loads.
 These power electronics devices are designed with the goal of obtaining a power factor close to 1 and achieving current
 harmonics and reactive power compensation." @default.
- W4387640931 created "2023-10-15" @default.
- W4387640931 creator A5066837745 @default.
- W4387640931 date "2023-10-14" @default.
- W4387640931 modified "2023-10-15" @default.
- W4387640931 title "Digital repetitive control under varying frequency conditions" @default.
- W4387640931 doi "https://doi.org/10.5821/dissertation-2117-94682" @default.
- W4387640931 hasPublicationYear "2023" @default.
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