• 제목/요약/키워드: Time Delay System

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비구조화된 불확실성과 시변 지연시간을 갖는 이산 시변 구간 시스템의 안정조건 (Stability Condition for Discrete Interval Time-Varying System with Unstructured Uncertainty and Time-Varying Delay Time)

  • 한형석
    • 한국항행학회논문지
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    • 제26권6호
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    • pp.504-509
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    • 2022
  • 본 논문에서는 시변 지연 시간이 있는 선형 이산 시변 구간 시스템에 비구조화된 불확실성이 존재하는 경우에 대하여 안정조건을 다룬다. 구간 시스템은 시스템 행렬들이 구간행렬의 형태로 주어지는 시스템으로 본 논문에서는 이러한 구간 시스템 행렬과 상태변수의 지연 시간이 시변인 특성을 갖는 시스템에 대하여, 비선형성을 포함하며 그 크기만을 알 수 있는 비구조화된 불확실성이 존재하는 경우에 대한 시스템의 안정조건을 제안한다. 안정조건의 유도는 리아프노프 방정식의 상한 해를 이용하는 기존 결과와는 다르게 리아프노프 안정 조건을 기반으로 이루어지며, 간단한 부등식의 형태로 표현되어 안정성 판단에 편리하게 적용될 수 있는 장점을 갖는다. 또한, 제안된 안정조건은 기존에 발표된 다양한 선형 이산 시스템에 대한 안정 조건을 포함할 수 있는 포괄적이고 강력한 것으로, 시변 지연시간 변동 크기, 불확실성의 크기와 구간행렬의 범위를 모두 조건식에 포함하게 된다. 새로운 조건의 우수함은 유도과정에서 증명되어지며 수치예제를 통하여 제안된 조건의 효용성과 우수성을 검증한다.

지연귀환을 통한 비선형 섭동이 존재하는 불확실 시간지연 시스템의 성능보장 제어 (Guaranteed Cost Control for Uncertain Time-Delay Systems with nonlinear Perturbations via Delayed Feedback)

  • 박주현;권오민
    • 제어로봇시스템학회논문지
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    • 제13권6호
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    • pp.581-588
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    • 2007
  • In this paper, we propose a delayed feedback guaranteed cost controller design method for linear time-delay systems with norm-bounded parameter uncertainties and nonlinear perturbations. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, an LMI optimization problem is formulated to design a controller such that the closed-loop cost function value is not more than a specified upper bound for all admissible system uncertainties and nonlinear perturbations. Numerical example show the effectiveness of the proposed method.

심활성도 압반사 제어 모델을 이용한 심혈관시스템 모델링 및 시뮬레이션 (Modeling and Simulation of the Cardiovascular System Using Baroreflex Control Model of the Heart Activity)

  • 최병철;정도운;손정만;예수영;김호종;이현철;김윤진;정동근;이상훈;전계록
    • 대한의용생체공학회:의공학회지
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    • 제25권6호
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    • pp.565-573
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    • 2004
  • 본 연구에서는 심혈관시스템 내의 압력 변화를 감지하는 압수용체 중 가장 대표적인 대동맥 압수용체의 시뮬레이션을 위한 심활성도 압반사 제어모델을 제안하였다. 그리고 제안된 모델은 압반사 조절, 시간지연을 포함한 전기회로 모델들로 구성하였으며, 대동맥동의 압반사 조절시 시간지연이 심주기와 일회 심박출량에 주는 영향을 관찰할 수 있도록 하였다. 심활성도 압수용체 제어 모델에서 시간지연의 기전은 대동맥동 압수용체에서 감지된 압력 정보가 구심성 신경으로 전달되고, 이 정보는 중추신경을 거쳐 원심성 신경으로 전달되어 제어 기능을 수행한다. 제안된 모델의 시뮬레이션 결과 시간지연에 따라 심혈관시스템 변이성의 세가지 패턴을 관찰할 수 있었다. 먼저 시간지연이 2.5초 이상일 경우에는 대동맥압, 일회심박출량, 심박동수가 비주기적으로 발생하고 불규칙인 것을 관찰할 수 있었고, 시간지연이 0.1초에서 2.5초 사이일 경우에는 주기적인 진동이 발생함을 관찰할 수 있었다. 그리고 시간지연이 0.1초 이하인 경우에는 심박동수와 동맥압-심박동수의 궤적은 안정상태를 유지함을 관찰할 수 있었다.

A Single DOF Magnetic Levitation System using Time Delay Control and Reduced-Order Observer

  • Park, Jung-Soo;Baek, Yoon-Su
    • Journal of Mechanical Science and Technology
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    • 제16권12호
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    • pp.1643-1651
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    • 2002
  • Magnetic levitation systems are required to have a large operating range in many applications. As one method to solve this problem, Time Delay Control (TDC) is applied to a single-axis magnetic levitation system in this paper A reduced-order observer is utilized to estimate states excluding measurable states in the control law. The system consists of a square air-core solenoid and a circular permanent magnet attached on a plastic ball. Theoretical magnetic forces of the system are obtained on the basis of the location of the magnet around the solenoid. The magnetic levitation force is obtained by the experiment, and then compared with the theoretical one. As the results of the control experiments, the nonlinear controller (TDC : 1-2 ㎜) has a larger operating range than the linear controller (PD control : 1-1.4 ㎜), and is superior to linear. control in the robustness to the modeling uncertainty and the performance of the disturbance rejection.

오토자일렌과 노말펜탄올 계의 최소자연발화온도 측정 (Measurement of Autoignition Temperature of o-Xylene+n-pentanol System)

  • 하동명;이성진
    • 한국안전학회지
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    • 제21권4호
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    • pp.66-72
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    • 2006
  • An accurate knowledge of the AITs(autoignition temperatures) is important in developing appropriate prevention and control measures in industrial fire protection. The measurement of AITs are dependent upon many factors, namely initial temperature, pressure, vessel size, fuel/air stoichiometry, catalyst, concentration of vapor, ignition delay time. The values of the AITs used process safety are normally the lowest reported, to provide the greatest margin of sefety. This study measured the AITs of o-xylene+n-pentanol system from ignition delay time by using ASTM E659-78 apparatus. The experimental AITs of o-xylene and n-pentanol were $480^{\circ}C\;and\;285^{\circ}C$, respectively. The experiment AITs of o-xylene+n-pentanol system were a good agreement with the calculated AITs by the proposed equations with a few A.A.D.(average absolute deviation).

Guaranteed Cost Control for a Class of Uncertain Delay Systems with Actuator Failures Based on Switching Method

  • Wang, Rui;Zhao, Jun
    • International Journal of Control, Automation, and Systems
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    • 제5권5호
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    • pp.492-500
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    • 2007
  • This paper focuses on the problem of guaranteed cost control for a class of uncertain linear delay systems with actuator failures. When actuators suffer "serious failure" the never failed actuators can not stabilize the system, based on switching strategy of average dwell time method, under the condition that activation time ratio between the system without actuator failure and the system with actuator failures is not less than a specified constant, a sufficient condition for exponential stability and weighted guaranteed cost performance are developed in terms of linear matrix inequalities (LMIs). Finally, as an example, a river pollution control problem illustrates the effectiveness of the proposed approach.

Nonlinear Networked Control Systems with Random Nature using Neural Approach and Dynamic Bayesian Networks

  • Cho, Hyun-Cheol;Lee, Kwon-Soon
    • International Journal of Control, Automation, and Systems
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    • 제6권3호
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    • pp.444-452
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    • 2008
  • We propose an intelligent predictive control approach for a nonlinear networked control system (NCS) with time-varying delay and random observation. The control is given by the sum of a nominal control and a corrective control. The nominal control is determined analytically using a linearized system model with fixed time delay. The corrective control is generated online by a neural network optimizer. A Markov chain (MC) dynamic Bayesian network (DBN) predicts the dynamics of the stochastic system online to allow predictive control design. We apply our proposed method to a satellite attitude control system and evaluate its control performance through computer simulation.

Back-up Control of Truck-Trailer Vehicles with Practical Constraints: Computing Time Delay and Quantization

  • Kim, Youngouk;Park, Jinho;Paik, Joonki
    • IEIE Transactions on Smart Processing and Computing
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    • 제4권6호
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    • pp.391-402
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    • 2015
  • In this paper, we present implementation of backward movement control of truck-trailer vehicles using a fuzzy mode-based control scheme considering practical constraints and computational overhead. We propose a fuzzy feedback controller where output is predicted with the delay of a unit sampling period. Analysis and design of the proposed controller is very easy, because it is synchronized with sampling time. Stability analysis is also possible when quantization exists in the implementation of fuzzy control architectures, and we show that if the trivial solution of the fuzzy control system without quantization is asymptotically stable, then the solutions of the fuzzy control system with quantization are uniformly ultimately bounded. Experimental results using a toy truck show that the proposed control system outperforms a conventional system.

Guaranteed Cost Control of Parameter Uncertain Systems with Time Delay

  • Kim, Jong-Hae
    • Transactions on Control, Automation and Systems Engineering
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    • 제2권1호
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    • pp.19-23
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    • 2000
  • In this paper, we deal with the problem of designing guaranteed cost state feedback controller for the generalized time-varying delay systems with delayed state and control input. The generalized time delay system problems solved on the basis of LMI(linear matrix inequality) technique considering time-varying delays. The sufficient condition for the existence of controller and guaranteed cost state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be reformulated as LMI forms in terms of transformed variables. Therefore, all solutions of LMIs, guaranteed cost controller gain, and guaranteed cost are obtained at the same time. The proposed controller design method can be extended into the problem of robust guaranteed cost controller design method for parameter uncertain systems with time-varying delays easily.

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Robust H${\infty}$Fuzzy Control of Nonlinear Systems with Time-Varying Delay via Static Output Feedback

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1486-1491
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    • 2005
  • In this paper, a robust H${\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent uncertain nonlinear systems with time-varying delayed state, which is a continuous-time or discrete-time system. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust H${\infty}$controllers are given in terms of linear matrix inequalities.

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