Saturated Sampled-Data Control of DAB DC–DC Converters via LPV Approach With Consideration of Mismatched Time-Varying Parameters

This paper focuses on addressing the problem of reference tracking control for dual-active bridge DC-DC converters through a combination of sampled-data and linear parameter varying (LPV) control approaches. For this purpose, we formulate an error state-space model for dual-active bridge DC-DC converters as an LPV system with input saturation and subsequently propose an improved sampled-data controller employing the looped-functional approach. Clearly, the novelty of this paper lies in the introduction of novel saw-tooth function-dependent states, which play a critical role in utilizing additional system information during the stability analysis process. Moreover, to address the issue of mismatched time-varying parameters stemming from the sampling process, we propose a systematic relaxation procedure to transform the parameter-dependent stabilization conditions into linear matrix inequalities. Finally, a comparison example and a simulation of the proposed approach for dual-active bridge DC-DC converters are provided to demonstrate its effectiveness.