• Title/Summary/Keyword: bounded control

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Nonfragile Guaranteed Cost Controller Design for Uncertain Large-Scale Systems (섭동을 갖는 대규모 시스템의 비약성 성능보장 제어기 설계)

  • Park, Ju-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.11
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    • pp.503-509
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    • 2002
  • In this paper, the robust non-fragile guaranteed cost control problem is studied for a class of linear large-scale systems with uncertainties and a given quadratic cost functions. The uncertainty in the system is assumed to be norm-bounded and time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounded controller gain variations. The problem is to design a state feedback control laws such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties and controller gain variations. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the robust non-fragile guaranteed cost controllers is given in terms of the feasible solutions to a certain LMI. A numerical example is given to illustrate the proposed method.

The design of a robust controller for nonlinear systems with input saturation (입력한계를 갖는 비선형시스템을 위한 견실제어기의 설계)

  • Choi, Hyeung-Sik;Lee, Min-ho
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.108-115
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    • 1997
  • This paper presents a robust controller design for uncertain nonlinear systems with input saturation. In actual application, the robust controller may require a high input torque so that it faces input saturation due to power limitation of the system. The satruation problem may cause instability of the system. To improve this problem, a robust controller using a fuzzy logic control is proposed. The proposed controller keeps state errors bounded. To validate the proposed controller, an invert pendulum and its control system is set up. The experimental result shows bounded angular position errors under saturated input torques.

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Stabilizing Control of Discrete-Time Uncertain Systems (이산시간 불확정 시스템의 안정화 제어)

  • Lee, Jung-Moon
    • Journal of Industrial Technology
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    • v.10
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    • pp.3-8
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    • 1990
  • This paper presents a linear state feedback control approach to the stabilization of discrete-time uncertain systems with bounded uncertain parameters. The approach is based on the LQ(linear quadratic) regulator theory and Lyapunov's stability analysis. Asymptotically stable behavior is guaranteed in the presence of parameter uncertainties, and the upper bound of the performance index is determined.

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Optical Shutdown Control of Nuclear Reactor: A Numerical SSlution (원자로의 최적 운전정지 제어방법의 수치해)

  • 강영규;변증남
    • 전기의세계
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    • v.27 no.6
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    • pp.58-62
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    • 1978
  • The problem of optimal shutdown control of nuclear reactor having nonlinear dynamics is considered. Since the problem, being a bounded state space problem, is difficult to solve by conventional analytic methods such as Pontryagin's maximum principle, it is approached directly by the quasilinearization technique, and solved numerically. The solution obtained in this manner proves to be an improvement over the previous results.

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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.

Variable Structure Control for Discrete-time Nonlinear Systems

  • Han, So-Hee;Cho, Byung-Sun;Park, Kang-Bak
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1414-1417
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    • 2003
  • In this paper, sliding mode controller for discrete-time nonlinear systems with uncertainties and disturbances are proposed. The concept of time-delay control (TDC) which consists of estimating the uncertain dynamics of the system through past observations of the system response is used. The proposed controller guarantees that the closed-loop system states are globally uniformly ultimately bounded (GUUB). It is also shown that the closed-loop system states are globally uniformly asymptotically stable (GUAS) if uncertainties are constant.

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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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An Optimal Control Approach to Robust Control of Robot Manipulators (로봇 매니퓰레이터의 강인제어를 위한 최적제어로의 접근)

  • 김미경;강희준
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.455-458
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    • 2003
  • An optimal control approach to robust control design is proposed in this study for rigid robotic systems under the unknown load and the other uncertainties. The uncertainties are quadratically bounded for some positive definite matrix. Iterative method to find the matrix is shown. Simulations arc made for a weight-lifting operation of a two-link manipulator and the robust control performance of robotic systems by the proposed algorithm is remarkable.

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An Optimal Control Approach to Robust Control of Robot Manipulators (로봇 매니퓰레이터의 강인제어를 위한 최적제어로의 접근)

  • 김미경;강희준
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.12
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    • pp.176-182
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    • 2003
  • An optimal control approach to robust control design is proposed in this study for rigid robotic systems under the unknown load and the other uncertainties. The uncertainties are quadratically bounded for some positive definite matrix. Iterative method to find the matrix is shown. Simulations are made for a weight-lifting operation of a two-link manipulator and the robust control performance of robotic systems by the proposed algorithm is remarkable.

Decentralized Output Feedback Robust Passive Control for Linear Interconnected Uncertain Time-Delay Systems

  • Shim, Duk-Sum
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.2
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    • pp.140-146
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    • 2002
  • We consider a class of large-scale interconnected time delay systems and investigate a decentralized robust passive control problem. sufficient conditions for unforced interconnected uncertain systems with time delay to be robustly stable with extended strictly passivity is given in terms of algebraic Riccati inequality and linear matrix inequality. The decentralized robust passive control problem for norm-bounded and positive real uncertainty is shown to be converted to extended strictly positive real control problem for a modified system which contains neither time delay nor uncertainty.