• Title/Summary/Keyword: bounded uncertainty

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Intelligent Control of Robot Manipulators by Learning (학습을 이용한 로봇 머니퓰레이터용 지능제어)

  • Lee DongHun;Kuc TaeYong;Chung ChaeWook
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.4
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    • pp.330-336
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    • 2005
  • An intelligent control method is proposed for control of rigid robot manipulators which achieves exponential tracking of repetitive robot trajectory under uncertain operating conditions such as parameter uncertainty and unknown deterministic disturbance. In the learning controller, exponentially stable learning algorithms are combined with stabilizing computed error feedforward and feedback inputs. It is shown that all the error signals in the learning system are bounded and the repetitive robot motion converges to the desired one exponentially fast with guaranteed convergence rate. An engineering workstation based control system is built to verify the effectiveness of the proposed control scheme.

Robust tracking control for uncertain linear systems using linear matrix inequlities (선형행렬 부등식을 이용한 불확실한 선형시스템에 대한 강인 추적제어기)

  • Lee, Jae-Won;Kwon, Wook-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.3
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    • pp.289-294
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    • 1998
  • 본 논문에서는 상태행렬과 입력행렬에 시변 불확실성이 있는 선형시스템에 대한 강인 추적 제어기를 제안한다. 본 논문에서 대상으로 하는 불확실성은 block-diagonally structured uncertainty와 norm bounded uncertainty인데 모두 정합 조건을 만족시킬 필요는 없다. 폐루프 시스템이 불확실성하에서 안정할 수 있는 조건을 제시하고 이 조건이 선형행렬 부등식으로 나타낼 수 있음을 보인다. 추적 오차를 줄이고 오차 감소 비율을 증가시킬 수 있는 최적화 방법도 제아한다. 또한 불확실성의 크기가 0으로 줄어들면 추적 오차도 0으로 줄어듬을 보인다.

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Robust Pole Assignment of Linear Systems with Time-Varying Uncertainty (시변 불확정성을 갖는 선형 시스템의 강인 극점 배치)

  • Kim, Jin-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.1
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    • pp.31-35
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    • 1999
  • In this paper, we consider the robust pole assignment and the upper bound of quadratic cost function for the linear systems with time-varying uncertainy. The considered uncertainties are both the norm bounded unstructured case and the structured case that has the matrix polytope type uncertain structure. We derve conditions that guarantee the robust pole assignment inside a disk in the L.H.P. and the robust stability. Also, we derive the upper bound of quadratic cost for thil pole assigned systems. Finally, we show the usefulness of our results by an example.

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Design of Robust Guaranteed Cost State Feedback Controller for Uncertain Discrete-time Singular Systems using LMI (선형행렬부등식을 이용한 불확실성 이산시간 특이시스템의 강인 보장비용 상태궤환 제어기 설계)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1429-1433
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    • 2008
  • In this paper, we consider the design method of robust guaranteed cost controller for discrete-time singular systems with norm-bounded time-varying parameter uncertainty. In order to get the optimum(minimum) value of guaranteed cost, an optimization problem is given by linear matrix inequality (LMI) approach. The sufficient condition for the existence of controller and the upper bound of guaranteed cost function are proposed in terms of strict LMIs without decompositions of system matrices. Numerical examples are provided to show the validity of the presented method.

Robust Control for Networked Control Systems with Admissible Parameter Uncertainties

  • Ji, Kun;Kim, Won-Jong
    • International Journal of Control, Automation, and Systems
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    • v.5 no.4
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    • pp.372-378
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    • 2007
  • This paper discusses Robust $H{\infty}$ control problems for networked control systems (NCSs) with time delays and subject to norm-bounded parameter uncertainties. Based on a new discrete-time model, two approaches of robust controller design are proposed. A numerical example and experimental verification with an NCS test bed are given to illustrate the feasibility and effectiveness of proposed design methodologies.

A study on approach of localization problem using landmarks (Landmark를 이용한 localization 문제 접근에 관한 연구)

  • 김태우;이쾌희
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.44-47
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    • 1997
  • Building a reliable mobile robot - one that can navigate without failures for long periods of time - requires that the uncertainty which results from control and sensing is bounded. This paper proposes a new mobile robot localization method using artificial landmarks. For a mobile robot localization, the proposed method uses a camera calibration(only extrinsic parameters). We use the FANUC arc mate to estimate the posture error, and the result shows that the position error is less than 1 cm and the orientation error less than 1 degrees.

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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.

Adaptive Robust Control for 2 Aaxis Direct Drive SCARA Robots (2축 직접 구동 SCARA 로봇에 대한 적응 견실제어)

  • 이지형;강철구
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.642-647
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    • 1993
  • In general, systems contain uncertain elements in the real world; these may be parameters, constant or varying, that are unknown or imperfectly known. When the uncertainty is assumed to satisfy the matching condition and to be cone-bounded, Y.H. Chen[81 proposed an adaptive robust control algorithm which introduced adaptive scheme for a design parameter into robust deterministic controls. In this paper, the above control algorithm is applied to the position tracking control of 2 DOF direct drive SCARA robots, and simulation and experimental studies are conducted to verify the control algorithm and to evaluate control performance.

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Adaptive Control of Uncertain Systems without Knowing Perfect Uncertainty Bounds (불확실한 시스템의 적응제어)

  • Kim, Hong-Seok;Choi, Chong-Ho
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.57-61
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    • 1989
  • An adaptive control scheme is presented for uncertain systems whose uncertaintiy bounds are expressed as a linear combination of unknown functions of special form. Both the states and the parameter estimate errors of the closed-loop system are proven to be bounded. The regulation errors can be made sufficiently small by adjusting the design parameters. An application of the proposed method to the position control of a simple pendulum is given.

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A decentralized adaptive model following control scheme for a class of interconnected continuous system (일련의 상호연결된 연속시간 시스템의 비집중 적응 모델 추종 제어 방식)

  • Kim, Byung-Yeun;Lyou, Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.1068-1072
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    • 1991
  • This paper presents a decentralized model reference adaptive control scheme for an interconnected continuous linear system composed of a number of single-input single-output subsystems in which outgoing interactions pass through the measurement channel and are subject to bounded external disturbance. The scheme can treat the unknown strength of interactions as well as the uncertainty of subsystems.

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