Development of a Simulator of a Class of Piecewise Affine Systems

Tsuyoshi KUNIKANE, Jun‐ichi Imura, Masami Saeki · Transactions of the Institute of Systems Control and Information Engineers · 2003

This paper treats the simulation problem of multi-modal piecewise affine systems with binary-switches. First, it is pointed out by numerical examples that some problems on the event detection occur in the existing simulators when a solution of the system crosses an intersection of multiple switching hyperplanes. Next, a new simulation algorithm is proposed under the switch-based transition rule.

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