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Robust l<SUP>∞</SUP> stabilization under datarate constraints
Yumiko Ishido,Kiyotsugu Takaba 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper is concerned with robust stabilization of an uncertain system over a rate-limited digital channel from the view point of input-out put stability. Because of the quantization in the communication channel, it is impossible to apply the traditional small gain theorem to establish robust stability of the feedback system. To over come this difficulty, we in troduce a new notion of small l<SUP>∞</SUP> signal l<SUP>∞</SUP> stability, and derive a sufficient robust stability condition a gainst l<SUP>∞</SUP> gain-bounded uncertainty based on this notion. Furthermore, for the case of a scalar nominal system, a sufficientd a tarate for the existence of a robustly stabilizing encoder-controller pairis explicitly given.