• Title/Summary/Keyword: gain matrix

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Network analysis by signal-flow graph (Signal-flow graph에 의한 회로분석)

  • Hyung Kap Kim
    • 전기의세계
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    • v.17 no.2
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    • pp.11-15
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    • 1968
  • One of the most important methods used in the modern analysis of linear networks and systems is the signal flow graph technique, first introduced by S.J. Mason in 1953. In essence, the signal-flow graph technique is a graphical method of solving a set of simultaneous. It can, therefore, be regarded as an alternative to the substitution method or the conventional matrix method. Since a flow-graph is the pictorial representation of a set of equations, it has an obvious advantage, i.e., it describes the flow of signals from one point of a system to another. Thus it provides cause-and-effect relationship between signals. And it often significantly reduces the work involved, and also yields an easy, systematic manipulation of variables of interest. Mason's formula is very powerful, but it is applicable only when the desired quantity is the transmission gain between the source node and sink node. In this paper, author summarizes the signal-flow graph technique, and stipulates three rules for conversion of an arbitrary nonsource node into a source node. Then heuses the conversion rules to obtain various quantities, i.e., networks gains, functions and parameters, through simple graphical manipulations.

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Frequency Response Characteristics of Automotive Hydraulic Pipelines (자동차용 유압관로의 주파수 응답 특성)

  • Kim, Do-Tae
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.6
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    • pp.177-182
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    • 2007
  • In this paper, automotive hydraulic pipeline systems are modeled in which a straight blocked pipe, two pipes with sudden expansion or contraction are connected in series and terminated with a chamber. The frequency response characteristics of these composite pipeline systems are investigated experimentally. The theoretical analysis for various pipe configurations is base on transfer matrix method with frequency dependent viscous friction distributed parameter pipeline model. The gain and phase of transfer functions are included for comparison with experimental results. There is close agreement between the results of experimental and theoretical determination of pressure response in automotive hydraulic pipeline systems.

Printability of an Aqueous Gravure Ink for Polyolefin (Polyolefin용 수성 Gravure Ink의 인쇄작성)

  • 김종원
    • Journal of the Korean Graphic Arts Communication Society
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    • v.12 no.1
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    • pp.1.1-11
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    • 1994
  • The photosensitive properties and carrier transport in the organic photoconductor with the carrier transport layers(CTL) of polymer matrix doped with two carrier transport materials above carrier generation layer(CGL) containing oxotitanium phthalocyanine (TiOPc) were investigated. The CGL of TiOPc dispersed in poly(vinylbutyral) was formed as thickness of 0.1${\mu}{\textrm}{m}$and the carrier transport layer was prepared by coating polycarbonate and polyester doped with oxadiazoly(OXD), polyvinylcarbazole (PVK), trinitro fluorenone(TNF) as thickness of 10~15${\mu}{\textrm}{m}$, respectively. We have measured half decay exposure,sensitivity and xerographic gain from the photo-induced discharge curve(PIDC). In this work, it was found that the characteristics of carrier transport were mainly caused by the ionization potential difference of constitutive materials in molecularly doped polymer.

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Delay-dependent Robust H Control of Uncertain Linear Systems with Time-varying Delays and Randomly Occurring Disturbances (시변지연과 임의 발생 외란을 고려한 불확실 선형 시스템에 대한 지연의존 강인 H 제어)

  • Kim, Ki-Hoon;Park, Myeong-Jin;Kwon, Oh-Min;Cha, Eun-Jong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.679-687
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    • 2013
  • This paper proposes a new condition about delay-dependent robust $H_{\infty}$ control of uncertain linear systems with time-varying delay and randomly occurring disturbances. The norm bounded uncertainties are subjected to the system matrices. Based on Lyapunov stability theory, a sufficient condition for designing a controller gain such that the closed-loop systems are asymptotically stable with $H_{\infty}$ disturbance level ${\gamma}$ is formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are included to show the effectiveness of the presented method.

Transonic Flutter Suppression of the 2-D Flap Wing with External Store using CFD-based Aeroservoelasticity

  • Lee, Seung-Jun;Lee, In;Han, Jae-Hung
    • International Journal of Aeronautical and Space Sciences
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    • v.7 no.2
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    • pp.121-127
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    • 2006
  • An analysis procedure for the combined problem of control algorithm and aeroelastic system which is based on the computational fluid dynamics(CFD) technique has been developed. The aerodynamic forces in the transonic region are calculated from the transonic small disturbance(TSD) theory. An linear quadratic regulator(LQR) controller is designed to suppress the transonic flutter. The optimal control gain is estimated by solving the discrete-time Riccati equation. The system identification technique rebuilds the CFD-based aeroelstic system in order to form an adequate system matrix which involved in the discrete-time Riccati equation. Finally the controller, that is constructed on the basis of system identification technique, is used to suppress the flutter phenomenon of the airfoil with attached store. This approach, that is, the CFD-based aeroservoelasticity design, can be utilized for the development of effective flutter controller design in the transonic region.

$H_{\infty}$ Controller Design of Linear Systems with Saturating Actuators (포화 구동기를 갖는 선형 시스템의 $H_{\infty}$ 제어기 설계)

  • Cho, Hyon-Chol;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.494-496
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    • 1999
  • In this paper, we consider the design of a state feedback $H_{\infty}$ controller for uncertain linear systems with saturating actuators. We consider a general saturating actuator and employ the additive decomposition to deal with it effectively. And the considered uncertainty is the unstructured uncertainty which is only known its norm bound. Based on Linear Matrix Inequality(LMI) techniques, we present a condition on designing a controller that guarantees the $L_2$ gain, from the noise to the output, is not greater than a given value. A controller is obtained by checking the feasibility of three LMI's, and this can be easily done by well-known control package. Finally, we show the usefulness of our result by a numerical example.

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Cheap Control of Weakly Coupled Discrete System (정규섭동 이산시 시스템에 대한 Cheap 제어 적용)

  • Choi, Won-Ho;Kwon, Yo-Han;Kim, Beom-Soo;Lim, Myo-Teag
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.503-505
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    • 1999
  • Linear cheap control problem is a special form of linear quadratic regulator problem in which a small parameter ${\varepsilon}^2$ is multiplied with the control term. The joint problem in which cheap control is applied to a weakly coupled discrete system has not been reported in the literature. In this paper, the high-gain problem and decoupling problem on discrete weakly coupled system are considered together. We derive Hamiltonian matrix when the cheap control is applied to a weakly coupled discrete system and use it in developing numerical formulations in the process of applying parallel algorithm to the system.

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Sliding Mode Observer for Uncertain Systems with Mismatched Uncertainties: An LMI Approach (LMI를 이용한 불확실한 시스템의 슬라이딩 모드 관측기 설계)

  • Song, Min-Kook;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1757-1758
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    • 2006
  • This paper considers a method to design sliding mode observers for a class of uncertain systems using Linear Matrix Inequalities(LMI). In an LMI-based sliding mode observer design method for a class of uncertain systems the switching surface is set to be the difference between the observer and system output. In terms of LMIs, a necessary and sufficient condition is derived for the existence of a sliding-mode observer guaranteeing a stable sliding motion on the switching surface. The gain matrices of the sliding-mode observer are characterized using the solution of the LMI existence condition. The results are illustrated by an example.

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LTR properties for output-delayed systems (출력 시간 지연 시스템의 루우프 복구특성)

  • 이상정;홍석민
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.161-167
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    • 1993
  • This paper presents robustness properties of the Kalman Filter ad the associated LQG/LTR method for linear time-invariant systems having delays in both the state and output. A circle condition relating to the return difference matrix associated with the Kalman filter is derived. Using this circle condition, it is shown that the Kalman filter guarantees(1/2, .inf.) gain margin and .+-.60.deg. phase margin, which are the same as those for nondelay systems. However, it is shown that, even for minimum phase plants, the LQG/LTR method can not recover the target loop transfer function. Instead, an upper bound on the recovery error is obtained using an upper bound of the solution of the Kalman filter Riccati equations. Finally, some dual properties between output-delated system and input-delayed systems are exploited.

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Development of partial state feedback control algorithm for nonlinear overhead crane whose two axes are moved simultaneously (두 축이 동시에 운동하는 비선형 천장 크레인의 부분상태 궤환제어 알고리즘 개발)

  • 이종규;이상룡
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.395-398
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    • 1996
  • In this study, when the nonlinear overhead crane which allows simultaneously travel and traverse motion moves a desired transport route, the object suspended the end of rope does undesirable swing motion. Nonlinear overhead crane pertubes in the vicinity of an operating point, therefore the nonlinear overhead crane is modified to linear overhead crane for the operating point. The linear overhead crane was controlled to swing angles of the object by the ratio of torque inputs to motors of the girder and the trolley. As a basis for the result of the linear overhead crane, the nonlinear overhead crane was controlled swing angles of the object and positions of the overhead crane without collision with environmental equipment by partial state feedback control.

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