On the design of stochastic RST controllers based on the generalized minimum variance

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Original languageEnglish
Title of host publication2016 UKACC International Conference on Control, UKACC Control 2016
Pages1-6
Number of pages6
ISBN (electronic)9781467398916
Publication statusPublished - 1 Aug 2016

Abstract

This paper presents a general framework based on the RST structure for performing fair comparisons between deterministic and stochastic digital linear controllers. Due to the chosen RST formulation, it can be shown that any linear Single-Input Single-Output controller may be designed as a Generalized Minimum Variance Controller, i.e. as a stochastic controller. This in particular reduces the variance of the control signal and in turn leads to a better output characteristic. The method is applied to the controllers of an exemplary Single-Machine Infinite Bus system, namely the AVR and governor, where it is shown that the voltage and power regulation for the non-stochastic and the GMVC are similar whereas the control signal given by the latter is much smother than for the former, even using the same set of gains for both.

Keywords

    control system synthesis, linear systems, stochastic systems, stochastic RST controller design, generalized minimum variance controller, RST structure, deterministic digital linear controllers, stochastic digital linear controllers, RST formulation, linear single-input single-output controller, control signal, single-machine infinite bus system, AVR, governor, voltage, power regulation, GMVC, Stochastic processes, Output feedback, Generators, Mathematical model, Voltage control, Voltage measurement

ASJC Scopus subject areas

Cite this

On the design of stochastic RST controllers based on the generalized minimum variance. / Trentini, R.; Silveira, A.; Bartsch, M. T. et al.
2016 UKACC International Conference on Control, UKACC Control 2016. 2016. p. 1-6 7737552.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Trentini, R, Silveira, A, Bartsch, MT, Kutzner, R & Hofmann, L 2016, On the design of stochastic RST controllers based on the generalized minimum variance. in 2016 UKACC International Conference on Control, UKACC Control 2016., 7737552, pp. 1-6. https://doi.org/10.1109/control.2016.7737552
Trentini, R., Silveira, A., Bartsch, M. T., Kutzner, R., & Hofmann, L. (2016). On the design of stochastic RST controllers based on the generalized minimum variance. In 2016 UKACC International Conference on Control, UKACC Control 2016 (pp. 1-6). Article 7737552 https://doi.org/10.1109/control.2016.7737552
Trentini R, Silveira A, Bartsch MT, Kutzner R, Hofmann L. On the design of stochastic RST controllers based on the generalized minimum variance. In 2016 UKACC International Conference on Control, UKACC Control 2016. 2016. p. 1-6. 7737552 doi: 10.1109/control.2016.7737552
Trentini, R. ; Silveira, A. ; Bartsch, M. T. et al. / On the design of stochastic RST controllers based on the generalized minimum variance. 2016 UKACC International Conference on Control, UKACC Control 2016. 2016. pp. 1-6
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