• Title/Summary/Keyword: Predictor feedback controller

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Exponential Stability of Predictor Feedback for Discrete-Time Linear Systems with Input Delays (입력 지연을 갖는 이산시간 선형 시스템을 위한 예측기 피드백의 지수적 안정성)

  • Choi, Joon-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.7
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    • pp.583-586
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    • 2013
  • We consider discrete-time LTI (Linear Time-Invariant) systems with constant input delays. The input delay is modeled by a first-order PdE (Partial difference Equation) and a backstepping transformation is employed to design a predictor feedback controller. The backstepping approach results in the construction of an explicit Lyapunov function, with which we prove the exponential stability of the closed-loop system formed by the predictor feedback. The numerical example demonstrates the design of the predictor feedback controller, and illustrates the validity of the exponential stability.

Robustness Analysis of Predictor Feedback Controller for Discrete-Time Linear Systems with Input Delays (입력지연을 갖는 이산시간 선형시스템을 위한 예측기 피드백 제어기의 강인성 해석)

  • Choi, Joon-Young
    • Journal of IKEEE
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    • v.23 no.4
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    • pp.1265-1272
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    • 2019
  • We analyze the robustness of the existing predictor feedback controller for discrete-time linear systems with constant input delays against the structured model uncertainty. By modeling the constant input delay with a first-order PdE (Partial difference Equation), we replace the input delay with the PdE states. By applying a backstepping transformation, we build a target system that enables to construct an explicit Lyapunov function. Constructing the explicit Lyapunov function that covers the entire state variables, we prove the existence of an allowable maximum size of the structured model uncertainty to maintain stability and establish the robustness of the predictor feedback controller. The numerical example demonstrates that the stability of closed-loop system is maintained in the presence of the structured model uncertainty, and verifies the robustness of the predictor feedback controller.

Design of Controller using Smith Predictor in the Distributed control system including time-delay (시간 지연이 존재하는 분산 제어 시스템에서 Smith predictor를 이용한 제어기의 설계)

  • Cho, Duk-Young;Park, Eik-Dong;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2317-2319
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    • 2000
  • This paper presents a feedback controller for compensation time delay in the distributed control systems. In using network, controllers and sensors are distributed on a communications network, there exist time delays on communication lines between the system components. So, we deal with the controller using Smith predictor controller design issue for such systems. Particularly compensated for the time delay of the plant or controller involved integrator using Modified Smith predictor. Simulation and the results show the good performance for the modified Smith predictor control systems.

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Robust Nonlinear Control of Air-to-Fuel Ratio in Spark Ignition Engines

  • Myoungho Sunwoo;Paljoo Yoon;Park, Seungbum;Lee, Wootaik
    • Journal of Mechanical Science and Technology
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    • v.15 no.6
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    • pp.699-708
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    • 2001
  • This paper presents a new approach to the AFR (Air-to-Fuel Ratio) control problem, which is based on the wide-band oxygen sensor output. The dedicated nonlinear controller is based on the feedback lineaization technique. It is well known that the feedback linearizing control technique requires an exact model of the plant for the cancellation of plant nonlinearities. A sliding mode control scheme is applied which can effectively compensate the modeling uncertainties. The measurement time delay of an oxygen sensor limits the gain of the feedback controller. Hence, time delay compensation procedure is necessary for the improvement of control performance. The Smith predictor is adopted to compensate the effects of time delay. The simulation and experimental results show that the proposed controllers can effectively reduce the transient peaks of AFR in spite of fast tip-in and tip-out maneuvers of the throttle.

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Design of Dead Time Compensator with Robustness (강인한 특서을 갖는 지연시간 보상기의 설계)

  • 박귀태;이기상;김성호
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.2
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    • pp.199-208
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    • 1992
  • MIESF(Modified Integral Error and State Feedback) controller suggested in order to control the processes with time delay is the control scheme that combines Smith predictor and IESF(Integral Error and State Feedback). This control scheme has better performance than the conventional PID controller incorporating Smith predictor with respect to the robustness and control performance for the modelling error. MIESF controller can be simply designed by pole assignment algorithm. BUT in such a case, it is difficult to find proper poles which gurantee robustness with respect to process parameter uncertainties. In order to solve the aforementioned difficulties, we suggest a new design method for MIESF controller and show the validity of the proposed design method.

Design of Robust Controller for Systems with Time Delay (지연시간을 갖는 계통에 대한 강인한 제어기 설계)

  • 박귀태;이기상;김성호
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.9
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    • pp.997-1005
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    • 1990
  • Integral Error and State Feedback (IESF) controller which incorporates state feedback as a modern control scheme and integral action as a classical control scheme has better performance than that of conventional PID controller in linear time invariant system. But the structure of the IESF controller requires all the state variables of the system and is applicable only to pole assignable linear time invariant systems without time delay. Many industrial processes have large time delay and it is impossible to directly apply IESF control scheme to those processes. In this paper, a new controller structure, Modified Integral Error and State Feedback (MIESF) has been suggested in order to effectively control processes having time delay and its performance has been analyzed and its effectiveness has also been confirmed. As the proposed controller uses output feedback scheme based on integral error and state feedback (IESF) method, it can be simply designed by pole assignment algorithm irrespective of the order of the process. The MIESF controller can follow setpoint changes without overshoot. It is robuster than conventional Smith-Predictor plus PI(D) controller in case of occurring time delay mismatch and extra parameter mismatches between the process and the model. It can enhance control performance by intentional time delay mismatch.

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Control1er Design for Time-Delay System Using Relay Feedback (Relay Feedback을 이용한 시간지연 시스템에 대한 제어기 설계)

  • Lee, Kyu-Yong;Lee, Suk-Won
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2636-2638
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    • 2000
  • In this paper, we show the simple methods of designing the Smith predictor for the long dead time processes. We are using the relay feedback to model the processes in the second-order plus dead time structure. The model is able to represent a various class of processes dynamics including low- or high-order, and monotonic or oscillatory process. A PID type controller is proposed for the main controller in the Smith controller, which insure the stability of overall system. Simulation Examples are also provided to illustrate the effectiveness and applicability of the proposed controller.

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Global Regulation of a Class of Nonlinear Systems with Time-varying Delays in the Input and States with Matrix Inequality and Non-predictor Methods (행렬 부등식과 비예측 기법을 이용한 입력과 상태에 시변지연이 있는 비선형 시스템의 전역 안정화)

  • Koo, Min-Sung;Choi, Ho-Lim
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.7
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    • pp.491-495
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    • 2016
  • We deal with the regulation problem of nonlinear systems with time-varying delays in both the states and input. A new state feedback controller with dynamic gains is developed based on matrix inequality and non-predictor methods. The proposed control scheme is analyzed using the Razumikhin theorem, and its effectiveness is demonstrated with simulation results.

Predictive and Preventive Maintenance using Distributed Control on LonWorks/IP Network

  • Song, Ki-Won
    • International Journal of Safety
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    • v.5 no.2
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    • pp.6-11
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    • 2006
  • The time delay in servo control on LonWorks/IP Virtual Device Network (VDN) is highly stochastic in nature. LonWorks/IP VDN induced time delay deteriorates the performance and stability of the real-time distributed control system and hinders an effective preventive and predictive maintenance. Especially in real-time distributed servo applications on the factory floor, timely response is essential for predictive and preventive maintenance. In order to guarantee the stability and performance of the system for effective preventive and predictive maintenance, LonWorks/IP VDN induced time delay needs to be predicted and compensated for. In this paper position control simulation of DC servo motor using Zero Phase Error Tracking Controller (ZPETC) as a feedforward controller, and Internal Model Controllers (IMC) based on Smith predictor with disturbance observer as a feedback controller is performed. The validity of the proposed control scheme is demonstrated by comparing the IMC based on Smith predictor with disturbance observer.

Design of Irrigation Pumping System Controller for Operational Instrument of Articulation (관절경 수술을 위한 관주(灌注)시스 (Irrigation Pumping System) 제어기의 개발)

  • 김민수;이순걸
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1294-1297
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    • 2003
  • With the development of medical field, many kinds of operations have been performed on human articulation. Arthroscopic surgery, which has Irrigation Pumping System for security of operator vision and washing spaces of operation, has been used for more merits than others. In this paper, it is presented that the research on a reliable control algorithm of the pumping system instrument for arthroscopic surgery. Before clinical operation, the flexible artificial articulation model is used for realizing the model the most same as human's and the algorithm has been exploited for it. This system is considered of the following; limited sensing point, dynamic effect by compliance, time delay by fluid flow and so on. The system is composed with a pressure controller, a regulator for keeping air pressure, an airtight tank that can have distilled water packs, artificial articulation and a measuring system, and has controlled by the feedback of pressure sensor on the artificial articulation. Also the system has applied to Smith Predictor for time delay and the parameter estimation method for the most suitable system with both the experiment data and modeling. In this paper, the pressure error that is between an air pressure tank and an artificial articulation was measured so that the system could be presumed and then the controller had developed for performing State-Feedback. Finally, the controller with a real microprocessor has realized. The confidence of system can be proved by applying this control algorithm to an artificial articulation experiment material.

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