• Title/Summary/Keyword: Digital redesign (DR)

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Delta-Operator-Based Digital Redesign of Linear Time-Invariant Systems

  • Lee, Ho-Jae;Park, Jin-Bae;Lee, Yeun-Woo;Joo, Young-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.942-944
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    • 2004
  • This paper proposes a delta-operator-based digital redesign (DR) technique. An asymptotic property of the delta-operator-based DR is analyzed. The performance recovery is proved as a sampling time approaches zero.

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Digita Redesign of Observer-Based Output Feedback Controller

  • Lee, Ho-Jae;Park, Jin-Bae;Cho, Kwang-Lae;Joo, Young-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.64.5-64
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    • 2002
  • This paper concerns a new digital redesign (DR) technique for an observer-based output-feedback control (OBOFC) system. The term DR involves converting an analog controller into an equivalent digital one in the sense of state-matching. The considered DR problem is formulated as convex minimization problems of the norm distances between linear operators to be matched. The stability condition is easily embedded and the separation principle on the DR of the OBOFC is explicitly shown. A numerical example is included for visualizing the feasibility of the proposed technique.

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Multirate Sampled-Data Control System: Optimal Digital Redesign Approach (멀티레이트 샘플치 시스템: 최적 디지털 재설계 기법)

  • Kim, Do-Wan;Park, Jin-Bae;Jang, Kwon-Kyu;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.708-710
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    • 2004
  • This paper studies a multirate sampled-data control for LTI systems by using the digital redesign (DR) method. In this note, to well tackle the problem associated with both the state matching and the stabilization, our nobel strategy is to minimize the linear quadratic cost function. The main features of the proposed method are that i) the delta-operator-based descretization method is applied to improve the state-matching performance in the fast sampling limit and/or the large input multiplicity; ii) the proposed multirate control scheme can improve the state-matching performance in the long sampling limit; iii) some sufficient conditions that guarantee the stability of the closed-loop discrete-time system and provide a guarantee cost for the cost function can be formulated in the LMIs format; and iv) an optimal sampled-data controller in the sense of minimizing the upper bound of the cost function is also given by means of an LMI optimization procedure.

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Robust Digital Redesign for Observer-based System (관측기 기반 시스템에 대한 강인 디지털 재설계)

  • Sung, Hwa-Chang;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.3
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    • pp.285-290
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    • 2007
  • In this paper, we presents robust digital redesign (DR) method for observer-based linear time-invariant (LTI) system. The term of DR involves converting an analog controller into an equivalent digital one by considering two condition: state-matching and stability. The design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between interpolated linear operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed the uncertain parts of given observer-based system more precisely, When a sampling period is sufficiently small, the conversion of a analog structured uncertain system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs).