• 제목/요약/키워드: Matrix uncertainty

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Delay-dependent Guaranteed Cost Control for Uncertain Time Delay System

  • Lee, In-Beum;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.62.4-62
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    • 2001
  • In this paper, we propose a delay-dependent guaranteed cost controller design method for uncertain linear systems with time delay. The uncertainty is norm bounded and time-varying. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, sufficient condition, which guarantees that the closed-loop system is asymptotically stable and the upper bound value of the closed-loop cost function is not more than a specied one, is derived in terms of Linear Matrix Inequalities(LMIs) that can be solved sufficiently. A convex optimization problem can be formulated to design a guaranteed cost controller, which minimizes the upper bound value of the cost function. Numerical examples show the activeness of the proposed method.

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평면 FRAME구조물의 확률 유한 요소 해석 (Probabilistic finite Element Analysis of Plane Frame)

  • 양영순;김지호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1989년도 가을 학술발표회 논문집
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    • pp.40-45
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    • 1989
  • In order to take account of the statistical properties of random variables used in the structural analysis, the conventional approach usually adopts the safety factor based on past experiences for the qualitative assessment of structural safety problem. Recently, new approach based on the probabilistic concept has been applied to the assessment of structural safety in order to circumvent the difficulties of the conventional approach in choosing the appropriate safety factor. Thus, computer program called "Probabilistic finite element method" is developed by incorporation the probabilistic concept into the conventional matrix method in order to investigate the effects of the random variables on the final output of the structural analysis. From the comparison of some examples, it can be concluded that the PFEM developed in this study deals with consistently with the uncertainty of random variables and provides the rational tool for the assessment of structural safety of plane frame.

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H 기반 틸트로터 항공기 횡방향 SCAS 설계 (Design of Lateral SCAS based on H for Tilt Rotor Aircraft)

  • 이장호;유창선
    • 항공우주시스템공학회지
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    • 제2권3호
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    • pp.1-6
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    • 2008
  • The tilt rotor aircraft has the flight characteristics which takes off vertically like a helicopter and flies forward like an airplane. Especially, the transition process from a helicopter to an airplane mode requires not only the mixing of control inputs but also the stability and controllability augmentation system(SCAS) in order to keep the safe flight because there are compound flight dynamic characteristics of a helicopter and an airplane including non-linearity, uncertainty. This paper describes the design of SCAS in a lateral motion for the tilt rotor aircraft based on the $H_{\infty}$ control method, which was performed from mathematical model with weighting matrix based on the relationship between the $H_{\infty}$ norm and the sensitivity function. Through simulation analysis for the controller designed on the $H_{\infty}$ control theory, it was shown that this method may be applied to the control design of the tilt rotor aircraft.

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구조화된 불확실성과 상태와 입력에 시간지연이 있는 시스템을 위한 강인 $H_{\infty}$ 제어기 (Robust $H_{\infty}$ Controller for State and Input Delayed Systems with Structured Uncertainties)

  • 이준화;문영수;권욱현
    • 제어로봇시스템학회논문지
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    • 제3권4호
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    • pp.338-342
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    • 1997
  • 본 논문에서는 상태와 입력에 시간지연과 구조화된 불확실성이 있는 시스템을 위한 강인 H/sub .inf./ 제어기를 제안한다. 제안된 제안기는 시간지연의 크기에 관계없이 항상 불확실한 시스템을 안정화시키고, 또한 제한된 크기의 어떤 구조화된 불확실성에 대해서도 항상 폐루프 전달함수의 H/sub .inf./ 노옴의 크기를 주어진 레벨 이하로 줄인다. 제어기는 볼록 최적화 알고리즘을 이용한 LMI 문제를 풀어서 구한다.

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이산 시변 상태공간 모델을 위한 최적 유한 임펄스 응답 필터 (An Optimal FIR Filter for Discrete Time-varying State Space Models)

  • 권보규
    • 제어로봇시스템학회논문지
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    • 제17권12호
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    • pp.1183-1187
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    • 2011
  • In this paper, an optimal FIR (Finite-Impulse-Response) filter is proposed for discrete time-varying state-space models. The proposed filter estimates the current state using measured output samples on the recent time horizon so that the variance of the estimation error is minimized. It is designed to be linear, unbiased, with an FIR structure, and is independent of any state information. Due to its FIR structure, the proposed filter is believed to be robust for modeling uncertainty or numerical errors than other IIR filters, such as the Kalman filter. For a general system with system and measurement noise, the proposed filter is derived without any artificial assumptions such as the nonsingular assumption of the system matrix A and any infinite covariance of the initial state. A numerical example show that the proposed FIR filter has better performance than the Kalman filter based on the IIR (Infinite- Impulse-Response) structure when modeling uncertainties exist.

입력 제한 조건을 고려한 불확실성 시스템의 출력 귀환 LPV 제어 (Output-feedback LPV Control for Uncertain Systems with Input Saturation)

  • 김성현
    • 제어로봇시스템학회논문지
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    • 제19권6호
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    • pp.489-494
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    • 2013
  • This paper tackles the problem of designing a dynamic output-feedback control for linear discrete-time norm-bounded uncertain systems with input saturation. By employing a LPV (Linear Parameter Varying) instead of LTI (Linear Time-Invariant) control, the useful information on interpolation parameters appearing in the procedure of representing saturation nonlinearity as a convex polytope is additionally applied in the control design procedure. By solving the addressed problem that can be recast into a convex optimization problem characterized by LMIs (Linear Matrix Inequalities) with one prescribed scalar, the vertices of convex set containing an LPV output-feedback control gain and the associated maximal invariant set of initial states are simultaneously obtained.

이산시간 불확실 특이시스템의 저차 강인 피동성 필터링 (Robust Passive Low-order Filtering for Discrete-time Uncertain Descriptor Systems)

  • 김종해;오도창
    • 전기학회논문지
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    • 제61권3호
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    • pp.466-471
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    • 2012
  • In this paper, we consider the problem of a robust passive filtering with low-order for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for robust passivity with a dissipativity of discrete-time uncertain singular systems is derived. A low-order robust passive filter design method is proposed by new reduced-order method and LMI(linear matrix inequality) technique on the basis of the obtained BRL. Finally, illustrative examples are presented to show the applicability of the proposed method.

상태와 입력에 구간 시변 시간지연을 가지는 불확실 이산시간 특이시스템의 지연 종속 강인 $H_{\infty}$ 제어 (Delay-dependent Robust $H_{\infty}$ Control for Uncertain Discrete-time Descriptor Systems with Interval Time-varying Delays in State and Control Input)

  • 김종해
    • 전기학회논문지
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    • 제58권1호
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    • pp.193-198
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    • 2009
  • In this paper, we consider the design problem of delay-dependent robust $H{\infty}$ controller of discrete-time descriptor systems with parameter uncertainties and interval time-varying delays in state and control input by delay-dependent LMI (linear matrix inequality) technique. A new delay-dependent bounded real lemma for discrete-time descriptor systems with time-varying delays is derived. The condition for the existence of robust $H{\infty}$ controller and the robust $H{\infty}$ state feedback control law are proposed by LMI approach. A numerical example is demonstrated to show the validity of the design method.

Takagi-Sugeno Fuzzy Model-Based Approach to Robust Control of Boost DC-DC Converters

  • Seo, Sang-Wha;Choi, Han Ho;Kim, Yong
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.925-934
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    • 2015
  • This paper considers the robust controller design problem for a boost DC-DC converter. Based on the Takagi-Sugeno fuzzy model-based approach, a fuzzy controller as well as a fuzzy load conductance observer are designed. Sufficient conditions for the existence of the controller and the observer are derived using Linear Matrix Inequalities (LMIs). LMI parameterizations of the gain matrices are obtained. Additionally, LMI conditions for the existence of the fuzzy controller and the fuzzy load observer guaranteeing α-stability, quadratic performance are derived. The exponential stability of the augmented fuzzy observer-controller system is shown. It is also shown that the fuzzy load observer and the fuzzy controller can be designed independently. Finally, the effectiveness of the proposed method is verified via experimental and simulation results under various conditions.

Risk Based Decision Support for Final Closing Section of a Sea Dike

  • Jee, Sung Hyun;Kang, Seong Hae;Kim, Jeong Hwan;Seo, Jong Won
    • Journal of Construction Engineering and Project Management
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    • 제3권2호
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    • pp.49-57
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    • 2013
  • A sea dike construction has been increased in Korea because of the actively deployed reclamation project in basis of efficient application in land. The degree of completion in sea dike construction is affected by final closing construction, which has a lot of uncertainty that often results in higher accidents rate. Therefore, this research identified risk factors of final closing construction and classified them. This research examines the likelihood and its impact for each risk factor and calculates the risk degree as to the risk matrix. Based on this, the impact and the environmental conditions that affect to risk factors are investigated and further responsive methods are established for each risk factor. Ultimately, this research attempts to provide the risk retrenchment method for inspectors by proposing risk estimation model, responsive action list, and risk management process.