Journal Article Linear Quadratic Regulator with Decentralized Event-Triggering

Nakajima, Kyohei  ,  Kobayashi, Koichi  ,  Yamashita, Yuh

E100 ( 2 )  , pp.414 - 420 , 2017-02 , 電子情報通信学会(The Institute of Electronics, Information and Communication Engineers / IEICE)
Event-triggered control is a control method that the measured signal is sent to the controller only when a certain triggering condition on the measured signal is satisfied. In this paper, we propose a linear quadratic regulator (LQR) with decentralized triggering conditions. First, a suboptimal solution to the design problem of LQRs with decentralized triggering conditions is derived. A state-feedback gain can be obtained by solving a convex optimization problem with LMI (linear matrix inequality) constraints. Next, the relation between centralized and decentralized triggering conditions is discussed. It is shown that control performance of an LQR with decentralized event-triggering is better than that with centralized event-triggering. Finally, a numerical example is illustrated.

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