• 제어로봇시스템학회:학술대회논문집
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• 2005.06a
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• pp.2093-2098
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• 2005

In this paper, $H_{2}$ designs for the one-degree-of-freedom decoupling control systems are treated for the generalized plant. The optimal $H_{2}$ controller is obtained together with the ones that yield finite $H_{2}$ cost functions under compact assumptions. It is shown that the optimal closed transfer matrix is strictly proper under the reasonable order assumptions on the generalized plant.

• Proceedings of the KIEE Conference
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• 2000.07d
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• pp.2645-2647
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• 2000

This paper presents an LMI(Linear Matrix Inequalities) method for designing the optimal decoupling controller. The proposed controller based on the Two-Degree-of-Freedom configuration considers both the performance of controller and decoupling properties. The decoupling controller parameters are obtained from LMI method for computational efficiency.

• The Transactions of the Korean Institute of Electrical Engineers A
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• v.48 no.8
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• pp.980-986
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• 1999

In this paper, the optimal controller which decouples a coupled multivariable system and minimizes a quadratic performance index is proposed. Design of the controller is based on the two-degree-of-freedom standard model. The class of all stabilizing and decoupling controllers is parametrized first and the $H^{2}$optimal controller is obtained by using this parametrized form. An illustrative example for a $2{\times}2$ plant is given.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.38 no.1
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• pp.14-26
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• 2001

This paper presents an LMI(Lincar Matrix Inequalities) method for designing the optimal decoupling controller. The proposed controller based on the Two Degree-of-Freedom configuration considers both the performance of controller and decoupling properties. A minimal set of assumptions for existence of the decoupling controller formula is described in the state space formulas. The decoupling controller parameters are obtained from LMI methods for computational efficiency.

• Journal of Institute of Control, Robotics and Systems
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• v.7 no.3
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• pp.183-192
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• 2001

In this paper, the decoupling H(sub)$\infty$ controller which minimizes the maximum energy in the output signal is designed to reduce the coupling properties between the input/output variables which make it difficult to control a system efficiently. The state-space formulas corresponding to the existing transfer matrix formulas of the controller are derived for computational efficiency. And for a given decoupling $H_{\infty}$ problem, an efficient method are sought to find the controller coefficients through the LMI(Linear Matrix Inequalities) method by which the problem is formulated into a convex optimization problem.

• Journal of Electrical Engineering and Technology
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• v.8 no.6
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• pp.1551-1558
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• 2013

$H_2$ design of decoupled control systems is treated in the generalized plant model. The existence condition of a decoupling controller is stated and a parameterized form of all achievable decoupled closed loop transfer matrices is presented by using the directional interpolation approaches under the assumption of simple transmission zeros. The class of all decoupling controllers that yield finite cost function is obtained as a parameterized form and an illustrative example to find the optimal controller is provided.

• Journal of the Institute of Electronics Engineers of Korea TE
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• v.42 no.4
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• pp.47-52
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• 2005

In this paper, the genetic algorithm is used to design a fixed order square decoupling $H_{\infty}$ controllers based on the Two-Degree-of-freedom standard model. The proposed decoupling $H_{\infty}$ controller which is minimizes the maximum energy in the output signal is designed to reduce the coupling properties between the input/output variables which make it difficult to control a system efficiently. A minimal set of assumptions for existence of the decoupling controller formula is described in the state-space formulas. It is verified by an example.

• Proceedings of the KIEE Conference
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• 1998.11b
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• pp.460-462
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• 1998

In this study, we deal with a multivariable system which its input and output are coupled. This study presents a method for designing a controller which allows a coupled system to be transformed to a decoupled system in a standard model adopting 2DOF controller. And Wiener-Hopf($H_2$) approach is used so that the designed controller can minimize given cost function.

• Journal of Power Electronics
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• v.19 no.2
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• pp.487-496
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• 2019

For a solid-state transformer (SST), some factors, such as signal delay, switching loss and differences in the system parameters, lead to unbalanced DC-link voltages among the cascaded H-bridges (CHB). With a control method implemented in the ${\alpha}{\beta}$ frame, the DC-link voltages are balanced, and the reactive power is equally distributed among all of the H-bridges. Based on the ${\alpha}{\beta}$ frame control, the system can achieve independent active current and reactive current control. In addition, the control method of the high-voltage stage is easy to implement without decoupling or a phase-locked loop. Furthermore, the method can eliminate additional current delays during transients and get the dynamic response rapidly without an imaginary current component. In order to carry out the controller design, the vector refactoring relations that are used to balance DC-link voltages are derived. Different strategies are discussed and simulated under the unbalanced load condition. Finally, a three-cell CHB rectifier is constructed to conduct further research, and the steady and transient experimental results verify the effectiveness and correctness of the proposed method.