• Title/Summary/Keyword: Discrete Model

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Discrete-Time Sliding Mode Control for Robot Manipulators

  • Park, Jae-Sam
    • Journal of Korea Society of Industrial Information Systems
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    • v.16 no.4
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    • pp.45-52
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    • 2011
  • In the real-field of control cases for robot manipulators, there always exists a modeling error, which results the model has the uncertainties in its parameters and/or structure. In many modem applications, digital computers are extensively used to implement control algorithms to control such systems. The discretization of the nonlinear dynamic equations of such systems results in a complicated discrete dynamic equations. Therefore, it will be difficult to design a discrete-time controller to give good tracking performances in the presence of certain uncertainties. In this paper, a discrete-time sliding mode control algorithm for nonlinear and time varying robot manipulators with uncertainties is presented. Sufficient conditions for guaranteeing the convergence of the discrete-time SMC system are derived. As example simulations, the proposed SMC algorithm is applied to a two-link robotic manipulator with unknown dynamics. The results of the simulation indicate that the developed control scheme is effective in manipulators and electro-mechanical system control.

Two-port machine model for discrete event dynamic systems (이산현상 시스템을 위한 두개의 입력을 가진 모델)

  • 이준화;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.212-217
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    • 1992
  • In this paper, a two ports machine(TPM) model for discrete event dynamic systems(DEDS) is proposed. The proposed model is a finite state machine which has two inputs and two outputs. Inputs and outputs have two components, events and informations. TPM is different from other state machine models, since TPM has symmetric input and output. This symmetry enables the block diagram representation of the DEDS with TPM blocks, summing points, multiplying points, branch points, and connections. The graphical representation of DEDS is analogous to that of control system theory. TPM has a matrix representation of its transition and information map. This matrix representation simplifies the analysis of the DEDS.

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Optimal output feedback design for discrete large scale systems with two time-scale separation properties

  • Jin, Jong-Sam;Kim, Soo-Joong
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.203-208
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    • 1987
  • Design problem of output feedback controllers for discrete large scale systems using simplified model is investigated. It is shown that neglecting fast modes does not generally guarantee the stability of the closed loop system. In this paper, the design procedure is proposed to stabilize the system by minimizing a quadratic cost function for the simplified model and a measure of stability for the neglected fast model.

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A Note on Discrete Interval System Reduction via Retention of Dominant Poles

  • Choo, Youn-Seok
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.208-211
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    • 2007
  • In a recently proposed method of model reduction for discrete interval systems, the denominator polynomial of a reduced model is computed by applying interval arithmetic to dominant poles of the original system. However, the denominator polynomial obtained via interval arithmetic usually has poles with larger intervals than desired ones. Hence an unstable polynomial can be derived from the stable polynomial. In this paper a simple technique is presented to partially overcome such a stability problem by accurately preserving desired real dominant poles.

ON THE APPLICATION OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL

  • Choi, Won
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.1043-1048
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    • 2011
  • W. Choi([1]) identified and characterized the limiting diffusion of this diploid model by defining discrete generator for the rescaled Markov chain. We denote by F the homozygosity and by S the average selection intensity. In this note, we define the Fleming-Viot process with generator of limiting diffusion and provide exact result for the relations of F and S.

A Studyon the Equivalent Model Transformation of the Discrete Linear Systems (이산 선형 시스템의 등가 모델 변환에 관한 연구)

  • 임승우;김정화;정찬수
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1991.10a
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    • pp.215-219
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    • 1991
  • This paper is equivalent model transform which reduces the restriction of digitalization in the discrete linear system. This algorithm is the method that weight is given to contribillity and obserbility gramian, the regular matrix T of coordinate transform is obtained and then the state space coefficents of weighted model can be obtained. This study shows the frequency reponse of low quantization error according to the order of weighting function. The result shows that frequency response of the proposed algorithm is better than that of the balanced realization in the system of smaller bit.

Frequency-Domain Balanced Stochastic Truncation for Continuous and Discrete Time Systems

  • Shaker, Hamid Reza
    • International Journal of Control, Automation, and Systems
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    • v.6 no.2
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    • pp.180-185
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    • 2008
  • A new method for relative error continuous and discrete time model order reduction is proposed. The reduction technique is based on two recently developed methods, namely frequency domain balanced truncation within a frequency bound and inner-outer factorization techniques. The proposed method is of interest for practical model order reduction because in this context it shows to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency. Numerical results show the accuracy and efficiency enhancement of the method.

Discrete model reduction over disc-type analytic domains (디스크형태의 해석적영역을 가지는 이산모델 차수축소)

  • 오도창;정은태;이갑래;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.5
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    • pp.27-34
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    • 1998
  • This paper is on the discrete model reduction method over disc-type analytic domains. We define hankel singular value over the disc that is mapped by standard bilinear mapping. And the generalized singular perturbation approximation and the direct truncation are generalized to GSPA and DT over a disc. Furthermore, it is shown that the reduced order model over a smaller domaing has a smaller .inf.-norm error bound. And the poposed reduction method is used to obtain the regional pole placement property.

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Hydrologic Time Series Model by Transfer Function (대체함수에 의한 수문 시계열 모형)

  • 강관원;김주환
    • Water for future
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    • v.24 no.3
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    • pp.61-70
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    • 1991
  • the relationships between rainfall and runoff are analyzed statistically and modelled using discrete linear transfer function, which can be shown with the relations between input and output in hydrologic system. The procedures of identification, estimation and diagnostic checking of model are proposed, and the suitabilith of assume model is determined by the statistics used in time series analysis.

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Robust $H_{\infty}$ Control for Uncertain Two-Dimensional Discrete Systems Described by the General Model via Output Feedback Controllers

  • Xu, Huiling;Zou, Yun;Xu, Shengyuan;Guo, Lei
    • International Journal of Control, Automation, and Systems
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    • v.6 no.5
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    • pp.785-791
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    • 2008
  • This paper considers the problem of robust $H_{\infty}$ control for uncertain 2-D discrete systems in the General Model via output feedback controllers. The parameter uncertainty is assumed to be norm-bounded. The purpose is the design of output feedback controllers such that the closed-loop system is stable while satisfying a prescribed $H_{\infty}$ performance level. In terms of a linear matrix inequality, a sufficient condition for the solvability of the problem is obtained, and an explicit expression of desired output feedback controllers is given. An example is provided to demonstrate the application of the proposed method.