• 제목/요약/키워드: robust quadratic stabilization

검색결과 9건 처리시간 0.052초

상태 변환을 이용한 선형 시변 시스템에 대한 강건한 제어 (The robust control for a linear time-varying system using state transformation)

  • 조도현;이상효
    • 제어로봇시스템학회논문지
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    • 제4권1호
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    • pp.1-9
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    • 1998
  • This paper is focussed on the problem of robustly stabilizing a transformable linear time-varying system. The considered system is a class of state feedback transformable linear systems. First, the real linear time-varying system is transformed into the linear time invariant system composed with the time-invariant linear part and the time-varying uncertainty part. Second, the solution to a quadratic stabilization problem in the transformed linear system is give via' Lyapunov methods. Then this solution is used to construct a stabilizing linear control law for the real linear time-varying system.

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파라메타 불확실성을 갖는 선형시스템에 대한 강한 신뢰 $H_\infty$제어 (Robust and Reliable $H_\infty$ Control for Linear Systems with Parameter Uncertainty)

  • 서창준;김병국
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.498-503
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    • 1993
  • In this paper, a robust and reliable H$_{\infty}$ control problem is considered for linear uncertain systems with time-varying norm-bounded uncertainty in the state matrix, which performs well despite of actuator outages. Using linear static state feedback and the quadratic stabilization with H$_{\infty}$-norm bound, a robust and reliable H$_{\infty}$ controller is obtained that stabilizes the plant and guarantees an H$_{\infty}$-norm bound constraint on disturbance attenuation for all admissible uncertainties and normal state as well as faulty state of actuators. It provides a sufficient condition for robust and reliable stabilization with H$_{\infty}$-norm bound. Reliability is guaranteed provided actuator outages only occur within a prespecified subset of actuators.tors.

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불확실성이 있는 이산 시간 시스템의 강인 제어기 설계 (Robust stabilization of linear discrete time systems with uncertain dynamics)

  • 이재원;이준화;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 19-21 Oct. 1992
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    • pp.742-746
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    • 1992
  • This paper proposes a new linear robust state feedback controller for the linear discrete time systems which have uncertainties in the state and input matrices. The uncertainties need not satisfy the matching conditions, but only their bounds are needed to be known. The proposed controller is derived from the linear quadratic game problem, which solution is obtained via the modified algebraic Riccati equation. The controller guarantees the robust performance bound. The bound of the solution and the condition of the uncertainties, which can stabilize the uncertain system are explored.

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전력시스템 동요 억제를 위한 TCSC의 강인한 LQG/LTR 제어기 설계절차에 관한 연구 (Design Procedure of Robust LQG/LTR Controller of TCSC for Damping Power System Oscillations)

  • 손광명;이태기;전인수
    • 조명전기설비학회논문지
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    • 제16권6호
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    • pp.30-39
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    • 2002
  • 본 논문에서는 전력동요 억제를 위한 TCSC의 강인한 LQG/LTR (Linear Quadratic Gaussian with Loop Transfer Recovery) 제어기 설계에 관한 연구를 하였다. LQG/LTR 제어기를 설계할 때 성능을 극대화하기 위해서는 여러 단계의 파라미터 조정을 하여야 한다. 이에 본 논문에서는 다 변수 LQG/LTR 안정화 제어기 선계를 체계적으로 할 수 있는 방법을 제안하였다. 설계된 제어기를 실제의 비선형 전력시스템에 적용함으로써 전력동요억제 효과를 검증하였다.

시간지연을 가지는 비선형 불확실성 이산 시스템의 퍼지 견실 $H^{\infty}$ 제어기 설계 (Fuzzy Robust $H^{\infty}$ Controller Design for Discrete Uncertain Nonlinear Systems with Time Delays)

  • 이형호;조상현이갑래박홍배
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 하계종합학술대회논문집
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    • pp.227-230
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    • 1998
  • In this paper, we propose the design method of fuzzy robust H$\infty$ controller for the uncertain nonlinear discete-time systems with time delay. First, we represent a nonlinear plant with a modified T-S(Takagi-Sugeno) fuzzy model. Then design method utilizing the concept of PDC (parallel distributed compensation) is employed. For the modified T-S fuzzy model with uncertainty and delay, the sufficient condition of the quadratic stabilization with an H$\infty$ norm bound is presented in terms of Lyapunov stability theory and fuzzy robust H$\infty$ controller design method is given by LMI(linear matrix inequality) approach. Also an illustrative example is given to demonstrate the result of the proposed method.

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수상 및 수중 운동체의 강인 안정성 해석 및 안정화에 관한 연구 (A Study on the Robust Stability and Stabilization Problem for Marine Vessel)

  • 김영복;최광환
    • 한국항해항만학회지
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    • 제36권5호
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    • pp.379-385
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    • 2012
  • 본 논문에서는 수상 및 수중운동체의 안정성 및 안정화기법에 관해 고찰한다. 선박이 운동을 하게 되면 부가질량이 변하게 되고 대칭인 시스템행렬이 비대칭이 된다. 비대칭성에 따라 시스템의 안정성해석방법도 달라지는데 예를 들어 가속도 피드백을 통해 비대칭요소를 제거하여 대칭으로 변환시키는 것이 가장 대표적인 해석 및 안정화 기법이다. 시스템 모델자체는 어디까지나 모델이기 때문에 대상시스템을 명확하게 수식으로 표현할 수 없으므로 피드백에 의한 비대칭요소를 소거시키는 방법은 타당하지 못하다. 따라서 본 논문에서는 대칭행렬이 비대칭행렬로 변하는 제약에 구애받지 않는, 보다 일반성을 갖는 안정성해석법을 제안하였다. 그리고 시스템 안정성 조건을 행렬부등식으로 변환하여 나타내었다. 이것은 안정성 해석 및 안정화를 위한 제어이득을 효율적으로 계산할 수 있는 방법으로 다양한 제약조건에도 유연하게 대응할 수 있다. 시뮬레이션을 통해 제안한 기법의 유효성을 검증하였다.

A Simultaneous Perturbation Stochastic Approximation (SPSA)-Based Model Approximation and its Application for Power System Stabilizers

  • Ko, Hee-Sang;Lee, Kwang-Y.;Kim, Ho-Chan
    • International Journal of Control, Automation, and Systems
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    • 제6권4호
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    • pp.506-514
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    • 2008
  • This paper presents an intelligent model; named as free model, approach for a closed-loop system identification using input and output data and its application to design a power system stabilizer (PSS). The free model concept is introduced as an alternative intelligent system technique to design a controller for such dynamic system, which is complex, difficult to know, or unknown, with input and output data only, and it does not require the detail knowledge of mathematical model for the system. In the free model, the data used has incremental forms using backward difference operators. The parameters of the free model can be obtained by simultaneous perturbation stochastic approximation (SPSA) method. A linear transformation is introduced to convert the free model into a linear model so that a conventional linear controller design method can be applied. In this paper, the feasibility of the proposed method is demonstrated in a one-machine infinite bus power system. The linear quadratic regulator (LQR) method is applied to the free model to design a PSS for the system, and compared with the conventional PSS. The proposed SPSA-based LQR controller is robust in different loading conditions and system failures such as the outage of a major transmission line or a three phase to ground fault which causes the change of the system structure.

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
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    • 제20권11호
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    • pp.1118-1124
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    • 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.

최적 변조제어기를 이용한 컨테이너 크레인의 안정화에 관한연구 (A Study on Stabilization of Container Cranes Using an Optimal Modulation Controller)

  • 허동렬
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권5호
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    • pp.630-636
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    • 1999
  • In this paper in optimal modulation controller for position control and anti-sway of container crane systems is designed by a recursive algorithm that determines the state weighting matrix Q of a linear quadratic performance. The optimal modulation controller is based on optimal control. The basic feature of the recursive algorithm is the reduction of the number of iterations as well as minimization of the calculations involved So in order to obtain a mathematical model which rep-resents the equation of motion of the trolley and load Lagrange equation is used. The optimal modulation controller has been verified and simulated to show that it is robust when a load dis-turbance is applied and a reference is changed.

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