• Title/Summary/Keyword: robust condition

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Robust stability analysis of uncertain linear systems with input saturation using piecewise Lyapunov functions (불연속 리아푸노프 함수를 이용한 입력제한이 있는 불확실 선형 시스템의 안정성 해석)

  • Lee, Sang-Moon;Won, Sang-Chul
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.131-134
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    • 2003
  • In this paper, we consider the problem of finding the stability region in state space for uncertain linear systems with input saturation. For stability analysis, two Lyapunov functions are chosen. One is for the lineal region and the other is for the saturated legion. Piecewise Lyapunov functions are obtained by solving successive linear matrix inequalites(LMIs) relaxations. A sufficient condition for robust stability is derived in the form of stability region of initial conditions. A numerical example shows the effectiveness of the proposed method.

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Robust Model Predictive Control Using Polytopic Description of Input Constraints

  • Lee, Sang-Moon
    • Journal of Electrical Engineering and Technology
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    • v.4 no.4
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    • pp.566-569
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    • 2009
  • In this paper, we propose a less conservative a linear matrix inequality (LMI) condition for the constrained robust model predictive control of systems with input constraints and polytopic uncertainty. Systems with input constraints are represented as perturbed systems with sector bounded conditions. For the infinite horizon control, closed-loop stability conditions are obtained by using a parameter dependent Lyapunov function. The effectiveness of the proposed method is shown by an example.

Robust Stability and Transient Behavior of a Two-Degree-of-Freedom Servosystem (2자 유도 서보계의 강인한 안전성 및 과도특성)

  • 김영복
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.32 no.1
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    • pp.59-66
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    • 1996
  • This paper considers robust stability and transient behavior of the Two - Degree - of - Freedom(2DOF) servosystem. A class of uncertainties allowed in the plant model is obtained, to which the servosystem is robustly stable for any gain of the integral compensator. This result implies that if the plant uncertainty is the allowable set defined by the condition, a high - gain compensation can be carried out preserving stability to achieve a high - speed tracking response. The transient behavior attainable by the limit of the high - gain compensation is calculated using the singular perturbation approach.

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Decentralized Dynamic Controller Design for Uncertain Large-Scale Systems (섭동을 가지는 대규모 시스템의 다이나믹 제어기 설계)

  • Park, J.H.;Won, S.
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.469-471
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    • 1999
  • In this paper, a dynamic output feedback controller design technique for robust decentralized stabilization of uncertain large-scale systems is presented. Based on the Lyapunov method, a sufficient condition for robust stability, is derived in terms of three linear matrix inequalities(LMIs). The solutions of the LMIs can be easily obtained using efficient convex optimization techniques.

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Design of robust iterative learning controller for linear plant with initial error and time-delay (초기 오차와 시간 지연을 고려한 선형 플랜트에 대한 강인한 반복 학습 제어기의 설계)

  • 박광현;변증남;황동환
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.335-338
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    • 1996
  • In this paper, we are going to design an iterative learning controller with the robust properties for initial error. For this purpose, the PID-type learning law will be considered and the design guide-line will be presented for the selection of the learning gain. Also, we are going to suggest a condition for the convergence of control input for a plant with input delay. Several simulation results are presented, which shows the effectiveness of the proposed algorithms.

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Robust stability for discrete-time systems with delayed perturbations

  • Park, Juhyun;Rhee, Bongjae;Won, Sangchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.972-975
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    • 1996
  • This paper presents a sufficient condition for robust stability of discrete-time systems with delayed nonlinear perturbations. Using state evolution method, the bound on the norms of nonlinear perturbation which guarantees the exponential stability of the systems, is found. The numerical example is given to illustrate the results.

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A Robust Output Feedback Controller Design for Uncertain Linear Systems Using LQG/LTR (LQG/LTR 기법을 이용한 불확실한 선형 시스템의 견실한 출력 되먹임 제어기의 설계)

  • Jang, Tae-Jeong
    • Journal of Industrial Technology
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    • v.15
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    • pp.209-215
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    • 1995
  • In this paper, a controller design method for uncertain linear systems by output feedback is proposed. This method utilizes the LQG/LTR procedure for systems with uncertainties described in the time domain. It is assumed that the uncertainties satisfy the matching conditions and their bounds are known. First, a robust state feedback controller design method is introduced. Then, it is asymtotically recovered for the output feedback system by the loop transfer recovery(LTR) method under a certain condition.

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Strategies for Robust System Design Using Fuzzy Satisfaction Function (퍼지만족함수를 이용한 강건 시스템 설계전략)

  • 황인극;박동진
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.47
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    • pp.233-241
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    • 1998
  • With the increasing complexity of man-made systems, computer simulation has become a widely used tool for the design and analysis of complex system. When computer simulation is used for the purpose of system design, the analysts want to develop strategies to achieve some pre-defined target condition for an output of interest while simultaneously minimizing its variance. The goal of this research is to develop and demonstrate a new method for the design of robust systems with multiple responses using the fuzzy satisfaction function and computer simulation experiments.

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Robust Tracking Control of TS Fuzzy Systems with Parametric Uncertainties (파라미터 불확실성을 포함한 TS퍼지 시스템의 강인 추종 제어)

  • 이호재;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.05a
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    • pp.260-263
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    • 2000
  • In this paper, a tracking control technique of Takagi-Sugeno(TS) fuzzy systems with parametric uncertainties is developed. The uncertain TS fuzzy system is represented as an uncertain multiple linear system. The tracking problem of TS fuzzy system is converted into the regulation problem of a multiple linear system. A sufficient condition for robust tracking is obtained in terms of linear matrix inequalities(LMI). A Design example is illustrated to show the effectiveness of the proposed method.

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