Time-varying parameter system modeling method based on zonotope-ellipsoid double filtering

doi:10.16182/j.issn1004731x.joss.20-0727

Abstract

Abstract: The traditional system modeling method using zonotopes as the feasible parameter sets islikely to increase the computational complexity of the algorithm due to the increasing dimensions of the zonotope shape matrix. This paper proposes a time-varying parameter modeling systems method based on zonotope-ellipsoid double filtering technique. Considering the time-varying parameters, a zonotope with the minimum volume is obtained during the iterations of the intersection with the constraint strip. After transforming the shape matrix of the zonotope, the dimensionality reduction is performed, instead of directly finding the row sum of the extended shape matrix, to reduce the algorithm conservativeness originated from the zonotopic space transformation. Singular value decomposition is used to re-derive the dimensionality-reduced zonotopic shape matrix, so that it can maintain the same dimension as the identification parameter vector and reducedthe computational complexity of the modeling algorithm.

Key words: system modeling, time-varying parameter system, zonotope, filtering, dimensional reduction

CLC Number:

TP273

Wang Ziyun, Wang Peiyu, Zhan Yacong. Time-varying parameter system modeling method based on zonotope-ellipsoid double filtering[J]. Journal of System Simulation, 2020, 32(11): 2084-2092.

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