• Title/Summary/Keyword: Uncertain

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Robust stabilization of linear discrete time systems with uncertain dynamics (불확실성이 있는 이산 시간 시스템의 강인 제어기 설계)

  • 이재원;이준화;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.742-746
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    • 1992
  • This paper proposes a new linear robust state feedback controller for the linear discrete time systems which have uncertainties in the state and input matrices. The uncertainties need not satisfy the matching conditions, but only their bounds are needed to be known. The proposed controller is derived from the linear quadratic game problem, which solution is obtained via the modified algebraic Riccati equation. The controller guarantees the robust performance bound. The bound of the solution and the condition of the uncertainties, which can stabilize the uncertain system are explored.

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AN EASILY CHECKING CONDITION FOR THE STAVILITY TEST OF A FAMILY OF POLYNOMIALS WITH NONLIMEARLY PERTURBED COEFFICIENTS

  • Kim, Young-Chol;Hong, Woon-Seon
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.5-9
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    • 1995
  • In many cases of robust stability problems, the characteristic polynomial has real coefficients which or nonlinear functions of uncertain parameters. For this set of polynomials, a new stability easily checking algorithm for reducing the conservatism of the stability bound are given. It is the new stability theorem to determine the stability region just in parameter space. Illustrative example show that the presented method has larger stability bound in uncertain parameter space than others.

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Sliding Mode Control with Finite Time Error Convergence

  • Park, Kang-Bak;Teruo Tsuji;Tsuyoshi Hanamoto
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.96-99
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    • 1999
  • In this paper, a sliding node controller guaranteeing finite time error convergence is proposed jot uncertain systems. By using a novel sliding hyperplane, it is guaranteed that the output tracking error converges to zero in finite time.

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Guaranteed Performance Control of Uncertain Linear Systems via Constant Gain State Feedback (고정이득 상태귀환을 통한 불확정 선형 시스템의 성능보장제어)

  • 이정문;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.6
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    • pp.956-960
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    • 1987
  • This paper investigates the control problem which is specified by an uncertain linear system and a linear quadratic performance index. Only the size of parameter uncertainty is assumed to be given instead of its statistics. In addition, a mathing condition which constrains the system structure is assumed to be satisfied. The control law can be obtained by solving an LQ optimal control problem for a nominal system.

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DNN-Based Adaptive Optimal Learning Controller for Uncertain Robot Systems (동적 신경망에 기초한 불확실한 로봇 시스템의 적응 최적 학습제어기)

  • 정재욱;국태용;이택종
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.6
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    • pp.1-10
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    • 1997
  • This paper presents an adaptive optimal learning controller for uncertian robot systems which makes use fo simple DNN(dynamic neural network) units to estimate uncertain parameters and learn the unknown desired optimal input. With the aid of a lyapunov function, it is shown that all that error signals in the system are bounded and the robot trajectory converges to the desired one globally exponentially. The effectiveness of the proposed controller is hsown by applying the controller to a 2-DOF robot manipulator.

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A study on the variable structure model following controller design of uncertain system (불확실한 시스템의 가변구조 모델 추종 제어기 설계에 관한 연구)

  • 박재홍;이형찬;양해원
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.155-160
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    • 1990
  • This paper presents the new VSMFC (variable structure model following control) algorithm of a system with parameter uncertainty. In contrast to the conventional approach, continuous control inputs am used instead of discontinous ones and modified reachability condition for sliding mode reduces a reaching phase and a newly proposed sliding surfaces are used for the robust control of uncertain system.

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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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Improving the Efficiency of Marketing Channel between a Wholesaler and a Retailer with Uncertain Characteristics

  • Lee, Kyung-Keun
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.1
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    • pp.169-187
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    • 1994
  • The efficiency of marketing channel of distribution between a sholesaler and a retailer with uncertain characteristics can be improved by influencing the retailer's ordering pattern. The wholesaler with large unit invetory holding cost can offer a large quantity discount tanks to the great benefit which comes from the transfer of part of his inventory to retailer. The retailer's increasing average inventory holding cost can be offset by the quantity discount and by savings of the ordering cost. Conditions under which marketing channel improvement can be possible are derived.

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An LMI-Based Sliding Mode Observer Design Method for Uncertain Time-Delay Systems (불확실한 시간 지연 시스템을 위한 LMI 기반 슬라이딩 모드 관측기 설계법)

  • Choi Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.10
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    • pp.1018-1021
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    • 2006
  • This paper presents an LMI-based method to design sliding mode observers for a class of uncertain time-delay systems. Using LMIs we derive an existence condition of a sliding mode observer guaranteeing a stable sliding motion. And we give explicit formulas of the observer gain matrices. Finally, we give a simple LMI-based design algorithm, togeter with a numerical design example.

Delay-dependent Guaranteed Cost Control for Uncertain Time-delay Systems (불확실 시간지연 시스템에 대한 지연량을 고려한 성능보장 제어)

  • 이영삼;문영수;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.13-13
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    • 2000
  • This paper considers delay-dependent guaranteed cost control for uncertain time-delay systems with norm-bounded parametric uncertainties. A new delay-dependent condition for the existence of the guaranteed cost control law is presented in terms of linear matrix inequalities (LMI). An algorithm involving convex optimization is proposed to design a controller which guarantees the suboptimal minimum of the guaranteed cost of the closed-loop system for all admissible uncertainties.

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