• Title/Summary/Keyword: Linear time varying system

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A Robust Disturbance Observer for Uncertain Linear Systmes (불확실한 성형시스템에 대한 강인 외란관측기)

  • Kim, Jun-Sik;O, Jun-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.9
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    • pp.2731-2743
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    • 1996
  • When modeling error is large of plant is time-varying, it is hard to obtain good robust performance and robust stability by conventional contorl methods. Here, we need to design a robust controller bearing modeling error. In this paper, based on recently developed Time Delay Control(TDC) and Disturbance Observer the output feedback Robust Disturbance Observer(RDO), which is easily combined with general linear control, is proposed. Proposed RDO is derived from extending the main idea of Disturbance Observer to multi-input multi-output linear system. RDO solves robust stability problem of Disturbance Observer and has the robust performance same as nominal performance. RDO controlled dual stage positioning system shows excellent robust performance.

Dynamic Characterization of Noise and Vibration Transmission Paths in Linear Cyclic Systems (II)- Experimental Validation-Experimental Validation-

  • Kim, Han-Jun;Cho, Young-Man
    • Journal of Mechanical Science and Technology
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    • v.14 no.10
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    • pp.1061-1071
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    • 2000
  • Linear cyclic systems (LCS's) are a class of systems whose dynamic behavior changes periodically. Such a cyclic behavior is ubiquitous in systems with fundamentally repetitive motion. Yet, the knowledge of the noise and vibration transmission paths in LCS's is quite limited due to the time-varying nature of their dynamics. The first part of this two-part paper derives a generic expression that describes how the noise and/or vibration are transmitted between two (or multiple) points in the LCS's. In Part II, experimental validation of the theoretical development of Part I is provided. The noise and vibration transmission paths of the scroll and rotary compressors (two typical LCS's) are examined to show that the LCS's indeed generate a series of amplitude modulated input signals at the output, where the carrier frequencies are harmonic multiples of the LCS' fundamental frequency. The criterion proposed in Part I to determine how well a given LCS can be approximated as a linear time-invariant systems (LTIS) is applied to the noise and vibration transmission paths of the two compressors. Furthermore, the implications of the experimental validations/applications are discussed in order to assess the applicability of the noise/vibration source and transmission path identification techniques based on the assumption that the system under consideration is linear and time-invariant.

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The robust controller design for linear multivariable servo mechanism using switching dynamics (스위칭 동태방정식을 이용한 선형 다변수서보메카니즘에 대한 견고한 제어기 설계)

  • 박귀태;곽군평;김동식;최중경;주영중
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.535-540
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    • 1989
  • This paper presents an approach for designing a linear multivariable servo mechanism for the case of constant and time varying disturbances. In this paper, we use an "observer-based" approach to consider the disturbance vector as states of the system and the resulting servomechanism design involves the design of an asymptotic observer which estimates both the actual plant states and the disturbance states. The design makes use of switching dynamics instead of switching logics to obtain the sliding mode and from the switching dynamics we can remove the undesirable chattering phenomena.phenomena.

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Design of Adaptive Regulator for a Nonlinear Uncertain System (불확실성을 갖는 비선형 시스템의 적응 제어기 설계)

  • Jin, Ju-Wha;Yu, Kyung-Tak;Son, Young-Ik;Seo, Jin-Heo
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.2
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    • pp.153-158
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    • 1999
  • We consider single-input nonlinear systems with unknown unmodelled time-varying parameters or disturbances which are bounded. The main goal is to identify classes of uncertain systems for which the control exist and to provide constructive design procedures. Assuming that the undisturbed nominal system ( ,g) is partially state feedback linearizable, that a strict triangularity condition, a linear parametrization condition, and {{{{ { G}_{r-1 } }}}} hold for the uncertain terms, and that some condition is satisfied in the transformed partially linear system, we design an adaptive regulating dynamic control. At first, we identify classes of nonlinear uncertain systems and give a systematic procedure for the design of a robust regulation for the nonlinear systems.

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Robot motion planning for time-varying obstacle avoidance using distance function (거리 함수를 이용한 로보트의 시변 장애물 회피 동작계획)

  • 전흥주;고낙용;남윤석;이범희;고명삼
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1034-1039
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    • 1991
  • A robot motion planning algorithm for time-varying obstacle avoidance is proposed. The robot motion planning problem is replaced with the optimization problem by using the distance function with the divided configuration space. To divide the configuration space, the polar coordinate system is used. For each divided configuration space, the admissible region where the robot can reach without collisions is obtained using the distance function. For an object moving in a plane, the admissible region is described by linear constraints on the polar coordinate system. A numerical algorithm that solves the optimization problem is shown and the computer simulation is carried out.

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Stabilization of Input-Delayed TS Fuzzy Systems

  • Lee, Ho-Jae;Park, Jin-Bae;Cha, Dae-Beum;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.05a
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    • pp.140-143
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    • 2001
  • In this paper, a control problem of the Takagi-Sugeno(TS) fuzzy system with time-varying input delay is considered. It is well known that the delay is one of the major sources responsible for the instability of the controlled system. A systematic design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the global asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation.

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Proportional navigation guidance and error analysis of fast-rolling single-axis control missiles (단축조종 고속회전 유도탄의 비례항법유도 및 오차해석)

  • 전병을;송찬호
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.482-485
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    • 1996
  • We design a homing guidance law based on the proportional navigation for the fast-rolling, single-axis control missiles and analyse the misdistance of the designed guidance system. The guidance law includes a compensation scheme which compensates for the phase-shift between the commanded and achieved acceleration which is peculiar to the fast rolling airframe with single-axis control. In the error analysis of the guidance system, we calculate the misdistance with respect to the target maneuver on the 3-dimensional space via direct simulations. Also, we conduct adjoint simulation on the 2-dimensional plane in case that phase-shift is perfectly compensated. Finally we approximate the linear time-varying dynamics of the missile with autopilot to a linear time-invarient system, and as a result we can find the misdistance as a closed-form.

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Dynamic state estimation for identifying earthquake support motions in instrumented structures

  • Radhika, B.;Manohar, C.S.
    • Earthquakes and Structures
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    • v.5 no.3
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    • pp.359-378
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    • 2013
  • The problem of identification of multi-component and (or) spatially varying earthquake support motions based on measured responses in instrumented structures is considered. The governing equations of motion are cast in the state space form and a time domain solution to the input identification problem is developed based on the Kalman and particle filtering methods. The method allows for noise in measured responses, imperfections in mathematical model for the structure, and possible nonlinear behavior of the structure. The unknown support motions are treated as hypothetical additional system states and a prior model for these motions are taken to be given in terms of white noise processes. For linear systems, the solution is developed within the Kalman filtering framework while, for nonlinear systems, the Monte Carlo simulation based particle filtering tools are employed. In the latter case, the question of controlling sampling variance based on the idea of Rao-Blackwellization is also explored. Illustrative examples include identification of multi-component and spatially varying support motions in linear/nonlinear structures.

A study on the performance improvement of hydraulic position control system using series-feedback compensator (직렬 피이드백 보상기를 이용한 위치제어 유압시스템의 성능향상에 관한 연구)

  • 이교일;이종극
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.332-337
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    • 1988
  • A digital series-feedback compensator algorithm for tracking time-varying signal is presented. The series-feedback compensator is composed of one closed loop pole / zero cancellation compensator and one desired-input generator. This algorithm is applied to nonlinear hydraulic position control system. The hydraulic servo system is modelled as a second order linear model and cancellation compensator is modelled from it. The desired input generator is inserted to reduce modelling error. Digital computer simulation output using this control method is present and the usefulness of this control algorithm for nonlinear hydraulic system is verified.

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Time-varying Stiffness of Catenary System and its Effect on Current Collection by Pantograph (가선계의 강성변화와 판토그래프의 집전성능)

  • 최연선
    • Proceedings of the KSR Conference
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    • 2000.05a
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    • pp.598-605
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    • 2000
  • The design of a current collection system of high speed train requires the fundamental understandings fer the dynamic characteristics of a catenary system and pantograph. The stiffness of the catenary system of high speed train has the varying characteristics for the change of the contact point with a pantograph, since the supporting pole and hanger make the different boundary conditions for the updown stiffness of a trolley wire. The variation of stiffness results in Mathiue equation, which characterizes the stability of the system. However, the two terms variation of the stiffness due to span length and hanger distance cannot be solved analytically. In this paper, the stiffness variations are calculated, and the physical reasoning of linear model and one term Mathieu equation are reviewed. And the numerical analysis for the two term variation of the stiffness is done for the several design parameters of the pantograph.

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