• Title/Summary/Keyword: time delays

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State feedback controller design for linear multivariable systems with delays (다변수 시간지연 시스템의 상태궤환 제어기 설계)

  • 홍석민;황승구;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.1040-1044
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    • 1992
  • This paper presents an algebraic approach for finding a dynamic state feedback controller when the linear multi-input system with delays in both state and input is controllable. In the time-delay case, controllability of the system does not always imply that system is cyclizable. Therefore, reduced order augmentation systems which is cyclizable as the time-varying case are considered. It is possible to construct feedback contorl systems by using single-input methods.

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LQ Regulator of Systems with Multiple Time-Delays by Memoryless Feedback

  • Kubo, Tomohiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.373-378
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    • 1998
  • A method to construct a memoryless feedback law for systems with multiple time-delays in the states is proposed. As a plant model, a differential-difference equation with multiple delayed terms is introduced, A stabilizability condition by memoryless feedback is presented. A feedback gain is calculated with a solution of a finite dimensional Riccati equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. An alternative stabilizability condition which is easier to check is given.

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ON GLOBAL EXPONENTIAL STABILITY FOR CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS

  • Kwon, O.M.;Park, Ju-H.;Lee, S.M.
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.961-972
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    • 2008
  • In this paper, we consider the global exponential stability of cellular neural networks with time-varying delays. Based on the Lyapunov function method and convex optimization approach, a novel delay-dependent criterion of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, the interior point algorithm is utilized in this work. Two numerical examples are given to show the effectiveness of our results.

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Internal Model Control for Unstable Overactuated Systems with Time Delays

  • Mahmoud, Ines;Saidi, Imen
    • International Journal of Computer Science & Network Security
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    • v.21 no.1
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    • pp.64-69
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    • 2021
  • In this paper, we have proposed a new internal model control structure (IMC). It is aimed at unstable overactuated multivariable systems whose transfer matrices are singular and unstable. The model inversion problem is essential to understand this structure. Indeed, the precision between the output of the process and the setpoint is linked to the quality of the inversion. This property is preserved in the presence of an additive disturbance at the output. This inversion approach proposed in this article can be applied to multivariable systems with no minimum phase or minimum phase shift with or without delays in their transfer matrices. It is proven by an example of simulation through which we have shown its good performance as a guarantee of stability, precision as well as rapidity of system responses despite the presence of external disturbances and we have tested this control structure in the frequency domain hence the robustness of the IMC.

Time Synchronization Robust to Topology Change Through Reference Node Re-Election (기준노드의 재선정을 통한 토폴로지 변화에 강인한 시간 동기화)

  • Jeon, Young;Kim, Taehong;Kim, Taejoon;Lee, Jaeseang;Ham, Jae-Hyun
    • KIPS Transactions on Computer and Communication Systems
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    • v.8 no.8
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    • pp.191-200
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    • 2019
  • In an Ad-hoc network, a method of time synchronizing all the nodes in a network centering on one reference node can be used. A representative algorithm based on a reference node is Flooding Time Synchronization Protocol (FTSP). In the process of sending and receiving messages, predictable and unpredictable delays occur, which should be removed because it hinders accurate time synchronization. In multi-hop communications, hop delays occur when a packet traverses a number of hops. These hop delays significantly degrade the synchronization performance among nodes. Therefore, we need to find a method to reduce these hop delays and increase synchronization performance. In the FTSP scheme, hop delays can be greatly increased depending on the position of a reference node. In addition, in FTSP, a node with the smallest node ID is elected as a reference node, hence, the position of a reference node is actually arbitrarily determined. In this paper, we propose an optimal reference node election algorithm to reduce hop delays, and compare the performance of the proposed scheme with FTSP using the network simulator OPNET. In addition, we verify that the proposed scheme has an improved synchronization performance, which is robust to topology changes.

KINEMATIC GPS POSITIONING WITH NETWORK-DERIVED IONOSPHERIC DELAYS

  • Hong, Chang-Ki;Grejner-Brzezinska, Dorota A.;Won, Joong-Sun
    • Proceedings of the KSRS Conference
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    • 2007.10a
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    • pp.386-389
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    • 2007
  • Currently, fast and accurate long baseline positioning in kinematic mode is a challenging topic, but positional accuracy can be improved with the help of the network-derived external ionospheric corrections. To provide not only ionospheric corrections, but also their variances, satellite-by-satellite interpolation for the ionospheric delays is performed using the least-squares collocation (LSC) method. Satellite-by-satellite interpolation has the advantage in that the vertical projection used in single-layer ionospheric model is not required. Also, more reliable user positioning and the corresponding accuracy assessment can be obtained by providing not only external ionospheric corrections but also their variances. The rover positioning with and without the external ionospheric delays in both rapid-static and kinematic mode was performed and analyzed. The numerical results indicate that the improvement in the positioning quality is achieved using the proposed method. With the TAMDEF network in Antarctica, 18 % improvement in mean time-to-fix in kinematic mode was achieved.

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Long Baseline GPS RTK with Estimating Tropospheric Delays

  • Choi, Byung-Kyu;Roh, Kyoung-Min;Lee, Sang Jeong
    • Journal of Positioning, Navigation, and Timing
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    • v.3 no.3
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    • pp.123-129
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    • 2014
  • The real-time kinematic (RTK) is one of precise positioning methods using Global Positioning System (GPS) data. In the long baseline GPS RTK, the ionospheric and tropospheric delays are critical factors for the positioning accuracy. In this paper we present RTK algorithms for long baselines more than 100 km with estimating tropospheric delays. The state vector is estimated by the extended Kalman filter. We show the experimental results of GPS RTK for various baselines (162.10, 393.37, 582.29, and 1283.57 km) by using the Korea Astronomy and Space Science Institute GPS data and one International GNSS Service (IGS) reference station located in Japan. As a result, we present that long baseline GPS RTK can provide the accurate positioning for users less than few centimeters.

Control of an Inverted Pendulum System with CAN for Communication Medium (CAN을 통신매체로 하는 역진자 시스템의 제어)

  • Cho Sung-Min;Choi Hyoun-Chul;Hong Suk-Kyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.4
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    • pp.346-352
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    • 2006
  • In a networked control system (NCS), time delays which are larger than one sampling period can change the control period. As a result, it may cause system instability. This paper presents a control method for an NCS using the controller area network (CAN), where time delays arise in the control loop. Specifically, a simple yet efficient method is proposed to improve control performance in the presence of time delays. The proposed method, which can be regarded as a gain scheduling method, selects a suitable LQ control gain among several gains to deal with the problems due to the change of control period. It is found that the gain can be scheduled in terms of the relation between the gain and the sampling period, which is represented by first-order algebraic equations. The proposed method is evaluated with an inverted cart pendulum system where the actuator and sensors are connected through the CAN. Experiment results are presented to show the efficiency of the proposed method.

Approximation-Based Decentralized Adaptive Output-Feedback Control for Nonlinear Interconnected Time-Delay Systems (비선형 상호 연결된 시간 지연 시스템을 위한 함수 예측 기법에 기반한 분산 적응 출력 궤환 제어)

  • Yoo, Sung-Jin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.2
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    • pp.174-180
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    • 2012
  • This paper proposes a decentralized adaptive output-feedback controller design for nonlinear interconnected systems with unknown time delays. The interaction terms with unknown delays are related to all states of subsystems. The time-delayed functions are compensated by using appropriate Lyapunov-Krasovskii functionals and function approximation technique. The observer dynamic surface design technique is employed to design the proposed memoryless local controller for each subsystem. In addition, we prove that all signals in the closed-loop system are semiglobally uniformly bounded and control errors converge to an adjustable neighborhood of the origin.

Fuzzy Controller for Intelligent Networked Control System with Neutral Type of Time-delay (뉴트럴 타입 시간 지연을 갖는 지능형 네트워크 제어 시스템의 퍼지 제어기 설계)

  • Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.2
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    • pp.174-179
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    • 2009
  • We consider the stabilization problem for a class of networked control systems with neutral type of time delays. The neutral type of time-delays occur in controller-to-actuator and sensor-to-controller. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear system with neutral type of time-delays. The stabilization via state-feedback is first addressed, and delay-range-dependent stabilization conditions are proposed in terms of linear matrix inequalities (LMIs). Finally, an application example will be given to show the merits and design a procedure of the proposed approach.