• 제목/요약/키워드: quadratic regulator

검색결과 153건 처리시간 0.042초

입사각제어를 위한 통합유도조종법칙 (Integrated Guidance and Control Law with Impact Angle Constraint)

  • 윤중섭;박우성;유창경
    • 한국항공우주학회지
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    • 제39권6호
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    • pp.505-516
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    • 2011
  • 통합유도조종(IGC, Integrated Guidance and Control)은 기존의 분리형 유도조종루프의 성능한계를 극복하기 위해 제안된 개념이다. 본 논문에서는 입사각제어가 가능한 새로운 형태의 IGC 기법을 제안하였다. 제안된 IGC는 자동조종성능과 유도성능을 동시에 얻기 위해 받음각, 피치각속도, 피치각, 시선각을 상태변수로 고려한다. 제안된 IGC의 제어특성을 고찰하기 위하여 비선형 상태방정식에 대한 가제어성 해석 및 평형점 해석을 수행 하였다. IGC 모델에 대한 제어기법으로는 LQR(Linear Quadratic Regulator)을 사용하였으며 LQR을 IGC에 적용하기 위한 방법을 상세하게 설명하였다. 수치 시뮬레이션을 통해 분리형 유도조종루프와 IGC의 성능을 비교하였다. 성능 비교 결과 IGC는 급격한 기동이 필요한 유도기하에 대하여 분리형 유도조종루프에 비해 우수한 유도성능을 보임을 확인하였다.

유상하중의 불확실성을 고려한 쿼드로터의 모델 참조 적응제어 기법 설계 (Model Reference Adaptive Control of a Quadrotor Considering the Uncertainty of Payload)

  • 이동우;김남수;장광우;이성헌;방효충
    • 한국항공우주학회지
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    • 제49권9호
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    • pp.749-757
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    • 2021
  • 쿼드로터를 활용한 운송 임무에서 임의의 유상하중을 장착하게 되면 질량, 관성모멘트, 무게중심의 위치와 같은 모델 파라미터가 변화하게 된다. 더욱이 유상하중이 기체에 장착되는 위치가 기체의 무게중심과 일치하지 않는 경우 무게중심의 변화는 야기되며 이는 제어 성능에 악영향을 미치게 된다. 이에 본 논문에서는 유상하중에 따른 모델의 불확실성을 보상하기 위하여, 선형 제차 조정기(Linear Quadratic Regulator, LQR) 기반의 모델 참조 적응 제어기법(Model Reference Adaptive Control, MRAC)을 제안한다. 먼저 고정된 유상하중을 고려한 쿼드로터의 동역학 모델을 유도하고, 선형 제차 조정기를 이용하여 기준제어기를 선정한다. 참조 모델은 과도응답을 향상하기 위해 폐루프 참조 모델을 사용하였으며, 선형 제차 조정기를 통하여 선정하였다. 또한, 안정성 분석을 통하여 모델 파라미터를 추정하기 위한 적응 제어기법을 설계하였다. 제안하는 제어기의 성능을 확인하기 위하여 모델 파라미터의 불확실성이 존재하는 상황에서 선형 재차 조정기와 성능을 비교하였다. 그리고 외란이 있는 상황에서 기존의 모델 참조 적응 제어기법과도 제안한 제어기의 결과를 비교하여 과도응답과 강건성에 대해서도 분석하였다.

Design of nonlinear optimal regulators using lower dimensional riemannian geometric models

  • Izawa, Yoshiaki;Hakomori, Kyojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.628-633
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    • 1994
  • A new Riemannian geometric model for the controlled plant is proposed by imbedding the control vector space in the state space, so as to reduce the dimension of the model. This geometric model is derived by replacing the orthogonal straight coordinate axes on the state space of a linear system with the curvilinear coordinate axes. Therefore the integral manifold of the geometric model becomes homeomorphic to that of fictitious linear system. For the lower dimensional Riemannian geometric model, a nonlinear optimal regulator with a quadratic form performance index which contains the Riemannian metric tensor is designed. Since the integral manifold of the nonlinear regulator is determined to be homeomorphic to that of the linear regulator, it is expected that the basic properties of the linear regulator such as feedback structure, stability and robustness are to be reflected in those of the nonlinear regulator. To apply the above regulator theory to a real nonlinear plant, it is discussed how to distort the curvilinear coordinate axes on which a nonlinear plant behaves as a linear system. Consequently, a partial differential equation with respect to the homeomorphism is derived. Finally, the computational algorithm for the nonlinear optimal regulator is discussed and a numerical example is shown.

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Extension and Simplification of Inverse LQ Regulator of Large Scale Systems by Decentralized Control

  • Kubo, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.26-30
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    • 2005
  • An LMI based method to construct a decentralized control law for large scale systems is discussed. It is extended to assure the stability not only of the overall system but also of each subsystem without interconnection. Then, it is simplified to have local feedback loops only for some selected subsystems.

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LQ Regulator of Systems with Multiple Time-Delays by Memoryless Feedback

  • Kubo, Tomohiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.373-378
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    • 1998
  • A method to construct a memoryless feedback law for systems with multiple time-delays in the states is proposed. As a plant model, a differential-difference equation with multiple delayed terms is introduced, A stabilizability condition by memoryless feedback is presented. A feedback gain is calculated with a solution of a finite dimensional Riccati equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. An alternative stabilizability condition which is easier to check is given.

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자기베어링에 대한 다변수 제어계 설계 (Multivariable Control System Design for Magnetic Bearing)

  • 정광교;양주호;김창화
    • 동력기계공학회지
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    • 제15권1호
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    • pp.78-85
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    • 2011
  • In order to design the control system of the magnetic bearing for the high speed 3 phase induction motor, the mathematical modeling was conducted and LQ regulator system was designed. When the plant is controllable and detectable, the nominal stability of LQ regulator could be guaranteed. However, LQ regulator doesn't ensure the robustness of stability and performance for the real system because LQ control is the mathematical optimal theory. In this paper to ensure the robustness of stability and performance for the real system, the control systems are designed by the simulation to the variation system parameters and this method was confirmed as an effective means.

Plasma control Using a Linear Quadratic Regulated RF Impedance Match Process

  • Kim, Byung-Whan;Park, Jang-Hyun;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.31.2-31
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    • 2001
  • A real-time control strategy is presented for plasma control Rather than in-situ plasma variables, this is based on realtime measurements of two electrical positions that correspond to two match motors. Using the rf match monitor system, the positions were collected. The process of impedance matching was identified with variations in process factors, including rf power, pressure, and O$_2$ flow rate. A state-space model was obtained basing on autoregressive moving average model. For this model, a linear quadratic regulator was designed and applied. Simulation results revealed that match positions could accurately be regulated to follow certain positions arbitrarily chosen.

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THE RECURSIVE ALGOFITHM FOR OPTIMAL REGULATOR OF NONSTANCARD SINGULARLY PERTURVED SYSTEMS

  • Mukaidani, Hiroaki;Xu, Hau;Mizukami, Koichi
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1995년도 Proceedings of the Korea Automation Control Conference, 10th (KACC); Seoul, Korea; 23-25 Oct. 1995
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    • pp.10-13
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    • 1995
  • This paper considers the linear-quadratic optimal regulator problem for nonstandard singularly perturbed systems making use of the recursive technique. We first derive a generalized Riccati differential equation by the Hamilton-Jacobi equation. In order to obtain the feedback gain, we must solve the generalized algebraic Riccati equation. Using the recursive technique, we show that the solution of the generalized algebraic Riccati equation converges with the rate of convergence of O(.epsilon.). The existence of a bounded solution of error term can be proved by the implicit function theorem. It is enough to show that the corresponding Jacobian matrix is nonsingular at .epsilon. = 0. As a result, the solution of optimal regulator problem for nonstandard singularly perturbed systems can be obtained with an accuracy of O(.epsilon.$^{k}$ ). The proposed technique represents a significant improvement since the existing method for the standard singularly perturbed systems can not be applied to the nonstandard singularly perturbed systems.

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

  • 이정문
    • 산업기술연구
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    • 제10권
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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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