• Title/Summary/Keyword: sampled-data systems

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Stabilization of Multirate Sampled-Data Control Systems in Case of Open-Loop Unstable Plant (개루프 상태에서 플랜트가 불안정한 경우에 대한 멀티레이트 표본 데이터 제어 시스템의 안정화)

  • Son, Seok-Bo;Park, Sang-Hyeon;Kim, Yeong-Baek;Park, Chan-Sik;Lee, Sang-Jeong
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.7
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    • pp.547-555
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    • 2002
  • This paper proposes a stabilizing controller for the multirate sampled-data systems, which have a periodic output measurement scheme, in case of the open-loop unstable plant. A sufficient condition for maintaining observability in the multirate sampled-data systems is derived and a design strategy for filtered disturbance rejection is proposed. We also propose a design method for the plant output estimator. It is shown that the proposed pre-stabilizing controllers can stabilize the plant through the simulations. The proposed controller has IMC structure, and can be decomposed into the pre-stabilizing controller, the plant output estimator, the filtered disturbance estimator and the inverse of the fast pre-stabilized plant model. We assume that the plant is open-loop unstable and the disturbance consists of a sum of finite number of sinusoids with different frequencies. Some examples are presented for illustrations.

Stability of Sampled-Data Control Systems with Computer Interruptions (투명 PLZT 세라믹의 전기적 및 광 메모리 특성)

  • Jang, Seong-Whan
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.7
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    • pp.476-483
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    • 1987
  • This paper analyzes centralized sampled-data control systems with feedback loops which are closed through a digital computer which generates deadbeat control law. Intermittant computer interruptions result in failure to update the desired deadbeat design procedures for the deadbeat control law under normal operation of the control computer and the assumption of any admissible computer interruption are resented. A method that guarantees asymptotic stability under all admissible computer interruptions also is presented.

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Sampled-Data Control of Formation Flying using Optimal Linearization (최적 선형화 기반 디지털 재설계 기법을 이용한 편대 비행의 샘플치 제어)

  • Lee, Ho-Jae;Kim, Do-Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.1
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    • pp.61-66
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    • 2009
  • This paper proposes an efficient sampled-data controller design technique for formation flying. To deal with the nonlinearity in the formation flying dynamics and to obtain a linear, rather than affine, model, we utilize the optimal linearization technique. The digital redesign technique is then developed based on the optimal linear model and formulated in terms of linear matrix inequalities. Simulation results show the advantage of the proposed methodology over the conventional controller emulation technique.

Output regulation of linear sampled-data systems (선형 샘플치 시스템의 출력 조절)

  • 정선태
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.8
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    • pp.65-73
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    • 1997
  • The effects of time-sampling on linear output regulation problem is ivestigated. It is found that the solvability of linear output regulation problem is generally not robust with respect to time-sampling although the solvability of that for single inut and single output linear systems and the solvability of linear robust output regulation problem are preserved under time-sampling. The resutls imply that one needs to seek a better approximate sampled-data output regulator.

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Robust H$\infty$ FIR Filtering for Uncertain Time-Varying Sampled-Data Systems

  • Ryu, Hee-Seob;Kwon, Byung-Moon;Kwon, Oh-Kyu
    • Journal of KIEE
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    • v.11 no.1
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    • pp.21-26
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    • 2001
  • This paper considers the problem of robust H$\infty$ filter is derived by using the equivalence relationship between the FIR filter and the recursive filter, that would be guarantee a prescribed H$\infty$ performance in the continuous-time context, irrespective of the parameter uncertainty and unknown initial states.

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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.

Sampled-data Fuzzy Tracking Control of Nonlinear Control Systems (비선형 제어 시스템의 샘플치 퍼지 추적 제어)

  • Kim, Han Sol;Park, Jin Bae;Joo, Young Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.159-164
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    • 2017
  • In this paper, we propose a method of designing the sampled-data tracking controller for nonlinear systems expressed by the Takagi-Sugeno (T-S) fuzzy model. A sufficient condition that asymptotically stabilizes the state error between the linear reference model and the T-S fuzzy model is derived in terms of linear matrix inequalities. To this end, error dynamics are constructed, and the exact discretization method and the Lyapunov stability theory are employed in this paper. Finally, we validate the proposed method through the simulation example.

New Sufficient Conditions to Intelligent Digital Redesign for the Improvement of State-Matching Performance (상태-정합 성능 향상을 위한 지능형 디지털 재설계에 관한 새로운 충분조건들)

  • Kim, Do-Wan;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.293-296
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    • 2006
  • This paper presents new sufficient conditions to an intelligent digital redesign (IDR). The purpose of the IDR is to effectively convert an existing continuous-time fuzzy controller to an equivalent sampled-data fuzzy controller in the sense of the state-matching. The state-matching error between the closed-loop trajectories is carefully analyzed using the integral quadratic functional approach. The problem of designing the sampled-data fuzzy controller to minimize the state-matching error as well as to guarantee the stability is formulated and solved as the convex optimization problem with linear matrix inequality (LMI) constraints.

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Sampled-data Control for Lur'e Dynamical Systems (루에 동적 시스템을 위한 샘플데이타 제어)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.2
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    • pp.261-265
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    • 2014
  • This paper studies the problem of the sampled-data control for Lur'e system with nonlinearities. The nonlinearities are expressed as convex combinations of sector and slope bounds. It is assumed that the sampling periods are arbitrarily varying but bounded. By constructing a new augmented Lyapunov-Krasovskii functional which have an augmented quadratic form with states as well as the nonlinear function, the stabilizing sampled-data controller gains are obtained by solving a set of linear matrix inequalities. The effectiveness of the developed method is demonstrated by numerical simulations.

The Sampled-Data $H{\infty}$ Problem: Applying the Discretization Method via a Closed-Loop Expression of Worst-Case Disturbance (샘플치 $H{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 이산화 기법 적용)

  • 조도현;박진홍
    • Journal of the Korea Computer Industry Society
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    • v.2 no.7
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    • pp.967-974
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    • 2001
  • This paper aims at deriving an equivalent finite dimensional discrete-time system for $H{\infty}$ type problem for sampled-data control systems. A widely used approach is based on the lifting technique, but it needs somewhat complicate computation. Instead, this paper derives an equivalent finite-dimensional discrete-time system directly from a description of the sampled-data system which is achieved via a closed-loop expression of the worst-case intersample disturbance.

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