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Set-membership filtering based Bi-directional DC-DC converter state estimation algorithm for lithium battery formation

This paper presents an improved zonotopic set-membership identification method adapted in Bi-directional DC-DC converter estimation for lithium battery formation. Firstly, the Bi-directionl DC-DC converter is modeled by a two-qudrant operating convertor. Then, at predictive step, a novel expansive zonotope is obtained by affine transformation of the zonotope calculated. Besides, at updated step, a strip space is constructed by using observations obtained. Singular value decomposition idea is used to reduce the zonotopic dimension, so as to prevent the shape of zonotope from becoming more comple, and the reduced zonotope is tightened again with the strip space. In the simulation part, the inductive current and capacitive voltage of Bidirectional DC-DC converter are estimated accurately, and the compactness of the algorithm are verified in Buck mode and Boost mode, respectively.