• Title/Summary/Keyword: reduced order state feedback

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Reduced-order Controller Design using Projective Controls (투영제어 기법을 이용한 제어기의 저차수화 설계)

  • Sang-Woo Nam
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.7
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    • pp.943-951
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    • 1995
  • In this paper the projective controls, previously derived to preserve the dynamic modes of a state-feedback reference system, are extended to allow the preservation of the modes of a general output-feedback reference system. In general, the extension allows projective controls to be used as a controller approximation technique, where a reduced-order controller is designed to approximate the closed-loop behavior of the higher-order reference controller. This extension is useful if the best available reference control for the system is an output-feedback control. An example shows that the increased design freedom of proposed design method allows the stabilization of a given plant using a lower-order controller than the projective controls with state-feedback reference.

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Extended State Estimation Method Using Linear Reduced-Order Dynamic Observers (선형 축소차수 동적 관측자를 사용한 확장된 상태 추정 방법)

  • Park, Jong-Gu
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.6
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    • pp.487-493
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    • 2001
  • In this paper, a new reduced-order dynamic observer method is presented. Two types of observers are pronounced, namely, the model based reduced-order dynamic observer and the Luenburger type reduced-order dynamic observer. Useful design algorithms are also provided for each structure. The essential features of the proposed observed design methods are addressed to be qualified ad effective observers. The proposed method clarifies the duality between the controller and observer designs.

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Stabilization Control of Inverted Pendulum Systems Using a State Observer (상태관측기를 이용한 도립진자 시스템의 안정화 제어)

  • Lee, Yun-Hyung;Ahn, Jong-Kap;Kim, Min-Jeong;So, Myung-Ok;Jin, Gang-Gyoo
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.11a
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    • pp.49-50
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    • 2005
  • This paper presents a scheme for state observer-based stabilization control of inverted pendulum systems. The feedback gain matrices of both the state feedback controller and the state observer are obtained by a real-coded genetic algorithm(RCGA) such that the given performances indices are minimized.

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A New Approach to Design of a Dynamic Output Feedback Stabilizing Control Law for LTI Systems

  • Son Young-Ik;Shim Hyungbo;Jo Nam-Hoon;Kim Kab-Il
    • Journal of Mechanical Science and Technology
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    • v.19 no.2
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    • pp.618-624
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    • 2005
  • We present a new state-space approach to construct a dynamic output feedback controller which stabilizes a class of linear time invariant systems. All the states of the given system are not measurable and only the output is used to design the stabilizing control law. In the design scheme, however, we first assume that the given system can be stabilized by a feedback law composed of the output and its derivatives of a certain order. Beginning with this assumption, we systematically construct a dynamic system which removes the need of the derivatives. The main advantage of the proposed controller is regarding the controller order, which may be smaller than that of conventional output feedback controller. Using a simple numerical example, it is shown that the order of the proposed controller is indeed smaller than that of reduced-order observer based output feedback controller.

Control of Inverted Pendulum Systems Using a State Observer (상태관측기를 이용한 도립진자 시스템의 제어)

  • Lee, Yun-Hyung;Ahn, Jong-Kap;Jin, Gang-Gyoo;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.4
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    • pp.462-467
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    • 2007
  • The design and synthesis of a state feedback controller assumes the feedback of all state variables of the system. However, some state variables are not physical quantifies so that sensors may not be available, or may be too expensive to measure. Hence, a state observer can be an alternative to estimate unmeasurable state variables. This paper therefore presents a scheme for state observer-based stabilization control of inverted pendulum systems. The feedback gain matrices of both the state feedback controller and the state observer are tuned by real-coded genetic algorithms(RCGAs) such that the given performance indices are minimized. The proposed method is demonstrated through simulations.

State feedback controller design for linear multivariable systems with delays (다변수 시간지연 시스템의 상태궤환 제어기 설계)

  • 홍석민;황승구;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.1040-1044
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    • 1992
  • This paper presents an algebraic approach for finding a dynamic state feedback controller when the linear multi-input system with delays in both state and input is controllable. In the time-delay case, controllability of the system does not always imply that system is cyclizable. Therefore, reduced order augmentation systems which is cyclizable as the time-varying case are considered. It is possible to construct feedback contorl systems by using single-input methods.

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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.

A study on the robot controller design using a reduced-order observer (축소차수 관측기를 이용한 로보트 제어기 설계에 관한 연구)

  • 김도식;김진걸
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1-6
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    • 1991
  • This paper is concerned with the design of a robust tracking controller using a state observer on a robotic manipulator under the disturbance. The controller is designed to follow a step or ramp reference input without steady state error in the presence of a disturbance and a system parameter variation. In most cases, since all the state vectors are not measured, unmeasurable state vectors must be estimated or reconstructed. A reduced order observer is proposed to estimate unmeasurable state vectors of the non-linear system. Some problems are caused by the Coulomb friction, the disturbance, and the spring effect of a link between the drive motor and the manipulator arm. The state variables, directly measured and estimated by the reduced order observer, are fed back to the controller. When the robot system exhibits the 'limit cycle, the feedback gains initially obtained by optimal control theory are changed. As a result, the limit cycle is eliminated by the new controller gains,

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RCGA-Based State Feedback Control for Seesaw Systems (시소 시스템을 위한 RCGA 기반의 상태피드백 제어)

  • Ryu, Ki-Tak;So, Myung-Ok
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2007.12a
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    • pp.307-308
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    • 2007
  • In general, most physical systems are complex, highly non-linearity, affected by disturbance, incomplete knowledge, and even interactive change with the operating points. To solve this problem, the research of modem control theory and controller is proceeding. Before appling the proposed controller to the real system, however, it needs an apparatus which can verify the proposed controller for being not damaged the plant. In this paper, therefore, a RCGA-based PI-type state feedback controller using reduced-order observer is implemented and applied to the seesaw system and a series of simulation are carried out to verify the effectiveness of the control system.

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A study on the optimal feedback control using a microcomputer (마이크로 컴퓨터를 이용한 최적 피이드백 제어에 관한 연구)

  • 양주호;하주식
    • Journal of Advanced Marine Engineering and Technology
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    • v.11 no.4
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    • pp.41-49
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    • 1987
  • Recently microcomputers have come into wide use in the field of control. They are used not only as monitors and or controllers in various plant control systems but also for Computer Aided Design of control systems. In this paper, authors propose a method to design the reduced order observers for the higher order systems and have digital simulation of time responses of the optimal state feedback control system using the maximum principle. And the real time optimal state feedback control system for the third order plant which is realized by an anolog computer is constructed by means of a microcomputer, A/D converter and D/A converter. Time responses of the real time control system are compared with those obtained by the digital simulation and their well coincedence is confirmed.

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