• 제목/요약/키워드: reduced-order control

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월쉬 함수에 의한 선형 시불변 고차 시스템의 모델 축소 방법 (A method to reduce the order of high-order LTI system via Walsh function.)

  • 안두수;박준훈;김민형;임윤식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.302-304
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    • 1992
  • This paper presents the method to reduce the order of high-order linear time invarient system via Walsh function. It is based on the matrix pseudoinverse algorithm to determine the parameters of the reduced model which minimize the sum of the squares of the errors between the reponses of the high-order system and a reduced model to a given input. This proposed method can be conveniently implemented with a computer. They will be very useful in the study of control system via Walsh function.

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증류공정 차수감소 모델의 개발 extended kalmen filter에 의한 실시간대에서의 조정 (Development of a reduced-order distillation model and real-time tuning using the extended kalmen filter)

  • 정재익;최상열;이광순
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1988년도 한국자동제어학술회의논문집(국내학술편); 한국전력공사연수원, 서울; 21-22 Oct. 1988
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    • pp.466-470
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    • 1988
  • A tunable reduced-order distillation model is proposed for real-time applications. To develop the model, a binary distillation column with MaCabe-Thiele assumptions was considered first and then the governing equations for the column were reduced to a simplified vector differential equations using the collocation method combined with cubic spline interpolation function. The final reduced-order model has four tuning parameters, relative volatilities and liquid holdups for rectifying and stripping sections, respectively. To assess the applicability of the developed model,the real-time adjustment of the model was tried by recursively updating the tuning parameters using the BKF algorithm. As a result, it was found that the reduced-model follows the simulated distillation process very closely as the parameters are improved.

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LQR 제어기를 이용한 밀폐음장의 능동소음제어 (fictive Noise Control of Enclosed Sound Field Using LQR Controller)

  • 유우열;김우영;황원걸;이유엽
    • 한국소음진동공학회논문집
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    • 제12권1호
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    • pp.12-20
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    • 2002
  • To control the noise of an enclosed sound field, we built a state space model using the acoustic modal parameter description. Using the state space model, we can investigate the controllability and observability, and find an appropriate position of control speaker and microphone to control sound field of the enclosed space. We implemented LQR(linear quadratic regulator) controller and reduced order observer to reduce the first acoustic mode. Experiments showed satisfactory results of 4∼10 dB reduction of magnitude of the first acoustic mode, and support the feasibility of the proposed scheme to lightly damped acoustic field.

비선형모델을 이용한 matrix convertor로 구동되는 축소차원 확장 루엔버거 관측기기반의 유도전동기 센서리스 벡터제어의 성능개선 (Performance Improvement of Reduced Order Extended Luenberger Observer(ROELO) based Sensorless Vector Control Fed by Matrix Converter With Non-linearity Modeling)

  • 이교범
    • 전력전자학회논문지
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    • 제10권4호
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    • pp.363-372
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    • 2005
  • 본 논문에서는 비선형 모델링 기법을 이용하여 matrix convertor로 구동되는 유도전동기 구동장치의 성능개선을 위한 새로운 센서리스 기법을 제안한다. 각 스위치에서 발생하는 전환지연과 스위치 소자의 전압강하등과 같은 matrix converter의 비선형 특성을 모델링하여 보상함으로써 저속영역에서의 속도제어성능을 향상시킨다. 전속도 영역에서의 속도 센서리스 제어성능을 향상시키기 위해 축소차원 확장 루엔버거 관측기를 적용하고, 제안한 관측기 이득의 설정방법을 제안한다. 실험을 통해 제안한 제어 알고리즘의 타당성을 검증한다

Lyapunov 부등식을 이용한 주파수하중 차수축소 (Frequency weighted reduction using Lyapunov inequalities)

  • 오도창;정은태;이상경
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.12-12
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    • 2000
  • This paper consider a new weighted model reduction using block diagonal solutions of Lyapunov inequalities. With the input and/or output weighting function, the stability of reduced order system is quaranteed and a priori error bound is proposed. to achieve this, after finding the solutions of two Lyapunov inequalities and balancing the full order system, we find the reduced order systems using the direct truncation and the singular perturbation approximation. The proposed method is compared with other existing methods using numerical example.

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Routh Approximants with Arbitrary Order

  • Younseok Choo;Kim, Dongmin
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권1호
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    • pp.50-53
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    • 1999
  • It has been pointed out in the literature that the Routh approximation method for order reduction has limitations in treating transfer functions with the denominator-numerator order difference not equal to one. The purpose of this paper is to present a new algorithm based on the Routh approximation method that can be applied to general rational transfer functions, yield ing reduced models with arbitrary order.

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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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이산형 적응관측자 및 제어기의 새로운 구성 (A new scheme for discrete implicit adaptive observer and controller)

  • 고명삼;허욱열
    • 전기의세계
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    • 제30권12호
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    • pp.822-831
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    • 1981
  • Many different schemes of the adaptive observer and controller have been developed for both continuous and discrete systems. In this paper we have presented a new scheme of the reduced order adaptive observer for the single input discrete linear time invariant plant. The output equation of the plant, is transformed into the bilinear form in terms of system parameters and the states of the state variable filters. Using the plant output equation the discrete implicit adaptive observer based on the similar philosophy to Nuyan and Carroll is derived and the parameter adaptation algorithm is derived based on the exponentially weighted least square method. The adaptive model following control system is also constructed according to the proposed observer scheme. The proposed observer and controller are rather than simple structure and have a fast adaptive algorithm, so it may be expected that the scheme is suitable to the practical application of control system design. The effectiveness of the algorithm and structure is illustrated by the computer simulation of a third order system. The simulation results show that the convergence speed is proportinal to the increasing of weighting factor alpha, and that the full order and reduced order observer have similar convergence characteristics.

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Prototype의 새로운 Electric Power Steering (EPS) System의 개발 (Development of a Prototype New Electric Power Steering (EPS) System)

  • 송정훈
    • 대한기계학회논문집A
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    • 제30권6호
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    • pp.684-690
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    • 2006
  • This study proposes and validates a new column type electric power steering system (EPS-TT). It is driven by a uni-directional motor and two electro-magnetic clutches. The assist motor produces assist torque in only one direction and two clutches transmit the torque to the column of steering system in either left or right direction with respect to the steering input. A full order and a reduced order models are developed to evaluate the EPS-TT. Models are also used to investigate the vehicle responses. A PID control logic is designed to control the torque of the assist motor. A driver model is applied to the system and the resulting performances are analyzed. The results show that the performances of the full order model are similar to those of reduced order model. The results also prove that the performances achieved by the EPS-TT are improved compared to those of a conventional EPS-TT across the frequency domain.