• 제목/요약/키워드: LMIs

검색결과 244건 처리시간 0.021초

Guaranteed Cost Control for a Class of Uncertain Delay Systems with Actuator Failures Based on Switching Method

  • Wang, Rui;Zhao, Jun
    • International Journal of Control, Automation, and Systems
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    • 제5권5호
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    • pp.492-500
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    • 2007
  • This paper focuses on the problem of guaranteed cost control for a class of uncertain linear delay systems with actuator failures. When actuators suffer "serious failure" the never failed actuators can not stabilize the system, based on switching strategy of average dwell time method, under the condition that activation time ratio between the system without actuator failure and the system with actuator failures is not less than a specified constant, a sufficient condition for exponential stability and weighted guaranteed cost performance are developed in terms of linear matrix inequalities (LMIs). Finally, as an example, a river pollution control problem illustrates the effectiveness of the proposed approach.

Improved Digital Redesign for Fuzzy Systems: Compensated Bilinear Transform Approach

  • 김도완;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제15권6호
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    • pp.765-770
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    • 2005
  • This paper presents a new intelligent digital redesign (IDR) method via the compensated bilinear transformation to design the digital controller such that the digital fuzzy system is equivalent to the analog fuzzy system in the sense of the state-matching. This paper especially consider a multirate control scheme with a predictive feature, where the digital control input is held constant N times between the sampling points. More precisely, the multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the state measured at the sampling points, the delayed measurements. For this system, the IDR conditions incorporated with stabilizability in the format of the linear matrix inequalities (LMIs) are derived. The superiority of the proposed technique is convincingly visualized through a numerical example.

파라미터 불확실성을 갖는 이산시간 어핀 T-S 퍼지 시스템의 제어기 설계 (Controller Design for Discrete-Time Affine T-S Fuzzy System with Parametric Uncertainties)

  • 이상인;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 D
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    • pp.2516-2518
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    • 2004
  • This paper proposes a stability condition in discrete-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties and then, introduces the design method of a fuzzy-model-based controller which guarantees the stability. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of linear matrix inequalities (LMIs).

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시간 지연 시스템을 위한 적분 슬라이딩 모드 제어기의 LMI 기반 설계 (LMI-based Design of Integral Sliding Mode Controllers for Time-Delay Systems)

  • 최한호
    • 전기학회논문지
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    • 제58권12호
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    • pp.2480-2483
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    • 2009
  • This paper presents an LMI-based method to design a integral sliding mode controller for a class of uncertain time-delay systems. Using LMIs we derive an existence condition of a sliding surface guaranteeing the asymptotic stability of the sliding mode dynamics. 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. We also give LMI existence conditions of sliding surfaces guaranteeing a-stability or LQ performance constraint. Finally, we give a numerical design example to show the effectiveness of the proposed method.

갈륨 소스를 이용한 집속이온빔 컬럼 개발 (Development of Focused Ion Beam Column Using Ga Source)

  • 김창조;이재승;최윤;최은하;박철우;김종국;김영권;엄창용
    • 대한기계학회논문집A
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    • 제33권3호
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    • pp.185-189
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    • 2009
  • Focused ion beam system was designed, which includes LMIS, electrostatic lens and high voltage power supply. Control program is updated for high speed image processing. The details of vibration-free vacuum system and other important electrical parts were trouble-shooted for appropriately controlling high acceleration voltages.

고정 구조를 가지는$H_\infty$ 전력계통 안정화 장치 설계 (Design of a Fixed-Structure H$_{\infty}$ Power System Stabilizer)

  • 김석주;이종무;권순만;문영현
    • 대한전기학회논문지:전력기술부문A
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    • 제53권12호
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    • pp.655-660
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    • 2004
  • This paper deals with the design of a fixed-structure $H_\infty$ power system stabilizer (PSS) by using an iterative linear matrix inequality (LMI) method. The fixed-structure $H_\infty$ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, a linear penalty function is incorporated into the objective function so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Numerical experiments show the practical applicability of the proposed algorithm.

시간지연 시스템에 대한 혼합 $H_2$/$H_{\infty}$ 출력궤환 제어기 설계 (Mixed $H_2$/$H_{\infty}$ Output Feedback Controller Design for Time-Delayed System)

  • 양혜진;김종해;조용철;박흥배
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.331-331
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    • 2000
  • This paper presents the mixed $H_2/H_{\infty}$ output feedback controIler design method for linear systems with delayed state. The objective is to design the output feedback controller which minimizes the H$_2$-norm of one transfer function while ensuring the H$_{\infty}$-norm of the other is held below a chosen level. When objective is tormulated in terms of a common Lyapunov function, the sufficient conditions of existence of mixed $H_2/H_{\infty}$ controller are given in terms of LMIs. terms of LMIs.

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Controller Design for Fuzzy Systems via Piecewise Quadratic Value Functions

  • Park, Jooyoung;Kim, JongHo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제4권3호
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    • pp.300-305
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    • 2004
  • This paper concerns controller design for the Takagi-Sugeno (TS) fuzzy systems. The design method proposed in this paper is derived in the framework of the optimal control theory utilizing the piecewise quadratic optimal value functions. The major part of the proposed design procedure consists of solving linear matrix inequalities (LMIs). Since LMIs can be solved efficiently within a given tolerance by the recently developed interior point methods, the design procedure of this paper is useful in practice. A design example is given to illustrate the applicability of the proposed method.

갈륨액체금속 이온원과 인듐액체금속 이온원의 빔 특성에 대한 연구 (The study of beam characteristics for Ga LMIS and In LMIS)

  • 현정우;임연찬;정강원;정원희;박철우;이종항;강승언
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2005년도 춘계학술대회 논문집
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    • pp.360-363
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    • 2005
  • 본 연구에서는 인듐 액체금속이온원을 제작하여 빔 특성에 대해 연구를 하였으며, 기존의 연구를 하였던 갈륨 액체금속 이온원의 빔특성과 비교분석 하였다. 빔특성 분석을 위해 빔 안정도, 전류-전압특성곡선, 에너지 퍼짐을 측정하였다. 액체금속이온원에 사용되는 액체금속 저장소 및 바늘전극(tip)은 $500{\mu}m$의 직경을 갖는 텅스텐을 사용하였으며, 국내에서 제작된 제품을 사용하였다. 액체금속 저장소의 구조는 이전에 구상하여 연구가 이루어진 6개의 pre-etching된 텅스텐와이어(wire)가 묶여진 형태를 사용하였다.

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T-S 퍼지 모델을 이용한 역진자 시스템의 안정화 제어기 설계 (Design of Stabilizing Controller for an Inverted Pendulum System Using The T-S Fuzzy Model)

  • 배현수;권성하;정은태
    • 제어로봇시스템학회논문지
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    • 제8권11호
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    • pp.916-921
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    • 2002
  • We presents a new method of constructing an equivalent T-S fuzzy model by using the sum of products of linearly independent scalar functions from nonlinear dynamics. This method exactly expresses nonlinear systems and automatically determines the number of rules. We design a stabilizing controller f3r ul inverted pendulum system by using the concep of parallel distributed compensation (PDC) and linear matrix inequalities (LMIs) based on the proposed T-S fuzzy modeling method. We show effectiveness of a systematically designed fuzzy controller based on the proposed T-S fuzzy modeling method through the simulation and experiment of an inverted pendulum system.