Probabilistic Controllability Analysis of Sampled-Data/Discrete-Time Piecewise Affine Systems

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  • AZUMA Shun-ichi
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • IMURA Jun-ichi
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology

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Other Title
  • サンプル値/離散時間区分的アファインシステムの確率的可制御性解析

Abstract

This paper proposes a new approach to solve the controllability (reachability) problem of sampled-data/discrete-time piecewise affine systems. First, an algebraic characterization for the system to be controllable (reachable) is derived. Next, based on this characterization, an approach to determine if the system is controllable (reachable) in a probabilistic sense is proposed based on a randomized algorithm. Finally, it is shown by numerical examples that the proposed approach is useful.

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