Transformation of Hybrid Systems: Application to Reduced Order Observer Design

Alexey Shumsky, Alexey Zhirabok, Bin Jiang, and Hao Yang


hybrid systems, observers, model transformation, pair algebra of partitions


The problem of hybrid systems transformation is considered. Solution to this problem is motivated by multiple practical tasks, including diagnostic observer design, full decoupling with respect to disturbances, fault accommodation, so on. The methods are proposed for coordinated transformation of discrete and continuous subsystems included into hybrid system under consideration. Pair algebra of partitions and differential geometric tools are involved for solving this problem.

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