• Title/Summary/Keyword: LMIS

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Robust and Non-fragile $H^{\infty}$ Output Feedback Controller Design for Parameter Uncertain Systems with Time Delay (시간지연을 가지는 파라미터 불확실성 시스템에 대한 견실 비약성 $H^{\infty}$출력궤환 제어기 설계)

  • 손준혁;조상현;김기태;박홍배
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.17-20
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    • 2002
  • This paper describes the synthesis of robust and non-fragile Η$^{\infty}$ output feedback controller for parameter uncertain systems with time delay. The sufficient condition of controller existence, and the design method of robust and non-fragile Η$^{\infty}$ output feedback controller are presented. The obtained conditions can be represented as parameterized LMIs, and PLMIs feasibility problems involve infinitely many LMIs hence are very hard to solve. Therefore, PLMIs are replaced by a finite set of LMIs using relaxation techniques(separated convexity concepts). This method is potentially conservative but often provide practically exploitable solutions of difficult problems with a reasonable computational effort. The compatibility of resulting controller is illustrated by numerical example.

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Development of Land Management Information System(LMIS) (토지관리정보체계 시스템구축방안 -시스템개발을 중심으로-)

  • 서창완;문은호;최병남;김대종
    • Spatial Information Research
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    • v.9 no.1
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    • pp.73-89
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    • 2001
  • In the recent rapidly changing technology environment the computerization of administration business using GIS is driven or will be driven to give improved information services for the people by local government or central government with huge budget. Development of GIS for local governments is investigated with huge budge. Development of GIS for local governments is investigated to prevent local government from investing redundant money and to reuse the existing investment at this time. The purpose of this study is finding the development method of Land Management Information System (LMIS) to give service and share data in various computing environment of local governments. To do this, we have to develop LMIS as open system with interoperability and we explain it with a focus to framework of Open LMIS. According to recent trend of technology we developed Open LMIS for convenient maintenance with nationwide LMIS expansion at hand. This system was developed at the $\ulcorner$Land Management Information System Development$\lrcorner$project which was managed by Ministry of Construction and Transportation (MOCT). GIS application was based on OpenGIS CORBA specification for development of standard interface and RUP(Rational Unified Process) for development method and LML(Unified Modeling Language) for system design. Developed systems were land administration system for local government, spatial planning support system for regional government, and land policy support system for MOCT.

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Fuzzy Controller Design for Markovian Jump Nonlinear Systems

  • Dong, Jiuxiang;Yang, Guang-Hong
    • International Journal of Control, Automation, and Systems
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    • v.5 no.6
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    • pp.712-717
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    • 2007
  • This paper is concerned with the problem of state feedback control of continuous-time nonlinear Markovian jump systems, which are represented by Takagi-Sugeno fuzzy models. A new method for designing state feedback stabilizing controllers is presented in terms of solvability of a set of linear matrix inequalities (LMIs), and it is shown that the new design method provides better or at least the same results of the existing method in the literature. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

LMI-based Design of Integral Sliding Mode Controllers (적분 슬라이딩 모드 제어기의 LMI 기반 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.6
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    • pp.563-566
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    • 2009
  • This paper presents an LMI-based method to design a integral sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Our method is a generalization of the previous integral sliding mode control design methods. Since our method is based on LMIs, it gives design flexibility for combining various useful design criteria that can be captured in the LMI-based formulation.

ASYMPTOTIC STABILITY OF LINEAR SYSTEM OF NEUTRAL TYPE WITH TIME-VARYING DELAY

  • Park, Ju-H.
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.297-303
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    • 2001
  • In this paper, the problem of the stability analysis for a class of linear neutral systems with time-varying delay is investigated. Using the Lyapunov method, a delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs) is presented. The LMIs can be easily solved by various convex optimization algorithms.

Robust stability analysis of uncertain linear systems with input saturation using piecewise Lyapunov functions (불연속 리아푸노프 함수를 이용한 입력제한이 있는 불확실 선형 시스템의 안정성 해석)

  • Lee, Sang-Moon;Won, Sang-Chul
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.131-134
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    • 2003
  • In this paper, we consider the problem of finding the stability region in state space for uncertain linear systems with input saturation. For stability analysis, two Lyapunov functions are chosen. One is for the lineal region and the other is for the saturated legion. Piecewise Lyapunov functions are obtained by solving successive linear matrix inequalites(LMIs) relaxations. A sufficient condition for robust stability is derived in the form of stability region of initial conditions. A numerical example shows the effectiveness of the proposed method.

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Decentralized Dynamic Controller Design for Uncertain Large-Scale Systems (섭동을 가지는 대규모 시스템의 다이나믹 제어기 설계)

  • Park, J.H.;Won, S.
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.469-471
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    • 1999
  • In this paper, a dynamic output feedback controller design technique for robust decentralized stabilization of uncertain large-scale systems is presented. Based on the Lyapunov method, a sufficient condition for robust stability, is derived in terms of three linear matrix inequalities(LMIs). The solutions of the LMIs can be easily obtained using efficient convex optimization techniques.

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On Delay-Dependent Stability of Neutral Systems with Mixed Time-Varying Delay Arguments

  • Park, H.J.
    • KIEE International Transaction on Systems and Control
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    • v.12D no.1
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    • pp.39-42
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    • 2002
  • This paper focuses on the asymptotic stability of a class of neutral linear systems with mixed time-varying delay arguments. Using the Lyapunov method, a delay-dependent stability criterion to guarantee the asymptotic stability for the systems is derived in terms of linear matrix inequalities (LMIs). The LMIs can be easily solved by various convex optimization algorithms. Two numerical examples are given to illustrate the proposed methods.

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Positive Real Control for Uncertain 2-D Singular Roesser Models

  • Xu Huiling;Xie Lihua;Xu Shenyuan;Zou Yun
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.195-201
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    • 2005
  • This paper discusses the problem of positive real control for uncertain 2-D linear discrete time singular Roesser models (2-D SRM) with time-invariant norm-bounded parameter uncertainty. The purpose of this study is to design a state feedback controller such that the resulting closed-loop system is acceptable, jump modes free and stable, and achieves the extended strictly positive realness for all admissible uncertainties. A version of positive real lemma for the 2-D SRM is given in terms of linear matrix inequalities (LMIs). Based on the lemma, a sufficient condition for the solvability of the positive real control problem is derived in terms of bilinear matrix inequalities (BMIs) and an iterative procedure for solving the BMIs is proposed.