• 제목/요약/키워드: Derivative Feedback

검색결과 97건 처리시간 0.03초

입력 차수 보상기를 이용한 비정방 선형 시스템의 출력 궤환 수동화 (Output Feedback Passivation of Non-square Linear Systems Using an Input-Dimensional Compensator)

  • 손영익
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권1호
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    • pp.10-15
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    • 2004
  • We present a state-space approach to make non-square linear systems strictly passive by using an input-dimensional parallel feedforward compensator. A necessary and sufficient condition for the existence of the parallel feedforward compensator is given by the static output feedback formulation, which enables to utilize linear matrix inequality. By modifying the structure of the compensator the additional technical assumption in the previous result [1] is removed. The effectiveness of the proposed method is illustrated by some numerical examples which can be stabilized by the proportional-derivative (PD) and proportional-derivative-integral (PID) control laws. The proposed control scheme can successfully replace the measurements of derivative terms in the control laws.

Effect of feedback on PID controlled active structures under earthquake excitations

  • Nigdeli, Sinan Melih
    • Earthquakes and Structures
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    • 제6권2호
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    • pp.217-235
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    • 2014
  • In this paper, different feedback control strategies are presented for active seismic control using proportional-integral-derivative (PID) type controllers. The parameters of PID controller are found by using an numerical algorithm considering time delay, maximum allowed control force and time domain analyses of shear buildings under different earthquake excitations. The numerical algorithm scans combinations of different controller parameters such as proportional gain ($K_p$), integral time ($T_i$) and derivative time ($T_d$) in order to minimize a defined response of the structure. The controllers for displacement, velocity and acceleration feedback control strategies are tuned for structures with active control at the first story and all stories. The performance and robustness of different feedback controls on time and frequency responses of structures are evaluated. All feedback controls are generally robust for the changing properties of the structure, but acceleration feedback control is the best one for efficiency and stability of control system.

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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    • 제어로봇시스템학회 2003년도 ICCAS
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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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근궤적과 수동 조정에 의한 직접 구동형 서보밸브의 PID 제어기 및 미분피드백 이득 설계 (PID Controller and Derivative-feedback Gain Design of the Direct-drive Servo Valve Using the Root Locus and Manual Tuning)

  • 이성래
    • 드라이브 ㆍ 컨트롤
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    • 제13권3호
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    • pp.15-23
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    • 2016
  • The direct-drive servo valve(DDV) is a kind of one-stage valve because the main spool valve is directly driven by the dc motor. Since the DDV structure is simple, it is less expensive, more reliable, and offers a reduced internal leakage and a reduced sensitivity to fluid contamination. The control system of the DDV is highly nonlinear due to a current limiter, a voltage limiter, and the flow-force effect on the spool motion. The shape of the step response of the DDV-control system varies considerably according to the magnitudes of the step input and the load pressure. The system-design requirements mean that the overshoots should be less than 20%, and the errors at 0.02s should be less than 2%, regardless of the reference-step input sizes of 1V and 5V and the load-pressure magnitudes of 0MPa and 20.7MPa. To satisfy the system-design requirements, the PID-controller parameters of $K_c$, $T_i$ and $T_d$, and the derivative-feedback gain of $K_{der}$ are designed using the root locus and manual tuning.

Parametric Approaches for Eigenstructure Assignment in High-order Linear Systems

  • Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • 제3권3호
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    • pp.419-429
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    • 2005
  • This paper considers eigenstructure assignment in high-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called high-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically very simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches.

출력 미분값의 추정에 의한 선형 시불변 시스템의 로버스트 출력 궤환 제어 (Robust output feedback control of LTI system using estimated output derivatives)

  • Lee, Gun-Bok
    • 대한전기학회논문지
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    • 제45권2호
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    • pp.273-282
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    • 1996
  • This work is conceded with the estimation of output derivatives and their use for the design of robust controller for linear systems with system uncertainties due to modeling errors and disturbances. It is assumed that a nominal transfer function model and quantitative bounds for system uncertainties and known. The developed control schemes are shown to achieve regulation of the system output and ensures boundedness of the system states without imposing any structural conditions on system uncertainties and disturbances. Output derivative estimation is first conducted through restructuring of the plant in a specific parameterization. They are utilized for constructing robust nonlinear high-gain feedback controller of a SMC(Sliding Mode Control)type. The performances of the developed controller are evaluated and shown to be effective and useful through simulation study.

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선형 다변수 시스템에 있어서 시간비중 성능지수를 이용한 최적 상수 PIDM 궤한 제어기 (Optimal Constant PIDM Feedback Controller using Time Weighted Performance Index for Linear Multivariable Systems)

  • 권봉환;윤명중
    • 대한전기학회논문지
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    • 제36권5호
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    • pp.360-366
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    • 1987
  • The design problem of optimal constant PIDM (proportional-integral-derivative and measurable variable) feedback controller for linear time-invariannt systems is investigated with the time-weighted quadratic performance index. Necessary conditions for an optimality of the controller are derived and an algorithm for computing the optimal feedback gain is presented. It is shown via example that the design mithod using the time-weighted quadratic performance index improves the transient responses of the closed-loop system.

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비선형 시스템의 동적 출력 궤환 수동화의 유연 관절 로봇에의 적용 (Dynamic Output Feedback Passivation of Nonlinear Systems with Application to Flexible Joint Robots)

  • 손영익;임승철;김갑일
    • 제어로봇시스템학회논문지
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    • 제10권12호
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    • pp.1256-1263
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    • 2004
  • Output feedback passivation problem is studied when the given system is not minimum-phase or does not have relative degree one. Using a parallel connection with an additional dynamics, the authors provide a dynamic output feedback control law which renders the composite system passive. Sufficient conditions are presented under which the composite system is output feedback passive. As an application of the dynamic passivation scheme, a point-to-point control law for a flexible joint robot is presented when only the position measurements are available. This provides an alternative way of replacing the role of the velocity measurements for the proportional-derivative (PD) feedback law. The performance of the proposed control law is illustrated in the simulation studies of a manipulator with three revolute elastic joints.

Global Finite-Time Convergence of TCP Vegas without Feedback Information Delay

  • Choi, Joon-Young;Koo Kyung-Mo;Lee, Jin S.;Low Steven H.
    • International Journal of Control, Automation, and Systems
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    • 제5권1호
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    • pp.70-78
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    • 2007
  • We prove that TCP Vegas globally converges to its equilibrium point in finite time assuming no feedback information delay. We analyze a continuous-time TCP Vegas model with discontinuity and high nonlinearity. Using the upper right-hand derivative and applying the comparison lemma, we cope with the discontinuous signum function in the TCP Vegas model; using a change of state variables, we deal with the high nonlinearity. Although we ignore feedback information delay in analyzing the model of TCP Vegas, the simulation results illustrate that TCP Vegas in the presence of feedback information delay shows very similar dynamic trends to TCP Vegas without feedback information delay. Consequently, dynamic properties of TCP Vegas without feedback information delay can be used to estimate those of TCP Vegas in the presence of feedback information delay.

일차출력 미분귀환을 갖는 아나로구 전자계산기용 써어보 승산기 (A Servo-Multiplier with First Derivative Output Feedback for Electronic Analog Computers.)

  • 한만춘;김권
    • 전기의세계
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    • 제14권2호
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    • pp.14-24
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    • 1965
  • The characteristics of servo-multipliers and its accuracies are analyzed. From the analysis a low cost high accuracy four quadrant servo-multiplier with first derivative output feedback is built. The multiplier servomechanism has a second order system response with a damping ratio of 0.8 and computing bandwidth of 4 cycles per second, and its tracking accuracy at low speed of 0.5 volt per second is 0.9 per cent of maximum output voltage and static accuracy is better than 0.6 per cent. Method of testing this multiplier and the results are also described. The test on the characteristics of the multiplier shows that the results agree with theoretical values satisfactorily, and justifies the use of the servo-multiplier for slow type analog computers.

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