• 제목/요약/키워드: Linear time periodic system

검색결과 42건 처리시간 0.035초

초정밀 선형 모터 시스템의 적응형 힘리플 보상과 정밀 트랙킹 제어 (Adaptive Force Ripple Compensation and Precision Tracking Control of High Precision Linear Motor System)

  • 최영만;권대갑;이문구
    • 한국정밀공학회지
    • /
    • 제22권12호
    • /
    • pp.51-60
    • /
    • 2005
  • This paper describes a robust control scheme for high-speed and long stroke scanning motion of high precision linear motor system consisting of linear motor, air bearing guide and position measurement system using heterodyne interferometer. Nowadays, semiconductor process and inspection of wafer or LCD need high speed and long travel length for their high throughput and extremely small velocity fluctuations or tracking errors. In order to satisfy these conditions, linear motor system are widely used because they have large thrust force and do not need motion conversion mechanisms such as ball screw, rack & pinion or capstan with which the system are burdened. However linear motors have a problem called force ripple. Force ripple deteriorates the tracking performances and makes periodic position errors. So, force ripple must be compensated. To maximize the tracking performance of linear motor system, we propose the control scheme which is composed of a robust control method, Time Delay Controller (TDC) and a feedforward control method, Zero Phase Error Tracking Control (ZPETC) for accurate tracking a given trajectory and an adaptive force ripple compensation (AFC) algorithm fur estimating and compensating force ripple. The adaptive ripple compensation is continuously refined on the basis of tracking error. Computer simulation results based on modeled parameters verify the effectiveness of the proposed control scheme for high-speed, long stroke and high precision scanning motion and show that the proposed control scheme can achieve a sup error tracking performance in comparison to conventional TDC control.

선형 시변 시스템에 대한 주기 예측 제어기의 시불변 안정성 (Uniform Stability of Intervalwise Receding Horizon Controls for Linear Time-Varying Systems)

  • 김기백;권욱현
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1997년도 추계학술대회 논문집 학회본부
    • /
    • pp.139-141
    • /
    • 1997
  • In this paper, intervalwise receding horizon controls (IRHCs) are proposed for linear time systems subject to $H_2$ and $H_{\infty}$ problems. Uniform stability conditions are provided for those systems. Under given conditions stability is proved without using an adjoint system. It is also shown that under proposed stability conditions for $H_{\infty}$ problem, $H_{\infty}$-norm bound is satisfied. The results in this paper arc also applicable to periodic systems which belong to the class of time systems.

  • PDF

상태변수에 지연요소를 갖는 시스템의 안정화 방법에 관한 연구 (Feedback stabilization of linear systems with delay in state)

  • 권욱현;임동진
    • 전기의세계
    • /
    • 제31권1호
    • /
    • pp.59-67
    • /
    • 1982
  • This paper suggests easy stabilization methods for linear time-varying systems with delay in the state. While existing methods employ the function space concept, the methods introduced in this paper transform the delay systems into the non-delay systems so that the well known methods for finite dimensional systems can be utilized. Particularly the intervalwise predictor is introduced and shown to satisfy an ordinary system. Control laws stabilizing the non-delay systems satisfied by this predictor will be shown to at least pointwise stabilize the delay systems with the additional strong possibility of true stabilization. In order to combine two steps of the predictor method, first transformation and then stabilization, an intervalwise regulator problem is suggested whose optimal control laws incorporate the intervalwise predictor as an integral part and also at least pointwise stabilize the delay systems. Since the above mentioned methods render the periodic feedback gains for time invariant systems the pointwise predictor and regulator are introduced in order to obtain the constant feedback gains, with additional stability properties. The control laws given in this paper are perhaps simplest and easiest to implement.

  • PDF

연속 시간 선형 주기 시스템에 대한 주기 예측 구간 $H_{\infty}$ 추적 제어 (Intervalwise Receding Horizon $H_{\infty}$ Tracking Control for Continuous Linear Periodic Systems)

  • 김기백;권욱현
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1996년도 하계학술대회 논문집 B
    • /
    • pp.1140-1142
    • /
    • 1996
  • In this paper, a fixed-horizon $H_{\infty}$ tracking control (HTC) for continuous time-varying systems is proposed in state-feedback case. The solution is obtained via the dynamic game theory. From HTC, an intervalwise receding horizon $H_{\infty}$ tracking control (IHTC) for continuous periodic systems is obtained using the intervalwise strategy. The conditions under which IHTC stabilizes the closed-loop system are proposed. Under proposed stability conditions, it is shown that IHTC guarantees the $H_{\infty}$-norm bound.

  • PDF

곤충모방 날갯짓 비행체의 LQ 제어기 설계 (Linear Quadratic Controller Design of Insect-Mimicking Flapping Micro Aerial Vehicle)

  • 김성근;김인래;김승균;석진영
    • 한국항행학회논문지
    • /
    • 제21권5호
    • /
    • pp.450-458
    • /
    • 2017
  • 본 연구에서는 곤충모방 날갯짓 비행체의 모델링과 제자리비행을 위한 자세제어 및 고도제어기를 설계하여 동역학 모델을 이용한 시뮬레이션을 수행하고 그 결과를 분석하였다. 곤충모방 날갯짓 비행체의 간략화한 날갯짓 운동, 날갯짓의 병진운동 및 회전운동에 대한 공력, 동체 동역학에 대해 수치모델링을 수행하였다. 제자리비행 자세제어를 위해 날갯짓 비행체가 가지는 시변 비선형 시스템을 선형화하여 설계한 LQR(Linear Quadratic Regulator) 제어기법을 통하여 자세안정화를 적용하였으며 PID 제어기법을 통해 고도제어를 수행하였다. 수치 시뮬레이션을 통해 설계된 모델과 제어기의 성능을 확인하였으며 제자리비행을 위한 자세안정화 및 고도 제어가 안정적으로 수행되는 것을 확인하였다. 또한 날갯짓에 의해 발생하는 주기적인 피칭 모멘트를 주기적인 제어입력을 통해 임계 안정하도록 자세 안정화를 수행하는 것을 확인 하였다.

Indirect Decentralized Repetitive Control for the Multiple Dynamic Subsystems

  • Lee, Soo-Cheol
    • 대한산업공학회지
    • /
    • 제23권1호
    • /
    • pp.1-22
    • /
    • 1997
  • Learning control refers to controllers that learn to improve their performance at executing a given task, based on experience performing this specific task. In a previous work, the authors presented a theory of indirect decentralized learning control based on use of indirect adaptive control concepts employing simultaneous identification and control. This paper extends these results to apply to the indirect repetitive control problem in which a periodic (i.e., repetitive) command is given to a control system. Decentralized indirect repetitive control algorithms are presented that have guaranteed convergence to zero tracking error under very general conditions. The original motivation of the repetitive control and learning control fields was learning in robots doing repetitive tasks such as on an assembly line. This paper starts with decentralized discrete time systems, and progresses to the robot application, modeling the robot as a time varying linear system in the neighborhood of the desired trajectory. Decentralized repetitive control is natural for this application because the feedback control for link rotations is normally implemented in a decentralized manner, treating each link as if it is independent of the other links.

  • PDF

시변하는 간단한 유체기계의 덕트 내 음원 특성에 대한 해석적 연구 (On the in-duct acoustical source characteristics of a simplified time-varying fluid machine)

  • 이정권;장승호
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2001년도 추계학술대회논문집 I
    • /
    • pp.517-521
    • /
    • 2001
  • Measurement techniques for the in-duct source characteristics of fluid machines can be classified into direct method and load method, according to whether the technique employs an external acoustic source or not. It has been known that the two methods yield different results and the load method used to come up with a negative source resistance, in spite of the fact that a very accurate prediction of radiated noise can be obtained by using any result. This paper is focused to the effect of time-varying nature of fluid machines on the output result. For this purpose, a simplified fluid machine consisting of a reservoir, a valve and a pipe is considered as representing a typical linear, periodic, time-varying system and the measurement techniques are simulated by utilizing the Hill equation and its steady-state forced response. In the load method, the source impedance turns out being dependent on the valve impedance at the calculation frequency and the valve and load impedances at other frequencies as well.

  • PDF

비대칭 형상 파력발전 로터의 선형 거동에 대한 수치적·실험적 연구 (Numerical and Experimental Study on Linear Behavior of Salter's Duck Wave Energy Converter)

  • 김동은;;고행식;이혜빈;배윤혁
    • 한국해양공학회지
    • /
    • 제33권2호
    • /
    • pp.116-122
    • /
    • 2019
  • Among the various wave power systems, Salter's duck (rotor) is one of the most effective wave absorbers for extracting wave energy. The rotor shape is designed such that the front part faces the direction of the incident wave, which forces it to bob up and down due to wave-induced water particle motion, whereas the rear part, which is mostly circular in shape, reflects no waves. The asymmetric geometric shape of the duck makes it absorb energy efficiently. In the present study, the rotor was investigated using WAMIT (a program based on the linear potential flow theory in three-dimensional diffraction/radiation analyses) in the frequency domain and verified using OrcaFlex (design and analysis program of marine system) in the time domain. Then, an experimental investigation was conducted to assess the performance of the rotor motion based on the model scale in a two-dimensional (2D) wave tank. Initially, a free decay test (FDT) was carried out to obtain the viscous damping coefficient. The pitch response was extracted from the experimental time series in a periodic regular wave for two different wave heights (1 cm and 3 cm). In addition, the viscous damping coefficient was calculated from the FDT result and fluid forces, obtained from WAMIT, are incorporated into the final response of the rotor. Finally, a comparative study based on experimental and numerical results (WAMIT & OrcaFlex) was performed to confirm the performance reliability of the designed rotor.

LMI-Based Intelligent Digital Redesign for Multirate Sampled-Data Fuzzy Systems

  • 김도완;주영훈;박진배
    • 한국지능시스템학회논문지
    • /
    • 제16권1호
    • /
    • pp.113-118
    • /
    • 2006
  • This paper presents a new linear-matrix-inequality-based intelligent digital redesign (LMI-based IDR) technique to match the states of the analog and the digital T-S fuzzy control systems at the intersampling instants as well as the sampling ones. The main features of the proposed technique are: 1) the affine control scheme is employed to increase the degree of freedom; 2) the fuzzy-model-based periodic control is employed, and the control input is changed n times during one sampling period; 3) The proposed IDR technique is based on the approximately discretized version of the T-S fuzzy system, but its discretization error vanishes as n approaches the infinity. 4) some sufficient conditions involved in the state matching and the stability of the closed-loop discrete-time system can be formulated in the LMIs format.

종동력을 받는 이중진자의 혼돈운동 연구 (Chaotic Behavior of a Double Pendulum Subjected to Follower Force)

  • 장안배;이재영
    • 소음진동
    • /
    • 제7권3호
    • /
    • pp.439-447
    • /
    • 1997
  • In this study, the dynamic instabilities of a nonlinear elastic system subjected to follower forces are investigated. The two-degree-of-freedom double pendulum model with nonlinear geometry, cubic spring, and linear viscous damping is used for the study. The constant, the initial impact forces acting at the end of the model are considered. The chaotic nature of the system is identified using the standard methods, such as time histories, power density spectrum, and Poincare maps. The responses are chaotic and unpredictable due to the sensitivity to initial conditions. The sensitivities to parameters, such as geometric initial imperfections, magnitude of follower force, direction control constant, and viscous damping, etc., are analysed. Dynamic buckling loads are computed for various parameters, where the loads are changed drastically for the small change of parameters.

  • PDF