• Title/Summary/Keyword: Weighting Matrices

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Delay-dependent stabilization for time-delay systems;An LMI approach

  • Cho, H.J.;Park, Ju-H.;Lee, S.G.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1744-1746
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    • 2004
  • This paper focuses on the problem of asymptotic stabilization for time-delay systems. To this end, a memoryless state feedback controller is proposed. Then, based on the Lyapunov method, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Certain free weighting matrices are used to express this relationship and linear matrix inequalities (LMIs)-based algorithm to design the controller stabilizing the system.

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The study on the relations between LQR and eigenstructure assignment (고유공간지정법과 LQR제어기법과의 관계 연구)

  • 김희섭;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1091-1094
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    • 1996
  • The Object of this study is to find the relations between LQR and eigenstructure assignment regulator. Algorithms for computing weighting matrices are proposed for the case that (i) closed-loop eigenvalues are specified, and (ii) closed-loop gain matrix is given. We also present a new eigenstructure assignment algorithm that minimizes a linear quadratic performance index.

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INDEFINITE STOCHASTIC OPTIMAL LQR CONTROL WITH CROSS TERM UNDER IQ CONSTRAINTS

  • Luo, Cheng-Xin;Feng, En-Min
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.185-200
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    • 2004
  • A stochastic optimal LQR control problem under some integral quadratic (IQ) constraints is studied, with cross terms in both the cost and the constraint functionals, allowing all the control weighting matrices being indefinite. Sufficient conditions for the well-posedness of this problem are given. When these conditions are satisfied, the optimal control is explicitly derived via dual theory.

Optimal Control of Nuclear Reactors by Digital Computer (전자계산기에 의한 원자로최적제어)

  • 천희영;박귀태
    • 전기의세계
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    • v.26 no.6
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    • pp.66-71
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    • 1977
  • In this paper a method is presented for the optimal control of a nuclear reactor at equilibrium state by use of a digital computer. Using the optimal control theory, we formulate the control problem of the reactor as a discrete-time linear regulator problem. A quadratic performance index is defined. The effects of choosing different performance index weighting matrices to the feedback gain matrix and reactor transient responses are studied for the deterministic optimal control with all state variables accessible to measurement.

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Design of Active Mass Damper to Improve Seismic Performance Using Capacity Spectrum Method (내진성능 향상을 위한 능력스펙트럼법에 의한 능동제어기 설계)

  • 김형섭;민경원
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2003.03a
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    • pp.259-266
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    • 2003
  • This paper begins with the seismic performance evaluation of an existing building, which exhibits the need of additional damping to reduce its response. Required damping ratio is found by capacity spectrum method to satisfy a target response. It is expressed with the design parameter of active mass damper by adopting Linear Quadratic Regulator, Optimal gains are obtained and then weighting matrices are found. Finally the seismic performance by added active mass damper is demonstrated, which satisfies the target response.

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Nuclear Power Control System Design using Genetic Algorithm

  • Lee, Yoon-Joon;Cho, Kyung-Ho
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05a
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    • pp.380-385
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    • 1996
  • The genetic algorithm(GA) is applied to the design of the nuclear power control system. The reactor control system model is described in the LQR configuration. The LQR system order is increased to make the tracking system. The key parameters of the design are weighting matrices, and these are usually determined through numerous simulations in the conventional design. To determine the more objective and optimal weightings, the improved GA is applied. The results show that the weightings determined by the GA yield the better system responses than those obtained by tile conventional design method.

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Swing Motion Control System Design Based on Frequency-shaped LQ Control (주파수 의존형 최적 레귤이터에 의한 크레인 흔들림 제어계 설계)

  • Kim, Y.B.;Jang, J.S.
    • Journal of Power System Engineering
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    • v.12 no.6
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    • pp.50-55
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    • 2008
  • In general, the swing motion of the crane is controlled and suppressed by activating the trolley motion. In many papers reported by us, we suggested a new type of anti-sway control system of the crane. In the proposed control system, a small auxiliary mass(moving-mass) is installed on the spreader and the swing motion is controlled by moving the auxiliary mass. The actuator reaction against the auxiliary mass applies inertial control forces to the container in order to reduce the swing motion in the desired manner. Futhermore the measuring systems based on image sensor have been proposed also. To obtain the robustness for our control system, $H_{\infty}$ based control techniques and other approach have been applied to suppress swing motion. As well known, the robust control technologies based on $H_{\infty}$ control need complicated and difficult process. In the result, the obtained closed-loop system becomes to high order system which may give us many difficulties to apply it to the real plants. Therefore, we introduce an easy approach which is based on LQ control theory. In this approach, we introduce the frequency dependent weighting matrices which give the system filters to shape frequency characteristics of the controlled system and guarantee the control performance.

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Analysis of English abstracts in Journal of the Korean Data & Information Science Society using topic models and social network analysis (토픽 모형 및 사회연결망 분석을 이용한 한국데이터정보과학회지 영문초록 분석)

  • Kim, Gyuha;Park, Cheolyong
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.1
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    • pp.151-159
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    • 2015
  • This article analyzes English abstracts of the articles published in Journal of the Korean Data & Information Science Society using text mining techniques. At first, term-document matrices are formed by various methods and then visualized by social network analysis. LDA (latent Dirichlet allocation) and CTM (correlated topic model) are also employed in order to extract topics from the abstracts. Performances of the topic models are compared via entropy for several numbers of topics and weighting methods to form term-document matrices.

Application of Optimal Control Techniques to SWATH Motion Control (반잠수 쌍동선의 최적 운동제어기 설계)

  • Chan-Wook Park;Bo-Hyeon Heo;Chun-Tae Song
    • Journal of the Society of Naval Architects of Korea
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    • v.31 no.2
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    • pp.65-77
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    • 1994
  • This paper presents a derailed application procedure of the linear quadratic(LQ) theory for a SWATH heave and pitch control. A time domain model of coupled, linear time-invariant second order differential equations is derived from the frequency response model with the frequency dependent added mass and damping approximated as constant values at the heave natural frequency. Wave exciting forces are modeled as a sum of sinusoids. A systematic selection procedure of state and control weighting matrices is presented to obtain good transient behavior and acceptable fin movement. The validity of this controller design process is throughly investigated by simulations both in time domain and frequency domain and singular value plots of transfer function matrices. The finally designed control system shows good overall performances revealing that the applicability of the present study is proved successful.

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Mooring Winch Control System Design Based on Frequency Dependent LQR Control Approach (주파수 의존형 LQR 설계법에 의한 무어링 윈치 제어시스템 설계)

  • Goo, Ja-Sam;Kim, Young-Bok
    • Journal of Navigation and Port Research
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    • v.38 no.1
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    • pp.29-37
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    • 2014
  • In this paper, the author consider control system design problem of the surface vessel where any types of floating units are included. To keep their motion/position, the Dynamic Positioning System(DPS) is equipped in. Even though sometimes the thrust systems are installed on them, in general the mooring winch system with the rope/wire is used. Therefore, in this paper we consider a single type mooring winch control problem to keep the vessel's position. For this, we introduce an easy and useful control approach which is based on LQ control theory. In this approach, we introduce the frequency dependent weighting matrices which give the system filters to shape frequency characteristics of the controlled system and guarantee the control performance. Based on this, we will show that the proposed approach works well.