• 제목/요약/키워드: Riccati Equation

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A robust generalized predictive controls

  • Kwon, Wook-Hyun;Noh, Seonbong
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.203-207
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    • 1992
  • In this paper, a new GPC(Generalized Predictive Control) algorithm which is robust to disturbances isproposed. This controller minimizes the LQ cost function when the disturbance maximizes this cost function. The solution is obtained from the min-max problem which can be solved by differential game theory and has the non-recursive form which does not use the Riccati equation. Its another solution for state space models is investigated.

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

  • 이재원;이준화;권욱현
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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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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Nonlinear $H_{\infty}$ control to semi-active suspension

  • Sampei, Mitsuji;Kubota, Kenta;Hosokawa, Atsukuni;Laosuwan, Patpong
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.287-290
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    • 1995
  • Recently H$_{\infty}$ control theory for nonlinear systems based on the Hamilton-Jacobi inequality has been developed. In this paper, we apply the state feedback controller solved via Riccati equation to a semi-active suspension model, two degree of freedom vehicle model, and show that it is effective for vibration control..

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The Analysis of the optimal Control problem for the Singular System with the Generalized State Space Model (일반화된 상태모델로 주어진 싱귤라 시스템의 최적제어문제 해석)

  • Kwae-Hi lee
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.4
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    • pp.301-304
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    • 1987
  • The Optimal Control Problems for the singular system with the Generalized state space model are considered. It is shown that when the system is singular, the dimension can be reduced by coordinate transformation and the equivalent nonsingular system is got. After we have nonsingular system, the solution for the optimal control problem can be got by Riccati equation.

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Load Following Control of Pressurized Water Reactor (P.W.R. 원자로의 부하추종제어)

  • Lee, Buhm;Park, Young-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.3
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    • pp.221-225
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    • 2008
  • This paper presents a self-tuning controller for pressurized water reactor (P.W.R.). This self-tuning controller includes two substantial steps, such as parameter identification and control-law building in each cycle. Extended least square algorithm is used for parameter identification, Kalman filter is used for state estimation, and discrete Riccati equation is used for optimal control. Effectiveness of this algorithm is shown through computer simulation and sensitivity analysis.

Modal control algorithm on optimal control of intelligent structure shape

  • Yao, Guo Feng;Chen, Su Huan;Wang, Wei
    • Structural Engineering and Mechanics
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    • v.15 no.4
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    • pp.451-462
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    • 2003
  • In this paper, a new block iterative algorithm is presented by using the special feature of the continuous Riccati equation in the optimal shape control. Because the real-time control require that the CPU time should be as short as possible, an appropriate modal control algorithm is sought. The computing cost is less than the one of the all state feedback control. A numerical example is given to illustrate the algorithm.

On the Limitation of Telegrapher′s Equations for Analysis of Nonuniform Transmission Lines

  • Kim, Se-Yun
    • Journal of electromagnetic engineering and science
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    • v.4 no.2
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    • pp.68-71
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    • 2004
  • The limitation of telegrapher's equations for analysis of nonuniform transmission lines is investigated here. It is shown theoretically that the input impedance of a nonuniform transmission line cannot be derived uniquely from the Riccati equation only except for the exponential transmission line of a particular frequency-dependent taper. As an example, the input impedance of an angled two-plate transmission line is calculated by solving the telegrapher's equations numerically. The numerical results suffer from larger deviation from its rigorous solution as the plate angle increases.

Suboptimal Control of Nonlinear Systems via Block-Pulse Transformation (블록펄스 변환에 의한 비선형계의 준최적제어에 관한 연구)

  • 안두수;박준훈
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.12
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    • pp.1273-1279
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    • 1991
  • In this paper new adaptive approach method for sub optimal control of nonlinear systems is presented. This paper used the method proposed by J.P.Matuszewski for adaptive optimal control scheme and used block pulse transformations for solving the Riccati differential equation which is usually quite this method is estabilished with simulation results and comparisons to existing approaches.

A NEW DESCRIPTION OF SPHERICAL IMAGES ASSOCIATED WITH MINIMAL CURVES IN THE COMPLEX SPACE ℂ4

  • Yilmaz, Suha;Unluturk, Yasin
    • Honam Mathematical Journal
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    • v.44 no.1
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    • pp.121-134
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    • 2022
  • In this study, we obtain the spherical images of minimal curves in the complex space in ℂ4 which are obtained by translating Cartan frame vector fields to the centre of hypersphere, and present their properties such as becoming isotropic cubic, pseudo helix, and spherical involutes. Also, we examine minimal curves which are characterized by a system of differential equations.

Design of a Guaranteed Cost Controller for a Class of Systems with Uncertain Parameters (불확정 피라미터를 갖는 시스템에 대한 Guaranteed Cost 제어기의 설계)

  • Lee, Jung Moon;Choi, Keh Kun
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.5
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    • pp.653-657
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    • 1986
  • This paper describes a method to design a guaranteed cost controller for a system with uncertain parameters. The design procedure consists of defining an arbitrary function which satisfies certain condition and minimizing it over the control input. When the method is applied to a class kof linear systems with uncertain parameters, a Riccati equation with additional terms results. A simple example is presented to illustrate the usefulness of this method.

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