• 제목/요약/키워드: Linear function

검색결과 4,310건 처리시간 0.038초

LMI를 이용한 축소차수 $H_{\infty}$ 제어기 설계 (Design of a reduced-order $H_{\infty}$ controller using an LMI method)

  • 김석주;정순현;천종민;김춘경;이종무;권순만
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.729-731
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    • 2004
  • This paper deals with the design of a low order $H_{\infty}$ controller by using an iterative linear matrix inequality (LMI) method. The low order $H_{\infty}$ 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 effectiveness of the proposed algorithm.

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A New Fuzzy Supervised Learning Algorithm

  • Kim, Kwang-Baek;Yuk, Chang-Keun;Cha, Eui-Young
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.399-403
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    • 1998
  • In this paper, we proposed a new fuzzy supervised learning algorithm. We construct, and train, a new type fuzzy neural net to model the linear activation function. Properties of our fuzzy neural net include : (1) a proposed linear activation function ; and (2) a modified delta rule for learning algorithm. We applied this proposed learning algorithm to exclusive OR,3 bit parity using benchmark in neural network and pattern recognition problems, a kind of image recognition.

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SRM의 토크리플 저감을 위한 개선된 논리적 비선형 토크분배기법 (Advanced Logical Non-Linear Torque Sharing Function for Torque Ripple Reduction of SRM)

  • 김태형;이동희;안진우
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2009년도 제40회 하계학술대회
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    • pp.887_888
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    • 2009
  • In this paper, an advanced torque control scheme of Switched Reluctance Motor (SRM) using modified non-linear logical TSF (Torque Sharing Function) based on the DITC (direct instantaneous torque control) with PWM(Pulse Width Modulation). In the proposed control scheme, a simple calculation of PWM duty ratio, switching rules from DITC and non-linear torque sharing function can reduce the torque ripple with fixed switching frequency. The proposed control scheme is verified by the computer simulations and experimental results.

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선형행렬부등식을 이용한 정적출력궤환 제어기 설계 (Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem)

  • 김석주;권순만;김춘경;문영현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권11호
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    • pp.747-752
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    • 2004
  • This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). 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. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.

A State Space Analysis on the Stability of Periodic Orbit Predicted by Harmonic Balance

  • Sung, Sang-Kyung;Lee, Jang-Gyu;Kang, Tae-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.67.5-67
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    • 2001
  • A closed loop system with a linear plant and nonlinearity in the feedback connection is analyzed for its quasi-static orbital stability by a state-space approach. First a periodic orbit is assumed to exist in the loop which is determined by describing function method for the given nonlinearity. This is possible by selecting a proper nonlinearity and a rigorous justification of the describing function method.[1-3, 18, 20]. Then by introducing residual operator, a linear perturbed model can be formulated. Using various transformations like a modified eigenstructure decomposition, periodic-averaging, charge of variables and coordinate transformation, the stability of the periodic orbit, as a solution of harmonic balance, can be shown by investigating a simple scalar function and result of linear algebra. This is ...

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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.

NEW INTERIOR POINT METHODS FOR SOLVING $P_*(\kappa)$ LINEAR COMPLEMENTARITY PROBLEMS

  • Cho, You-Young;Cho, Gyeong-Mi
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제13권3호
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    • pp.189-202
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    • 2009
  • In this paper we propose new primal-dual interior point algorithms for $P_*(\kappa)$ linear complementarity problems based on a new class of kernel functions which contains the kernel function in [8] as a special case. We show that the iteration bounds are $O((1+2\kappa)n^{\frac{9}{14}}\;log\;\frac{n{\mu}^0}{\epsilon}$) for large-update and $O((1+2\kappa)\sqrt{n}log\frac{n{\mu}^0}{\epsilon}$) for small-update methods, respectively. This iteration complexity for large-update methods improves the iteration complexity with a factor $n^{\frac{5}{14}}$ when compared with the method based on the classical logarithmic kernel function. For small-update, the iteration complexity is the best known bound for such methods.

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다중톤 재밍 환경에서 clipper 수신기를 사용하는 FFH/MFSK 시스템의 성능 분석 (Performance Analysis of FFH/MFSK System with Clipper Receiver in the Presence of Multitone Interference)

  • 전근표;곽진삼;권오주;박재돈;이재홍
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 통신소사이어티 추계학술대회논문집
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    • pp.15-19
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    • 2003
  • In this paper, the bit error rate (BER) performance of the fast frequency hopping/M-ary frequency shift keying system using the clipper receiver is analyzed by using the characteristic function (CF) technique in the presence of n=1 band multitone jamming and additive white Gaussian noise environment. The CFs of the clipper receiver outputs are derived as a infinite series representation using Gamma function and Marcum's Q -function. The analytical results are validated with various simulation results. Performance comparisons with linear combining receiver are shown that the BER performance of the clipper receiver is much better than that of the linear combining receiver In addition, as the clipping level approaches to infinity, it is shown that the clipper receiver simply performs a linear combining without clipping and there exists an optimum value of diversity level (the number of hops per symbol) that maximizes the worst case BER performance of the clipper receiver.

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선형계획법에 의한 수요관리 프로그램의 최적 지원금 결정에 관한 연구 (A Study on Determination of Optimal Incentives of DSM Programs by Linear Programming)

  • 이병하;김정훈
    • 전기학회논문지
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    • 제60권3호
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    • pp.517-523
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    • 2011
  • A lot of DSM (Demand Side Management) programs have been implemented to promote the effective utilization of resources and the rational development of power industry, and various economic analyses and policy-based studies on DSM have been executed to determine effective subsidy budget. In this paper, a new objective function for deciding an optimal incentive allocation among various programs is presented by introducing the maximization of the total saving power of the programs. For simplicity, the objective function and the constraints is linearized to apply LP(Linear Programming) method. LP program based on Simplex Method was developed by MATLAB. An optimal incentive allocation of 4 DSM programs is presented by the use of the developed MATLAB program.

전압안정도를 고려한 연속선형계획법 기반 최적조류계산 (Voltage Stability Constrained Optimal Power Flow based on Successive Linear Programming)

  • 배승철;신용선;이병준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 추계학술대회 논문집 전력기술부문
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    • pp.220-223
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    • 2003
  • This paper presents VSCOPF(Votage Stability Constrained Optimal Power Flow) algorithm based on SLP(Successive Linear Programming) to interpret the large scale system. Voltage stability index used to this paper is L index to be presented by function form. The objective function consists of load shedding cost minimization. Voltage stability indicator constraint was incorporated in traditional OPF formulation. as well as the objective function and constraints are linearlized and the optimal problem is performed by SLP(Successive Linear Programming). In this paper, the effect of voltage stability limit constraint is showed in the optimal load curtailment problems. As a result, an optimal solution is calculated to minimize load shedding cost guaranteeing voltage security level. Numerical examples using IEEE 39-bus system is also presented to illustrate the capabilities of the proposed formulation.

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