• Title/Summary/Keyword: Unknown parameter

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Indirect Adaptive Pole Assignment PID Controllers for Unknown Systems with time varying delay (시변 지연시간을 가지는 미지의 시스템에 대한 간접 극배치 적응 PID 제어기)

  • Nam, Hyun-Do;Ahn, Dong-Jun
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.913-916
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    • 1988
  • Indirect adaptive pole assignment PID controllers for unknown systems with time varying delay, is proposed. Unknown system parameters are estimated by recursive least square method, and time varying delay is estimated using indirect predictors. Since the order of parameter vectors didn't increase, the computational burden is not largely increased in spite of using indirect adaptive control method with time varying delay estimation. Computer simulation is performed to illustrate the efficiency of the proposed method.

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Robust Backstepping Design of Nonlinear Systems Using Adaptation Strategy for Uncertaninties (불확실성 적응기법을 이용한 비선형 시스템의 강인 백스테핑 설계)

  • Kim, Dong-Heon;Kim, Eung-Seok;Yang, Hae-Won
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.7
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    • pp.605-613
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    • 2001
  • In this paper, we design a robust adaptive controller for a nonlinear system with uncertainties to be rejected via disturbance adaptation law. The nonlinear system considered has unknown nonlinear functions being influenced by external disturbance. The upper bound of unknown nonlinear functions at each time is estimated by using a disturbance adaptation law. The estimated nonlinear functions are used to design a stabilizing function a control input. Tuning function is used to estimates unknown system parameter without overparametrization. A set-point regulation error converges to a residual set close to zero asymptotically. The effectiveness of the proposed controller is investigated by computer simulation.

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A two-parameter discrete distribution with a bathtub hazard shape

  • Sarhan, Ammar M.
    • Communications for Statistical Applications and Methods
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    • v.24 no.1
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    • pp.15-27
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    • 2017
  • This paper introduces a two-parameter discrete distribution based on a continuous two-parameter bathtub distribution. It is the only two-parameter discrete distribution that shows a bathtub-shaped hazard function. Some statistical properties of the distribution are discussed. Three different methods are used to estimate its two unknown parameters. The point estimators of the parameters have no closed form. The bootstrap method is used to estimate the distributions of these point estimators. Different approximations of the interval estimations for the two-parameters are discussed. Real data sets are analyzed to show how this distribution works in practice. A simulation study is performed to investigate the properties of the estimations obtained and compare their performances.

A Study on the Discrete Time Parameter Adaptive Learning Control System (이산시간 파라미터 적응형 학습제어 시스템에 관한 연구)

  • 최순철;양해원
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.13 no.4
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    • pp.352-359
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    • 1988
  • A learning control system which should have memory elements can be designed by utilizing the concept of parameter adaptation for unknown control object system parameters and regard it as a hybrid adaptive control system. A parameter adaptive learning control system applicable to a continuous time system has been already reported. Since there have been rapid developments in digital technology, it is possible to extend a continuous time parameter adaptive learning control system concept to a discrete time case. This problem is treated in this paper. Its justfication is proved and a simulation shows that this algorithms is effective.

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Regional Identifiability of Spatially-Varying Parameters in Distributed Parameter Systems of Hyperbolic Type

  • Nakagiri, Shin-ichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.423-428
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    • 1998
  • This paper studies the regional identifiability of spatially-varying parameters in distributed parameter systems of hyperbolic type. Let Ω be a bounded domain of R$^n$and let Ωo be a subregion of the closed domain Ω. The distributed parameter systems having unknown parameters defined on Ω are described by the second order evolution equations in the filbert space L$^2$(Ω) and the observations are made on the subregion Ωo ⊂ Ω. The regional identifiability is formulated as the uniqueness of parameters by the identity of solutions on the subregion. Several regional identifiability results of the spatially-varying parameters of hyperbolic distributed parameter systems are established by means of the Riesz spectral representations.

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A new approach on the robust control for robot manipulator using Krasovskii theorem (Krasovskii 정리를 이용한 로보트 매니퓰레이터의 강건제어에 관한 새로운 접근)

  • Kim, Chong-Soo;Park, Sei-Seung;Park, Chong-Kug
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.4
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    • pp.590-595
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    • 1996
  • The robust control technique is generally the iterative design method to determine a robust control for perturbed system with prescribed range of perturbation based on the robust stability measure. However, robot manipulator has the structured pertubation and the unstructured one. This paper proposes the robust technique for designing controller such that the trajectory of end-effector of robot manipulator tracks asymptotically the desired trajectory for all allowable variations in the manipulator's parameter. For satisfying asymptotical stability though we can not know the bound of perturbations and the parameter variations, the relation between the unknown parameter and the parameter of nominal system can be derived from Krasovskii theorem and we construct the new robust control using that relation. (author). 12 refs., 6 figs.

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ESTIMATION ALGORITHM FOR PHYSICAL PARAMETERS IN A SHALLOW ARCH

  • Gutman, Semion;Ha, Junhong;Shon, Sudeok
    • Journal of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.723-740
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    • 2021
  • Design and maintenance of large span roof structures require an analysis of their static and dynamic behavior depending on the physical parameters defining the structures. Therefore, it is highly desirable to estimate the parameters from observations of the system. In this paper we study the parameter estimation problem for damped shallow arches. We discuss both symmetric and non-symmetric shapes and loads, and provide theoretical and numerical studies of the model behavior. Our study of the behavior of such structures shows that it is greatly affected by the existence of critical parameters. A small change in such parameters causes a significant change in the model behavior. The presence of the critical parameters makes it challenging to obtain good estimation. We overcome this difficulty by presenting the Parameter Estimation Algorithm that identifies the unknown parameters sequentially. It is shown numerically that the algorithm achieves a successful parameter estimation for models defined by arbitrary parameters, including the critical ones.

Adaptive Variable Structure Control of Container Cranes with Unknown Payload and Friction (미지의 부하와 마찰을 갖는 컨테이너 크레인의 적응 가변구조제어)

  • Baek, Woon-Bo;Lim, Joong-Seon
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.10
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    • pp.1008-1013
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    • 2014
  • This paper introduces an adaptive anti-sway tracking control algorithm for container cranes with unknown payloads and friction between the trolley and the rail. If the friction effects in the system can be modeled, there is an improved potential to design controllers that can cancel these effects. The proposed control improves the sway suppressing and the positioning capabilities of the trolley and hoisting against uncertain payload and friction. The variable structure controls are first designed based on a class of feedback linearization methods for the stabilization of the under-actuated sway dynamics. The adaptation mechanism are then designed with parameter estimation of unknown payload and friction compensation for the trolley and hoisting, based on Lyapunov stability methods for the accurate positioning and fast attenuation of trolley oscillation due to frictions in the vicinity of the target position. The asymptotic stability of the overall closed-loop system is assured irrespective of variations of rope length. Simulations are shown under various frictions and external winds in the case of no priori information of payload mass.

A Study on the new adaptive sliding mode control (새로운 적응 슬라이딩 모드제어에 관한 연구)

  • 박승규;김민찬;정은태;곽군평
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.325-325
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    • 2000
  • This paper proposes a modified adaptive sliding mode control which improve the performance by making the system follow the nominal trajectories controlled by nominal controller. This method is used for the system with unknown parameter uncertainty and bounded uncertainties.

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A Quasi-Likelihood Approach to Nonlinear Filtering Problems

  • Kim, Yoon-Tae
    • Journal of the Korean Statistical Society
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    • v.27 no.2
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    • pp.221-235
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    • 1998
  • Suppose that an observed process can be written as the additive model of the signal process and the noise process with unknown parameters. In practice the signal process is not directly observed. We consider the problem of estimating parameter from the observation process using the quasi-likelihood method.

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