• Title/Summary/Keyword: Asymptotic Output Tracking

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Dynamic Output-Feedback Receding Horizon H$_{\infty}$ Controller Design

  • Jeong, Seung-Cheol;Moon, Jeong-Hye;Park, Poo-Gyeon
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.475-484
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    • 2004
  • In this paper, we present a dynamic output-feedback receding horizon $H_{\infty}$controller for linear discrete-time systems with disturbance. The controller is obtained numerically from the finite horizon output-feedback $H_{\infty}$optimization problem, which is, in fact, hardly solved analytically. Under a matrix inequality condition on the terminal weighting matrix, the monotonic decreasing property of the cost is shown. This property guarantees both the closed-loop stability and the $H_{\infty}$norm bound. Then, we extend the proposed design method to a reference tracking problem and a problem for time-varying systems. Numerical examples are given to illustrate the performance of the proposed controller.

Design of an Adaptive Robust Nonlinear Predictive Controller (적응성을 가진 강인한 비선형 예측제어기 설계)

  • Park, Gee--Yong;Yoon, Ji-Sup
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.12
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    • pp.967-972
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    • 2001
  • In this paper, an adaptive robust nonlinear predictive controller is developed for the continuous time nonlinear systems whose control objective is composed of the system output and its desired value. The basic control law is derived from the continuous time prediction model and its feedback dynamcis shows another from if input and output linearization. In order to cope with the parameter uncertainty, robust control is incorporated into the basic control law and the asymptotic convergence of tracking error to a certain bounded region is guaranteed. For stability and performance improvement within the bounded region, an adaptive control is introduced. Simulation tests for the motion control of an underwater wall-ranging robot confirm the performance improvement and the robustness of this controller.

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Output feedback-based model reference adaptive control for MIMO plants

  • Takahashi, Masanori;Mizumoto, Ikuro;Iwai, Zenta
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.181-184
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    • 1996
  • This paper deals with the design problem of model reference adaptive controllers for MIMO plants with unknown orders. A design scheme for an adaptive control system based on CGT theorem, which has hierarchical structures derived from backstepping strategies, is proposed for MIMO plants with unknown orders but with known relative MacMillan degrees(relative degrees for SISO plants). It is also shown that all the signals in the resulting control system are bounded, and that the asymptotic tracking is achieved in the case where reference inputs are step.

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Development and Control of a Small BLDC Motor for Entertainment Robots

  • Lee, Jong-Bae;Park, Chang-Woo;Rhyu, Sae-Hyun;Choi, Jun-Hyuk;Chung, Joong-Ki;Sung, Ha-Gyeong
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1500-1505
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    • 2004
  • This paper presents the design and control of a small Brushless DC (BLDC) Motor for entertainment robots. In order to control the developed BLDC motor, Adaptive Fuzzy Control (AFC) scheme via Parallel distributed Compensation(PDC) is developed for the multi- input/multi-output plant model represented by the Takagi-Sugeno(TS) model. The alternative AFC scheme is proposed to provide asymptotic tracking of a reference signal for the systems with uncertain or slowly time-varying parameters. The developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop system. In addition, the plant state tracks the state of the reference model asymptotically with time for any bounded reference input signal. The suggested design technique is applied to the velocity control of a developed small BLDC motor for entertainment robots.

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Adaptive Sliding Mode Control for Compensation of Uncertainty in Feedback Linearized Skid-to-Turn (STT) Missiles (궤환선형화된 STT 미사일의 불확실성 보상을 위한 적응 슬라이딩 모드 제어)

  • 김민수;좌동경;최진영
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.3
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    • pp.267-274
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    • 1999
  • This paper proposes an adaptive sliding mode control scheme for an autopilot design of Skid-to-Turn (STT) missiles. The feedback linearization controller eliminates nonlinear terms in STT dynamics and makes the entire system linear. But the modeling errors in dynamics and the external disturbances exert bad influence on the performance of the feedback linearization controller. To handle these uncertainties, an adaptive control scheme is developed, where a bound of the uncertainties is estimated by an adaptive law based on a sliding surface. The asymptotic output tracking is proved by using the Lyapunov stability theory. Simulations for STT missiles illustrate the validity of the proposed scheme.

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Nonlinear Control of Chua's Diode (Chua다이오드의 비선형제어)

  • Lim, So-Young;Lee, Ho-Jin;Lee, Jung-Kook;Kim, Seung-Roual;Lee, Keum-Won;Lee, Jun-Mo
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.285-287
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    • 2006
  • The paper treats the nonlinear robust control of Chua's circuit having Chuar's diode as an element based on the internal model principle. The Chua's diode has unknown nonlinear parameters and the circuits parameters are alos assumend unknown. Nonlinear regulator equations are established to obtain 3-fold equilibrium equations on which the output error is zero. Also an internal model of the 3-fold exosystem is constructed for obtaining the control law. Pole Placement method is used for obtaining the feeback control law. Simulation results are presented for tracking the sinusoidal and constant reference input signal. Asymptotic trajectory control and the suppression of chaotic motion in spite of uncertainties in the system are accomplished.

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Adaptive Model Reference Control Based on Takagi-Sugeno Fuzzy Models with Applications to Flexible Joint Manipulators

  • Lee, Jongbae;Lim, Joon-hong;Park, Chang-Woo;Kim, Seungho
    • Journal of Mechanical Science and Technology
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    • v.18 no.3
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    • pp.337-346
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    • 2004
  • The control scheme using fuzzy modeling and Parallel Distributed Compensation (PDC) concept is proposed to provide asymptotic tracking of a reference signal for the flexible joint manipulators with uncertain parameters. From Lyapunov stability analysis and simulation results, the developed control law and adaptive law guarantee the boundedness of all signals in the closed-loop multi-input/multi-output system. In addition, the plant state tracks the state of the reference model asymptotically with time for any bounded reference input signal.

Nonlinear Control using Stepwise Fuzzy Moving Sliding Surface (계단형 퍼지 이동 슬라이딩 평면을 이용한 비선형 제어)

  • 유병국;양근호
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.153-156
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    • 2003
  • This short paper suggests a control strategy using a stepwise fuzzy moving sliding surface. The moving surface is a Sugeno-type fuzzy system that has the angle of state error vector and the distance from the origin in the phase plane as inputs and a first-order linear differential equation as an output. The surface initially passes arbitrary initial states and subsequently moves towards a predetermined surface via rotating or shifting. the proposed method reduces the reaching and tracking time and improves robustness. The asymptotic stability of the fuzzy sliding surface is proved. The validity of the proposed control scheme is shown in computer simulation for a second-order nonlinear system.

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Stepwise Fuzzy Moving Sliding Surface for Second-Order Nonlinear Systems (2차 비선형 시스템에 대한 계단형 퍼지 이동 슬라이딩 평면)

  • Yoo, Byung-Kook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.6
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    • pp.524-530
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    • 2002
  • This note suggests a stepwise fuzzy moving sliding surface using Sugeno-type fuzzy system and presents a sliding mode control scheme using it. The fuzzy system has the angle of state error vector and the distance from the origin in the phase plane as inputs and a first-order linear differential equation as output. The surface initially passes arbitrary initial states and subsequently moves towards a predetermined surface via rotating or shifting. This method reduces the reaching and tracking time and improves robustness. Conceptually the slope of the Proposed fuzzy moving sliding surface increases stepwise in the stable region of the phase plane. The surface, however, rotates continuously because the surface is a fuzzy system. The asymptotic stability of the fuzzy sliding surface is proved. The validity of the proposed control scheme is shown in computer simulation for a second-order nonlinear system.

Design of Sliding Mode Controller Based on Adaptive Fault Diagnosis Observer for Nonlinear Continuous-Time Systems (비선형 연속 시간 시스템을 위한 적응 고장 진단 관측기 기반 슬라이딩 모드 제어기 설계)

  • Chang, Seung Jin;Choi, Yoon Ho;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.9
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    • pp.822-826
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    • 2013
  • In this paper, we propose an AFDO (Adaptive Fault Diagnosis Observer) and a fault tolerant controller for a class of nonlinear continuous-time system under the nonlinear abrupt actuator faults. Together with its estimation laws, the AFDO which estimates that the actuator faults is designed by using the Lyapunov analysis. Then, based on the designed AFDO, an adaptive sliding mode controller is proposed as the fault tolerant controller. Using Lyapunov stability analysis, we also prove the uniform boundedness of the state, the output and the fault estimation errors, and the asymptotic stability of the tracking error under the nonlinear time-varying faults. Finally, we illustrate the effectiveness of the proposed diagnosis method and the control scheme thorough computer simulations.