A differential game theory approach to DC-DC buck converter control
Alejandro Pascual
Master thesis from Universidad de la República (Uruguay). Facultad de Ingeniería. IIE - Sep. 2015
Advisor: Gabriel Eirea
Co-advisor: Enrique Ferreira
Research Group(s): (unspecified)
Department(s): Sistemas y Control
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This thesis deals with the problem of controlling a generic synchronous buck converter against unpredictable, and possibly discontinuous, but bounded load disturbances. The problem is canonically framed as a dynamical conflict between the automatic controller in charge of the output voltage regulation and an hypothetical disturber. In particular, the conflict is regarded as a pursuit-evasion game in distance. Applying classical methods of differential game theory, the game is completely solved identifing three qualitative different cases that can take place depending on how a positive derived parameter value compares to unity. The games solution provides optimal strategies for the controller and the disturber which can be used, respectively, for worst-case-aware control and benchmark testing (of any control method). Furthermore, from the topography of the games value function, qualitative and quantitative information about the physical limits of buck converter control is gained, allowing for early design stage optimization of the converters LC filter towards regulation performance, regardless of the control method that might finally be selected.

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