• Title/Summary/Keyword: parameter uncertainties

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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.

Mixed $H^2/H^\infty$ Controller Design with Regional Pole Placements for Underwater Vehicle (수중운동체의 극점 배치를 갖는 혼합 $H^2/H^\infty$ 제어기 설계)

  • 조용철;김종해박홍배
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.219-222
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    • 1998
  • This paper presents the Mixed H2/H$\infty$ controller design method with the regional pole placements for underwater vehicle. Since the small and light underwater vehicle is sensitive to disturbances and parameter uncertainties, we design the controller which guarantees robustness against time-delays, parameter uncertainties and disturbances. The LMI(linear matrix inequality) formulations for pole placements in specific regions and H2 and H$\infty$ performances are reviewed. The desired controller can be obtained by solving these LMIs.

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$H^{\infty}$ robust adaptive controller design with parameter uncertainty, unmodeled dynamic and bounded noise (파라미터 불확실성,모델 불확실성,한계 잡음에 대한 $H^{\infty}$ 적응제어기 설계)

  • Baek, Nam-Seok;Yang, Won-Young
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.454-456
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    • 1998
  • Traditional adaptive control algorithms are not robust to dynamic uncertainties. The adaptive control algorithms developed previously to deal with dynamic uncertainties do not facilitate quantitative design. We proposed a new robust adaptive control algorithms consists of an $H^{\infty}$ suboptimal control law and a robust parameter estimator. Numerical examples showing the effectiveness of the $H^{\infty}$ adaptive scheme are provided.

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Robustness Analysis of Closed-Loop Poles Located in a Polygonal Region (다각형 영역에 놓인 패루프 극점의 결실성 해석)

  • Jung Moon Lee
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.10
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    • pp.46-52
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    • 1992
  • This paper considers uncertain systems with closed-loop poles in a polygonal region. A method is presented which is applicable to computing the perturbation of a pole-located region due to parameter uncertainties. A method is also proposed to calculate the bound on parameter uncertainties which allow the closed-loop poles to remain in a specified region. They provide useful robustness measures on the closed-loop poles of uncertain systems.

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Robustness Analysis of Closed-Loop Poles (페루프 극점의 견실성 해석)

  • Lee, Jung-Moon;Nam, Boo-Hee
    • Journal of Industrial Technology
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    • v.11
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    • pp.107-114
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    • 1991
  • This paper deals with the robustness of closed-loop poles of a linear time-invariant system with uncertain parameters. A new method is presented to calculate the perturbation of a pole-located region due to parameter uncertainties. A method to calculate allowable bounds on parameter uncertainties is also presented to retain closed-loop poles in a specified region. Based on Lyapunov equations and norm operations, they provide useful measures on the robustness of closed-loop poles. An example is given to illustrate proposed methods.

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Reliability sensitivities with fuzzy random uncertainties using genetic algorithm

  • Jafaria, Parinaz;Jahani, Ehsan
    • Structural Engineering and Mechanics
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    • v.60 no.3
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    • pp.413-431
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    • 2016
  • A sensitivity analysis estimates the effect of the change in the uncertain variable parameter on the probability of the structural failure. A novel fuzzy random reliability sensitivity measure of the failure probability is proposed to consider the effect of the epistemic and aleatory uncertainties. The uncertainties of the engineering variables are modeled as fuzzy random variables. Fuzzy quantities are treated using the ${\lambda}$-cut approach. In fact, the fuzzy variables are transformed into the interval variables using the ${\lambda}$-cut approach. Genetic approach considers different possible combinations within the search domain (${\lambda}$-cut) and calculates the parameter sensitivities for each of the combinations.

Power System Sensitivity Analysis for Probabilistic Small Signal Stability Assessment in a Deregulated Environment

  • Dong Zhao Yang;Pang Chee Khiang;Zhang Pei
    • International Journal of Control, Automation, and Systems
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    • v.3 no.spc2
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    • pp.355-362
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    • 2005
  • Deregulations and market practices in power industry have brought great challenges to the system planning area. In particular, they introduce a variety of uncertainties to system planning. New techniques are required to cope with such uncertainties. As a promising approach, probabilistic methods are attracting more and more attentions by system planners. In small signal stability analysis, generation control parameters play an important role in determining the stability margin. The objective of this paper is to investigate power system state matrix sensitivity characteristics with respect to system parameter uncertainties with analytical and numerical approaches and to identify those parameters have great impact on system eigenvalues, therefore, the system stability properties. Those identified parameter variations need to be investigated with priority. The results can be used to help Regional Transmission Organizations (RTOs) and Independent System Operators (ISOs) perform planning studies under the open access environment.

Design of Incoming Ballistic Missile Tracking Systems Using Extended Robust Kalman Filter (확장 강인 칼만 필터를 이용한 접근 탄도 미사일 추적 시스템 설계)

  • 이현석;나원상;진승희;윤태성;박진배
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.188-188
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    • 2000
  • The most important problem in target tracking can be said to be modeling the tracking system correctly. Although the simple linear dynamic equation for this model has used until now, the satisfactory performance could not be obtained owing to uncertainties of the real systems in the case of designing the filters baged on the dynamic equations. In this paper, we propose the extended robust Kalman filter (ERKF) which can be applied to the real target tracking system with the parameter uncertainties. A nonlinear dynamic equation with parameter uncertainties is used to express the uncertain system model mathematically, and a measurement equation is represented by a nonlinear equation to show data from the radar in a Cartesian coordinate frame. To solve the robust nonlinear filtering problem, we derive the extended robust Kalman filter equation using the Krein space approach and sum quadratic constraint. We show the proposed filter has better performance than the existing extended Kalman filter (EKF) via 3-dimensional target tracking example.

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Sliding Mode Control for an Active Magnetic Bearing System (능동자기베어링계를 위한 슬라이딩모드 제어)

  • Kang, Min-Sig
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.12
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    • pp.82-88
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    • 2008
  • This paper describes an application of sliding mode control to an active magnetic bearing(AMB) system. A sliding mode control is robust to model uncertainties and external disturbances. To ensure the authority of sliding mode control, model parameter uncertainties caused from linearization of electro-magnetic attractive force are analyzed and a domain of parameter uncertainties in which reachability to sliding surface is guaranteed is derived. The validity of the analysis is illustrated along with some simulation examples.

Design of a Continuous Adaptive Robust Control Estimating the Upper Bound of the Uncertainties using Fredholm Integral Formulae (Fredholm 적분식을 이용하여 불확실성의 경계치를 추정하는 적응강인제어기 설계)

  • 유동상
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.4
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    • pp.207-211
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    • 2004
  • We consider a class of uncertain nonlinear systems containing the uncertainties without a priori information except that they are bounded. For such systems, we assume that the upper bound of the uncertainties is represented as a Fredholm integral equation of the first kind and we propose an adaptation law that is capable of estimating the upper bound. Using this adaptive upper bound, a continuous robust control which renders uncertain nonlinear systems uniformly ultimately bounded is designed.