# 시변 불확실성을 가지는 선형 시스템을 위한 반복 제어 시스템의 설계

• 정명진 (한국과학기술원 전자전산학과) ;
• 도태용 (한밭대학교 전기전자제어공학부)
• Published : 2005.01.01

#### Abstract

This paper considers a design problem of the repetitive control system for linear systems with time-varying norm bounded uncertainties. Using the Lyapunov functional for time-delay systems, a sufficient condition ensuring robust stability of the repetitive control system is derived in terms of an algebraic Riccati inequality (ARI) or a linear matrix inequality (LMI). Based on the derived condition, we show that the repetitive controller design problem can be reformulated as an optimization problem with an LMI constraint on the free parameter.

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