• Title/Summary/Keyword: Sampled-data control

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Output regulation of nonlinear sampled-data systems (비선형 샘플치 시스템의 출력조절)

  • 정선태
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.391-394
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    • 1996
  • The effects of time-sampling on nonlinear output regulation problem is investigated. Output regulatedness is preserved under time sampling as in linear systems, however output regulatability is not robust with respect to time-sampling, and thus one needs to seek an approximate nonlinear sampled-data output regulator.

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Variable Structure Controller for Linear Time-Varying Sampled-Data Systems with Disturbances (외란을 갖는 선형 시변 샘플링된 시스템에 대한 가변구조제어기)

  • Park Kang-Bak
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.12
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    • pp.556-561
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    • 2002
  • In this paper, a discrete-time variable structure controller for linear time-varying sampled-data systems with disturbances is proposed. The proposed method guarantees that the system state if globally uniformly ultimately bounded (G.U.U.B), and the ultimate bound is shown to be the order of T, O(T), where T is a sampling period.

Digital Implementation of $H_\infty$ Optimal Controller ($H_\infty$ 최적제어기의 이산화 구현)

  • 김광우;오도창;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.471-476
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    • 1993
  • In this paper we proposed the digital implementation of an $H^{\infty}$-optimal controller using lifting technique and $H^{\infty}$-control theory. The discrete controller is obtained through iterative adjustment of sampling time and weighting function, which can ber performed by computing the L$_{2}$-induced input to output norm of the sampled-data system with bandlimited exogenous input. The resulting sampled-data bandlimited exogenous input. The resulting sampled-data system is stable and the performance including inter-sampling behaviour of the hybrid system can be also optimized.d.

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An improved linear sampled-data output regulators (개선된 선형 샘플치 출력 조절기)

  • 정선태
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1726-1729
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    • 1997
  • In general, the solvability of linear robust output regulation problem are not preserved under time-sampling. Thus, it is found that the digital regulator implemented by itme-sampling of anlog output regulator designed based on the continuous-time linear system model is nothing but a 1st order approximation with respect to time-sampling. By the way, one can design an improved sampled-data regulator with respect to sampling time by utilizing the intrinsic structure of the system. In this paper, we study the system structures which it is possible to design an improved sampled-data regulator with respect to sampling time.

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Antenna Control System Using Step Tracking Algorithm with H$_{\infty}$ Controller

  • Cho, Chang-Ho;Lee, Sang-Hyo;Kwon, Tae-Yong;Lee, Cheol
    • International Journal of Control, Automation, and Systems
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    • v.1 no.1
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    • pp.83-92
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    • 2003
  • The outdoor antenna servo system is subject to has significant torque disturbances from wind pressures and gusts on the antenna structures, as well as bearing and aerodynamic frictions. This control system should provide a sharp directivity in spite of the environmental disturbances and internal uncertainties. Therefore, the implementation of a real-time controller is necessary for the precise generation of the reference signal and robust tracking performance. In this paper, the discrete-time controller for the quick tracking of a target communication satellite is designed by applying the sampled-data $H_{\infty}$ control theory along with the reference signal generated by an improved conventional step-tracking algorithm. The sampled-data $H_{\infty}$controller demonstrates superior robustness for the longer sampling period when compared with a simple PID controller.

Leader-Following Sampled-Data Control of Wheeled Mobile Robots using Clock Dependent Lyapunov Function (시간 종속적인 리아프노프 함수를 이용한 모바일 로봇의 선도-추종 샘플 데이터 제어)

  • Ye, Donghee;Han, Seungyong;Lee, Sangmoon
    • IEMEK Journal of Embedded Systems and Applications
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    • v.16 no.4
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    • pp.119-127
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    • 2021
  • The aim of this paper is to propose a less conservative stabilization condition for leader-following sampled-data control of wheeled mobile robot (WMR) systems by using a clock-dependent Lyapunov function (CDLF) with looped functionals. In the leader-following WMR system, the state and input of the leader robot are measured by digital devices mounted on the following robot, and they are utilized to construct the sampled-data controller of the following robot. To design the sampled-data controller, a stabilization condition is derived by using the CDLF with looped functionals, and formulated in terms of sum of squares (SOS). The considered Lyapunov function is a polynomial form with respect to the clock related to the transmitted sampling instants. As the degree of the Lyapunov function increases, the stabilization condition becomes less conservative. This ensures that the designed controller is able to stabilize the system with a larger maximum sampling interval. The simulation results are provided to demonstrate the effectiveness of the proposed method.

The Ultimate Bound of Discrete Sliding Mode Control System with Short Sampling Period for DC Motor System (DC 모터 시스템을 위한 짧은 샘플링 시간을 갖는 이산슬라이딩 모드의 최종 수렴범위)

  • Park, Heum-Yong;Jo, Young-Hun;Park, Kang-Bak
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.3
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    • pp.245-248
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    • 2010
  • Almost all of control schemes proposed so far have been designed in the continuous-time domain theoretically. Actual systems, however, have been implemented in the discrete-time domain since Micro Control Unit(MCU) and/or microprocessors have been used for the controllers. Thus, the overall system turned to be a sampled-data system, and generally speaking, the ultimate error cannot converge to zero in the actual system even though the proposed control algorithm showed the asymptotic stability in the continuous-time domain. In this paper, therefore, the ultimate error bound of a sampled data system with a short sampling period has been investigated. The ultimate error is shown to be related in the sampling period.

A Line-integral Fuzzy Lyapunov Functional Approach to Sampled-data Tracking Control of Takagi-Sugeno Fuzzy Systems

  • Kim, Han Sol;Joo, Young Hoon
    • Journal of Electrical Engineering and Technology
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    • v.13 no.6
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    • pp.2521-2529
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    • 2018
  • This paper deals with a sampled-data tracking control problem for the Takagi-Sugeno fuzzy system with external disturbances. We derive a stability condition guaranteeing both asymptotic stability and H-infinity tracking performance by employing a newly proposed time-dependent line-integral fuzzy Lyapunov-Krasovskii functional. A new integral inequality is also introduced, by which the proposed stability condition is formulated in terms of linear matrix inequalities. Finally, the effectiveness of the proposed method is demonstrated through a simulation example.

Stabilization of Nonlinear Discrete-Time Systems in a Frequency Domain

  • Okuyama, Yoshifumi;Nakamori, Kenji;Takemori, Fumiaki
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.33.2-33
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    • 2001
  • The robust stability condition for sampled-data control systems with a sector nonlinearity was presented in our previous paper. Although it is applicable only to the sampled-data control system of a certain class, a usual discretetime control system can belongs to this type of class. This paper analyzes the amplitude dependent behavior of nonlinear sampled-data (i.e., discrete-time) control systems in a frequency domain. By considering restricted areas (sectors) in the nonlinear characterisitic, the existence of a sustained oscillation is estimated, and the relationship between the stable/unstable conditions and the result derived from describing function is compared. Based on these considerations, the stabilization of nonlinear discrete-time control systems is examined in the frequency domain.

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Multirate IMC controller design for plants (불안정한 플랜트에 대한 멀티레이트 IMC 제어기 설계)

  • 김영백;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1209-1212
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    • 1996
  • In this paper, we design a stabilizing controller with disturbance rejection properties for multirate sampled-data systems which have periodic output measurement scheme. We assume that the plant is open-loop unstable and the disturbance consists of a sum of finite number of sine waves with different frequencies. A sufficient condition for maintaining observability in multirate sampled-data systems is derived. The proposed controller has an IMC structure and can be decomposed into the filtered-disturbance estimator and the inverse of the fast uniform sampled model of the pre-stabilized plant. An example is presented for illustrations.

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