• Title/Summary/Keyword: Linear Feedback

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Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input (제어입력 크기제한을 갖는 시스템에서 이득 스케쥴 상태되먹임-외란앞먹임 제어)

  • Kang, Min-Sig
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.915-920
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    • 2007
  • A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_{2}-gain$ from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

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Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input - Theory (제어입력 크기제한을 갖는 시스템에서 이득 스케줄 상태되먹임-외란앞먹임 제어 - 이론)

  • Kang, Min-Sig
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.11
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    • pp.59-65
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    • 2007
  • A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_2$-gain from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

Simultaneous Stabilization Via Static Ouput Feedback Using an LMI Method (LMI를 이용한 정적출력궤환 동시안정화 제어기 설계)

  • Cheon, Jong-Min;Lee, Jong-Moo;Kwon, Soon-Man;Moon, Young-Hyun;Kim, Seog-Joo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.5
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    • pp.226-228
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    • 2006
  • This paper deals with a linear matrix inequality (LMI) approach to the design of a static output feedback controller that simultaneously stabilizes a finite collection of linear time-invariant plants. Simultaneous stabilization by static ouput feedback is represented in terms of LMIs with a rank condition. An iterative penalty method is proposed to solve the rank-constrained LMI problem. Numerical experiments show the effectiveness of the proposed algorithm.

Design and Fabrication of 10W Feedforward Linear Power Amplifier adding Feedback Loop for IMT-2000 (궤한루프를 첨가한 IMT-2000용 10W급 Feedforward 선형 전력 증폭기의 설계 및 제작)

  • 류병하;장중호;김성민;최현철
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2000.11a
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    • pp.187-190
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    • 2000
  • In this paper, A Feedforward Linear Power Amplifier which is appended a feedback loop for IMT-2000 was designed and fabricated. Feedback loop was used to improve the IMD(Inter-Modulation Distortion) characteristics of the main amplifier. And it is easy to cancel IMD on the min path and control IMD cancellation loop, compared with basic Feedforward Linear Power Amplifier. This feedback loop has the same effect of the Predistroter. So, This power amplifier was improved in IMD characteristics to add the effect of Predistroter to basic Feedforward amplifier. And the disigned power amplifier in this paper represented the 40dBm(10W) output and -55dBc 3rd IMD at center frequency 2.14GHz (@10MHz).

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A Study on the Design of the Optimal Nonlinear Controller for Single State Feedback (단일상태 귀환 제어계의 최적 비선형제어기 설계에 관한 연구)

  • No, Yong-Gyun;Jo, Gyeom-Rae;Lee, Jin-Geol
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.1
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    • pp.85-92
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    • 1989
  • For feedback control of a linear dynamic system the optimum linear state regulator (OLSR) can be implemented only if all states are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can give improved performance over that obtained by a proportional controller. This paper found the optimal control law by dynamic programming and principles of optimalityl. This, performances of both proportional and nonlinear controllers are compared with performance of optimum linear state regulator.

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Sliding Mode Control with the feedback linearization and novel sliding surface for induction motors (새로운 슬라이딩 평면과 궤환 선형화를 이용한 유도 전동기의 슬라이딩 모드 제어)

  • Park, Seung-Kyu;Ahn, Ho-Kyun;Kim, Hyung-Moon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2672-2674
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    • 2000
  • In this paper. feedback linearization and the sliding mode control(SMC) are used together for uncertain nonlinear system. An advantage of feedback linearization technique is to make linear control theories can be used for nonlinear system and the SMC have the robustness. But the dynamics of the SMC has the dynamics lower order than that of the original system. Therefore the linear control theory can not be used with the SMC. The novel sliding surface of the SMC can have the dynamics of the nominal non linear system controlled by the feedback linearization. The proposed method can be used for the control of induction motors.

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Design of a dynamic output feedback law for replacing the output derivatives

  • Son, Young-I.;Shim, Hyung-Bo;Jo, Nam-H.;Kim, Kab-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.337-341
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    • 2003
  • This paper provides a design method for a dynamic output feedback controller which stabilizes a class of linear time invariant systems. We suppose all the states of the given system is not measurable and only the outputs are used to stabilize the system. The systems considered cannot be stabilized by a static output feedback only. In the scheme we first assume that the given system can be stabilized by a state feedback composed of its output, velocity of the output and its higher order derivative terms. Instead of using the derivatives of the output, however, a dynamic system is constructed systematically which replaces the role of the derivative terms. Then, a high-gain output feedback stabilizes the composite system together with the newly constructed system. The performance of the proposed control law is illustrated in the comparative simulation studies of a numerical example with an observer-based control law.

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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.

Discrete-Time Output Feedback Algorithm for State Consensus of Multi-Agent Systems (다 개체 시스템의 상태 일치를 위한 이산 시간 출력 궤환 협조 제어 알고리즘)

  • Kim, Jae-Yong;Lee, Jin-Young;Kim, Jung-Su
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.3
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    • pp.625-631
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    • 2011
  • This paper presents a discrete-time output feedback consensus algorithm for Multi-Agent Systems (MAS). Under the assumption that an agent is aware of the relative state information about its neighbors, a state feedback consensus algorithm is designed based on Linear Matrix Inequality (LMI) method. In general, however, it is possible to obtain its relative output information rather than the relative state information. To reconcile this problem, an Unknown Input Observer (UIO) is employed in this paper. To this end, first it is shown that the relative state information can be estimated using the UIO and the measured relative output information. Then a certainty-equivalence type output feedback consensus algorithm is proposed by combining the LMI-based state feedback consensus algorithm with the UIO. Finally, simulation results are given to illustrate that the proposed method successfully achieves the state consensus.

The determination of state feedback gains of XPTOS for disk drive servomechanism based on BESSEL filter prototype (XPTOS에 의한 디스크 드라이브 서보메커니즘의 구성시 BESSEL 필터 표준 함수에 근거한 상태피드백이득 결정)

  • Han, K.H.;Lee, J.S.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.980-983
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    • 1996
  • This paper presents the method of determining state feedback gains of XPTOS for disk drive servomechanism based BESSEL filter prototype. A typical disk drive actuator can be modeled as second order dynamics for low frequencies. However, the response at higher frequencies shows resonant behavior which cannot be easily modeled. XPTOS consists of the nonlinear control region and the linear control region. In the linear control region, the poles of a second order nominal model of plant must be properly relocated by pole placement technique to attenuate resonant modes at high frequency and to attain minimum time state transition. It is difficult to select position to satisfy this object because velocity feedback gain is subjected to position feedback gain in XPTOS. Here poles of BESSEL filter prototype are selected to determine state feedback gains of XPTOS. Simulation results for disk drive servomechanism using XPTOS having state feedback gains by the proposed method are presented.

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