• Title/Summary/Keyword: reduced-order control

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Coprime Factor Reduction of Parameter Varying Controller

  • Saragih, Roberd;Widowati, Widowati
    • International Journal of Control, Automation, and Systems
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    • v.6 no.6
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    • pp.836-844
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    • 2008
  • This paper presents an approach to order reduction of linear parameter varying controller for polytopic model. Feasible solutions which satisfy relevant linear matrix inequalities for constructing full-order parameter varying controller evaluated at each polytopic vertices are first found. Next, sufficient conditions are derived for the existence of a right coprime factorization of parameter varying controller. Furthermore, a singular perturbation approximation for time invariant systems is generalized to reduce full-order parameter varying controller via parameter varying right coprime factorization. This generalization is based on solutions of the parameter varying Lyapunov inequalities. The closed loop performance caused by using the reduced order controller is developed. To examine the performance of the reduced-order parameter varying controller, the proposed method is applied to reduce vibration of flexible structures having the transverse-torsional coupled vibration modes.

Current Controlled PWM Inverter Using Reduced-Order State Observer (최소 차원 상태 관측기를 사용한 전류 제어형 PWM 인버터에 관한 연구)

  • Kim, J.S.;Lee, C.D.;Park, O.S.;Choi, S.Y.;Kim, Y.C.;Woo, J.I.
    • Proceedings of the KIEE Conference
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    • 1995.07a
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    • pp.300-302
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    • 1995
  • This paper describes a current control method for a single-phase PWM inverter. The proposed PWM inverter utilizes the instantaneous control method which is based on the real-time digital feedback control and the microprocessor-based deadbeat control. For the deadbeat current controller, the system's order becomes a high order and increases computation delay time. Therefore, The delay time produces current ripple. To minimize the current ripple, a new method based on deadbeat control theory for current regulation is proposed. It is constructed by a reduced-order state observer which predicts the output current in next sampling instant.

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Application to the design of reduced-order robust MPC and MIMO identification

  • Lee, Kwang-Soon;Kim, Sang-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.313-316
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    • 1997
  • Two different issues, design of reduced-order robust model predictive control and input signal design for identification of a MIMO system, are addressed and design techniques based on singular value decomposition(SVD) of the pulse response circulant matrix(PRCM) are proposed. For this, we investigate the properties of the PRCM, which is a periodic approximation of a linear discrete-time system, and show its SVD represents the directional as well as the frequency decomposition of the system. Usefulness of the PRCM and effectiveness of the proposed design techniques are demonstrated through numerical examples.

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Reduced Order Model and Decoupled Control of TWO Cooperating Manipulators for Moving an Object (단일물체 이동작업을 위한 두 협동 매니퓰레이터의 감소차수 모델과 감결합 제어)

  • Kang, Seok-Won;Jeong, Kwang-Son;Park, Chong-Kug
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.805-808
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    • 1991
  • In this paper, dynamical model and control architecture are developed for the closed chain motion of two N-joint manipulators holding a rigid object. Controller consist of forward controller which is reduced order model and compensator that compensates for modeling error. Control laws are determined so as to decouple the force and position controlled degree of freedom(DOF) during motion of the system.

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A Study on Speed Control of Three-Phase Induction Motor Based on The Reduced Order Observer Theory (최소차수 옵서버 이론을 이용한 3상 유도전동기의 속도제어에 관한 연구)

  • Yoon, Byung-Do;Cheong, Dal-Ho
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.294-297
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    • 1988
  • THIS PAPER IS PROPOSED A NOVEL FLUX OBSERVER BASED ON GOPINATH REDUCED ORDER OBSERVER FOR VECTOR CONTROL OF INDUCTION MOTOR. WE SUGGEST RESULT OF SIMULATION ON THE PAPER. WE WILL CONSTRUCT FLUX VECTOR FEEDBACK CONTROL TYPE FOR INDUCTION MOTOR USING FULX OBSERVER.

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V/f Control of the SPMSM with stabilizing loop using a reduced order observer (축소차수 관측기를 이용한 SPMSM의 V/f제어)

  • Park, Soon-Je;Kim, Young-Seok
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.962-963
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    • 2015
  • This paper proposes a sensorless V/f control method of the interior mounted permanent magnet synchronous motor without damper winding. Arithmetic computation is simpler than vector control. And the lower cost price, dynamics and stability is guaranteed. When the loss of synchronization occurs with the load disturbances, the stability loop with a reduced order observer is applied quickly and accurately to improve the speed error.

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Zero Power Levitation Control of Controlled-PM Electromagnet Levitation System by Reduced Order Extended State Observer (최소차원 확장형 상태관측기에 의한 제어형 영구자석 자기 부상 시스템의 제로전력 부상 제어)

  • Kim, Youn-Hyun;Kim, Sol;Lee, Ju
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.9
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    • pp.515-521
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    • 2002
  • This paper presents the scheme that improves control responsibility and stability of the controlled-PM electromagnet levitation system with zero Power controller. A magnetically levitation system is used widely because friction can almost be disappeared. But it is difficult to control due to restraint of controllable area and nonlinear characteristics of electromagnetic force, which is proportioned to a square of the magnetic flux density and is in inverse proportion to a square of the air-gap. So, the application of observer theory in which the levitation system is considered to be a linear dynamic model has resulted in omitting the time dependence on mover's speed. Consequently, the performance of the observer is quite poor during transients. Therefore, this paper proposed the controlled-PM electro-magnetic levitation control method in which the variable load is estimated by using the reduced order extended luenverger observer and its system is controlled at a new zero power equilibrium air-gap position. It is also verified that the proposed control method improve the control performance through simulation and experiment.

Design of a Fuzzy Model Based Reduced Order Unknown Input Observer for a Class of Nonlinear Systems (비선형계를 위한 퍼지모델 기반 감소차수 미지입력관측자 설계)

  • Lee, Kee-Sang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.7
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    • pp.1247-1253
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    • 2008
  • A design method of a T-S fuzzy model based reduced order nonlinear unknown input observer(NUIO) is presented. The fuzzy NUIO is designed based on the parallel distributed compensation(PDC) concept. It consists of a number of the linear UIOs, each of which is designed for each local linear model in the T-S fuzzy model of a class of nonlinear systems. The fuzzy NUIO provides not only the state estimates insensitive to the unknown inputs, for example, disturbances and faults etc., but also the estimates of the unknown inputs. Therefore, It can be employed in the state feedback control and disturbance rejection control of a class of nonlinear systems with unknown disturbances. It also applied to the robust residual generation for the fault detection and isolation systems and to the design of fault tolerant control systems. As an example, the NUIO is applied to an inverted pendulum system to show the state and disturbance estimation performance and to illustrate the fuzzy reduced order NUIO design method.

Realization of DeadBeat Controlled PWM Inverter using Reduced-Order State Observer (최소 차원 상태관측기를 사용한 DeadBeat 제어 PWM인버터의 실현)

  • Lee, C.D.;Shin, D.R.;Jeong, Bong-Chul;Kim, J.S.;Cho, Y.H.;Woo, J.I.
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.281-283
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    • 1995
  • Deadbeat controlled PWM Inverter is realized. This PWM inverter performs the instantaneous control method which is based on the real-time digital feedback control and the microprocessor-based deadbeat control. For the deadbeat current controller, the system's order becomes a high order and increases computation delay time. Therefore, The delay tine produces current ripple. To minimize the current ripple, a new method based on deadbeat control theory for current regulation is proposed. It is constructed by a reduced-order state observer which predicts the output current in next sampling instant.

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A PI-type State Feedback Control of Seesaw System Using Reduced-order Observer (축소차수 관측기를 이용한 시소시스템의 Pl형 상태피드백 제어)

  • Ryu, Ki-Tak;Lee, Yun-Hyung;Yoo, Heui-Han;Jung, Byung-Gun;Kim, Jong-Su;So, Myung-Ok
    • Journal of Navigation and Port Research
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    • v.31 no.10
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    • pp.853-858
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    • 2007
  • In this paper, a seesaw system composed with a moving cart on the rail and seesaw frame is made to demonstrate the effectiveness of the control theory. The control aim is to maintain an equilibrium of seesaw frame in spite of various initial conditions and an allowable disturbance. To solve this control problem, a PI-type state feedback controller using reduced-order observer is implemented and applied to the seesaw system. The reduced-order observer can be used to estimate the state variables in the case of the limit of sensor number or the constraint on setting sensors and the cost. A series of simulation are carried out to verify the effectiveness of the control system.