• Title/Summary/Keyword: LQ problem

검색결과 71건 처리시간 0.027초

무인기를 위한 최적 경로점 유도 (Optimal Waypoint Guidance for Unmanned Aerial Vehicles (UAVs))

  • 유창경;신효상;탁민제
    • 제어로봇시스템학회논문지
    • /
    • 제11권3호
    • /
    • pp.240-245
    • /
    • 2005
  • In this paper, planar waypoint guidance synthesis for UAVs using the LQ optimal impact-angle-control guidance law is proposed. We prove that the energy-optimal control problem with the constraint of passing through the waypoints is equivalent to the problem of finding the optimal pass angles on each waypoint of the optimal impact-angle-control law. The optimal pass angles can be obtained as a numerical solution of the simple pass angle optimization problem that requires neither input parameterization nor constraints. The trajectory obtained by applying the optimal impact-angle-control law with these optimal pass angles becomes energy optimal.

집중지표 기법을 활용한 수도권 주거지 분리에 대한 실증적 접근 (Exploring Residential Segregation through Spatial Concentration Index - as a case of Seoul Metropolitan Area -)

  • 봉인식;최혜진
    • 지역연구
    • /
    • 제32권3호
    • /
    • pp.17-27
    • /
    • 2016
  • 본 연구는 주거지 분리를 진단하고 모니터링 할 수 있는 수단으로 집중지표 기법과 특화계수를 제시하고, 부동산 거래관리 시스템(RTMS) 자료를 이용하여 수도권 79개 시군구의 임대료 수준별(상, 중상, 중, 중하, 하) 주거지 분리정도를 살펴보았다. 분석 결과, 임대료가 낮은 집단이 밀집한 지역은 수도권 외곽의 농촌지역 및 도농복합지역뿐 아니라 부천시, 수원시 등에서도 목격되었다. 경기도는 가장 다양한 집중도 유형이 나타났고, 서울시와 인천시에서는 각각 임대료가 매우 낮거나 높은 집단이 밀집한 지역을 발견하기 어려웠다. 집중도의 변화는 27개 지역에서 나타났고, 기존 집단보다 임대료 수준이 낮은 집단의 유입이 증가하는 하향 변화는 13개, 그 반대인 상향 변화는 14개 지역에서 나타났다. 특히 경기도 부천시 소사구는 하향 변화가, 수원시 영통구 등에서는 상향 변화가 크게 나타났다. 결론적으로 수도권 지역은 하 집단의 집중이 줄어들며 다양화 지역 비율이 높아졌지만 상 집단과 하 집단이 특정 지역에 집중되는 현상이 심화되고 있었다. 이는 임대료 집단별 특화계수를 통해서도 계량적으로 확인할 수 있었다. 방법론적으로 특화계수는 집중지표의 설명력을 강화해 줄 수 있다고 판단되며, 향후 특화계수 외 다른 정량적 방법과의 연계에 대한 지속적인 연구가 필요하다고 사료된다.

가변경계조건을 갖는 새로운 칼만필터 및 레규레이터 구성 (Linear-Quadratic-Gaussian Regulators with Moving Horizons)

  • 권욱현;박기현
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1979년도 하계 전자.전기연합학술발표회논문집
    • /
    • pp.80-82
    • /
    • 1979
  • While the standard linear-quadratic-Gaussian problem has fixed horizons, this paper considers the LQG problem with moving horizons. By the separation principle the solution will be given by the kalman filter with the approaching horizon and the LQ regulator with the receding horizon. Sufficient conditions on weighting matrices are derived under which the filter and regulator are asymptotically stable. It wall be shown that the computation method of the moving-horizon LQG regulators is better than that of the standard LQG regulator. The performance measure between the two optimal controls will be compared. A simulation result is given in order to show the usefulness of the moving-horizon LQG regulator.s

  • PDF

다기 전력 시스템의 안정화를 위한 탐색화된 정책 반복법 기반 적응형 강인 제어기 설계 (Design of an Adaptive Robust Controller Based on Explorized Policy Iteration for the Stabilization of Multimachine Power Systems)

  • 전태윤;박진배
    • 제어로봇시스템학회논문지
    • /
    • 제20권11호
    • /
    • pp.1118-1124
    • /
    • 2014
  • This paper proposes a novel controller design scheme for multimachine power systems based on the explorized policy iteration. Power systems have several uncertainties on system dynamics due to the various effects of interconnections between generators. To solve this problem, the proposed method solves the LQR (Linear Quadratic Regulation) problem of isolated subsystems without the knowledge of a system matrix and the interconnection parameters of multimachine power systems. By selecting the proper performance indices, it guarantees the stability and convergence of the LQ optimal control. To implement the proposed scheme, the least squares based online method is also investigated in terms of PE (Persistency of Excitation), interconnection parameters and exploration signals. Finally, the performance and effectiveness of the proposed algorithm are demonstrated by numerical simulations of three-machine power systems with governor controllers.

누적방지 무충돌전환을 위한 새로운 통합형 기법 (A New Unified Method for Anti-windup and Bumpless Transfer)

  • 김태신;권오규
    • 제어로봇시스템학회논문지
    • /
    • 제15권7호
    • /
    • pp.655-660
    • /
    • 2009
  • In many real applications, the discrepancy problem between controller outputs and plant inputs or the abrupt variation problem of controller outputs can occur. These problems have a negative effect on control performance and stability. It is well-known that two phenomena called 'windup' and 'bump' cause these problems. So far these problems have been studied separately in each side of the anti-windup and the bumpless transfer. This paper proposes a new unified method combines the anti-windup and the bumpless transfer method using the linear quadratic minimization and a proper state space model representation for the anti-windup controller. The proposed method has a feature that it takes account of both the anti-windup and the bumpless transfer in one formula. Finally, we exemplify the performance of the proposed method via numerical examples using the controller switching between the anti-windup PID controller and the anti-windup LQ controller.

전력계토 안정화 제어를 위한 신경회로만 분산체어기의 구성에 관한 연구 (A Study on the Feedforward Neural Network Based Decentralized Controller for the Power System Stabilization)

  • 최면송;박영문
    • 대한전기학회논문지
    • /
    • 제43권4호
    • /
    • pp.543-552
    • /
    • 1994
  • This paper presents a decentralized quadratic regulation architecture with feedforward neural networks for the control problem of complex systems. In this method, the decentralized technique was used to treat several simple subsystems instead of a full complex system in order to reduce training time of neural networks, and the neural networks' nonlinear mapping ability is exploited to handle the nonlinear interaction variables between subsystems. The decentralized regulating architecture is composed of local neuro-controllers, local neuro-identifiers and an overall interaction neuro-identifier. With the interaction neuro-identifier that catches interaction characteristics, a local neuro-identifier is trained to simulate a subsystem dynamics. A local neuro-controller is trained to learn how to control the subsystem by using generalized Backprogation Through Time(BTT) algorithm. The proposed neural network based decentralized regulating scheme is applied in the power System Stabilization(PSS) control problem for an imterconnected power system, and compared with that by a conventional centralized LQ regulator for the power system.

The design method research of the control system for Autonomous Underwater Vehicle (AUV) using Linear Matrix Inequality (LMI)

  • Nasuno, Youhei;Shimizu, Etsuro;Aoki, Taro;Yomamoto, Ikuo;Hyakudome, Tadahiro;Tsukioka, Satoshi;Yoshida, Hiroshi;Ishibashi, Shojiro;Ito, Masanori;Sasamoto, Ryoko
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2005년도 ICCAS
    • /
    • pp.1060-1065
    • /
    • 2005
  • An Independent Administrative Corporation Japan Agency for Marine-Earth Science and Technology (JAMSTEC) is developing light-and-small Autonomous Underwater Vehicles (AUV)$^{1)}$, named 'MR-X1' (Marine Robot Experimental 1), which can cruise, investigate and observe by itself without human's help. In this paper, we consider the motion control problem of 'MR-X1' and derive a controller. Since the dynamic property of 'MR-X1' is changed by the influence of the speed, the mathematical model of 'MR-X1' becomes the nonlinear model. In order to design a controller for 'MR-X1', we generally apply nonlinear control theories or linear control theories with some constant speed situation. If we design a controller by applying Linear Quadratic (LQ) optimal control theory, the obtained controller only compensates t e optimality at the designed speed situation, and does not compensate the stability at another speed situations. This paper proposes a controller design method using Linear Matrix Inequalities (LMIs)$^{2),3),4)}$, which can adapt the speed variation of 'MR-X1'. And examples of numerical analysis using our designed controller are shown.

  • PDF

포화입력을 가지는 시간지연 비선형 시스템의 퍼지 H2/H 제어기 설계 (Fuzzy H2/H Controller Design for Delayed Nonlinear Systems with Saturating Input)

  • 조희수;이갑래;박홍배
    • 한국지능시스템학회논문지
    • /
    • 제12권3호
    • /
    • pp.239-245
    • /
    • 2002
  • 본 논문에서는 입력에 제한이 있는 시간지연 비선형 시스템에 대한 퍼지 $H_2/H_{\infty}$ 제어기 설계 방법을 제시한다. 포화입력을 갖는 시간지연 비선형 시스템을 시간지연과 포화입력을 갖는 Takagi-Sugeno 퍼지 모델로 표현하고 병렬분산보상(PDC)의 개념을 이용하여 제어기를 설계한다. Lyapunov 함수를 이용하여 시간지연과 포화입력을 갖는 $H_2/H_{\infty}$ 퍼지모델에 대한 폐루프 시스템의 안정성 조건과 LQ 성능을 최소화하는 조건을 유도하고, 퍼지 $H_2/H_{\infty}$ 제어기가 존재할 충분조건을 선형행렬부등식(LMI: liner matrix inequality)을 이용하여 구한다. 제어기는 선형행렬부등식의 해를 구하므로써 바로 구할 수 있으며, 설계된 퍼지 $H_2/H_{\infty}$ 제어기는 $H_{\infty}$ 노옴 한계값을 만족하면서 LQ성능의 상한값을 최소화한다. 마지막으로 포화압력으로 포화압력을 가지는 시간지연 비선형 시스템에 대해 퍼지 $H_2/H_{\infty}$ 제어기 설계 사례를 보인다.

연속 냉간 압연기의 다변수 $H_{\infty}$ 외란제거 제어 (Multivariable $H_{\infty}$ disturbance rejection control for tandem cold mills)

  • 김승수;김종식
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
    • /
    • pp.391-394
    • /
    • 1997
  • A H$_{\infty}$ control techniques with roll eccentricity filter is proposed to alleviate the effect of entry thickness variation and roll eccentricity occurred in rolling stand itself of tandem cold mills. A robust controller to the disturbances is designed using H$_{\infty}$ control techniques, which can reflect the input direction of disturbances and knowledge of disturbance spectrum in the frequency domain. And, non-standard H$_{\infty}$ control problem caused by selection of weight function having poles on j.omega. axis is discussed. The evaluation for the resultant controller composed by H$_{\infty}$ synthesis is done through computer simulations. The effectiveness of the proposed method is compared to those of the conventional LQ synthesis method and a feedforward controller against roll eccentricity, which was already studied.ied.

  • PDF

Control of Real-Time Systems with Random Time-Delays

  • Choi, Hyoun-Chul;Hong, Suk-Kyo
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2003년도 ICCAS
    • /
    • pp.348-353
    • /
    • 2003
  • This paper considers the optimal control problem in real-time control systems with random time-delays. It proposes an algorithm which uses the linear quadratic (LQ) control method and a dedicated technique to compensate for the time-delay effects. Since it is assumed that the time-delays are unknown but the probability distribution of the delays are known a priori, the algorithm considers the mean value of the time-delays as a nominal value for random delay compensation. An example is given to show the performance of the proposed algorithm, where an inverted pendulum system is controlled over a controller-area network (CAN). Simulation results show that the proposed algorithm provides good performance results. It is shown that our algorithm is comparable to existing algorithms in both computation cost and performance.

  • PDF