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A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

Zhou L., She J., Zhou S.

International Journal of Applied Mathematics and Computer Science

2014

Vol. 24, no. 2

325--334

This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

Decentralized design of interconnected H infinity feedback control systems with quantized signals

Zhai G., Chen N., Gui W.

International Journal of Applied Mathematics and Computer Science

2013

Vol. 23, no. 2

317--325

In this paper, we consider the design of interconnected H infinity feedback control systems with quantized signals. We assume that a decentralized dynamic output feedback has been designed for an interconnected continuous-time LTI system so that the closed-loop system is stable and a desired H infinity disturbance attenuation level is achieved, and that the subsystem measurement outputs are quantized before they are passed to the local controllers. We propose a local-output-dependent strategy for updating the parameters of the quantizers, so that the overall closed-loop system is asymptotically stable and achieves the same H infinity disturbance attenuation level. Both the pre-designed controllers and the parameters of the quantizers are constructed in a decentralized manner, depending on local measurement outputs.

Badania błędu współczynnika wzmocnienia wzmacniaczy z rezystancyjnym dynamicznym sprzężeniem zwrotnym

Dorozhovets M.

Pomiary Automatyka Kontrola

2012

R. 58, nr 12

1053-1056

The analysis results of the amplification factor relative error of three kinds of amplifiers (non-inverting (Fig. 1,b), inverting (Fig. 2,a) and differential (Fig. 2,b)) based on resistors dynamic-feedback are presented in the paper. Such amplifiers are used for signal amplification in a wide dynamic range when, practically, the same value of the relative error of different amplification factors is required. It is shown that values of the mean and standard deviation of the mean amplification factor relative errors are proportional to the square of the resistance relative standard deviation: formulas (7), (8), (10). Moreover, it is shown that the mean error value do not practically depended on the number of used resistors. The error standard deviation decreases proportionally to the root square of the number of resistors. The characteristics of the amplification factor relative errors calculated by analytical formulas and by the Monte Carlo method for different number of feed-back resistors (from 2 to 100) are shown in Fig. 3. Based on the analysis of the influence of switch variation resistance on the amplification factor error, the condition (13) for correct choice of switches is obtained. It is shown that using resistors with the relative standard deviation of 0,1% and switches whose resistance deviation corresponds to the condition (13), it is possible to obtain the amplification factor accuracy of a few ppm.