• 대한전기학회논문지
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• 제37권7호
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• pp.490-497
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• 1988

This paper is concerned with the robust stability of linear quadratic state feedback regulators for infinite dimensional systems in the presence of system uncertainties Several robustness results ensuring the asymptoitc stability and exponential stability of the perturbed closed loop system are derived for a class of nonlinear perturbations of the system and input operators satisfying the matching condition. For the case where the input space is finite dimensional, some robust properties of the state feedback regulator designed on the basis of the linear quadratic regulator for finite dimensional unstable modes are also discussed seperately.

• 대한전기학회논문지
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• 제37권6호
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• pp.414-421
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• 1988

This paper is concerned with a design procedure for constructing finite dimensional compensators for a class of infinite dimensional aystems. Basically, this procedure consists of decomposing the state space of the basis of its modes and utilizing well-known finite dimensional algorithms for constructing observers and state feedback control laws. The finite dimensional observer dynamics is modified to account for the effect of the residual modes so as to achieve the stabelity of the closed loop system asymptotically.

• Korean Journal of Mathematics
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• 제9권2호
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• pp.157-164
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• 2001

We construct an operad which is called the mapping class group operad. Its structure map is induced by the attachings of surfaces. The similar operad was constructed by Tillmann in order prove that ${\Gamma}^+_{\infty}$ is an infinite loop space. Our operad is rather simpler and easier to deal with.

• Korean Journal of Mathematics
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• 제18권2호
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• pp.175-183
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• 2010

The classical group completion theorem states that under a certain condition the homology of ${\Omega}BM$ is computed by inverting ${\pi}_0M$ in the homology of M. McDuff and Segal extended this theorem in terms of homology fibration. Recently, more general group completion theorem for simplicial spaces was developed. In this paper, we construct a symmetric monoidal 2-category ${\mathcal{A}}$. The 1-morphisms of ${\mathcal{A}}$ are generated by three atomic 2-dimensional CW-complexes and the set of 2-morphisms is given by the group of path components of the space of homotopy equivalences of 1-morphisms. The main part of the paper is to compute the homotopy type of the group completion of the classifying space of ${\mathcal{A}}$, which is shown to be homotopy equivalent to ${\mathbb{Z}}{\times}BAut^+_{\infty}$.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2012년도 춘계학술대회 논문집
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• pp.763-768
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• 2012

Active window system which can reduce the environmental noises, such as traffic noise and construction noise, from an open window into a room was proposed in the previous works. The key idea of the proposed active window system was that the control sources are approximately collocated with the primary noise source in terms of the acoustic power for global noise reduction throughout the interior room. Moreover, because it is important not to intrude into the living space in the building environment, no error sensors were used and an open-loop control method using control sources at the window frame and the reference sensors outside the room was used for the proposed system. The open-loop control gain was calculated by the interior room model assumed as the semi-infinite space, and the interior sound field was estimated by Rayleigh integral equation under the baffled window model assumption. However, windows with a finite thickness should were considered for the calculation of the open-loop control gain of the active window system since these are representative of most window cases. Therefore, the finite thickness window model based on the Sgard's model was derived and the open-loop control gain using the interior sound field estimated by that model was calculated for active window system. To compare the performance of these two models, a scale-model experiment was performed in an anechoic chamber according to noise source directions. Experimental results showed that the performance for the thickness window model is better than the baffled window model as the angle with respect to the perpendicular direction is larger.

• Journal of Mechanical Science and Technology
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• 제15권10호
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• pp.1356-1368
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• 2001

In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

• 전기의세계
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• 제26권2호
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• pp.99-103
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• 1977

The object of this work is to study an optimal design problem of the proportional load-frequency controller for the single-control area power system. The selfservice power station is still a popular means as a power supplying source on ships or in a certain manufacturing area. The power system of this kind can be formulated as a single control-area system and it attracts a certain academic interest in controlling the system frequency under disturbances. In this paper, the single control-area system is mathematically formulated as a linear, time-invariant system in state-space under certain assumptions. The optimal proportional control law and the realization of the controller in closed loop-version is studied so that the final system designed can attain the system frequency to the nominal stationing value after the small load-disturbance. As in general cases of optimal design problems, the performance index is assumed to be quadratic in states and the control effort, and the infinite time control process is assumed in this work. The final control system realized depicts certain improvements in case study; in stability, transient responses and in steady-state frequency deviation, even though the steady state error did not attain the zero value.

• 한국전자파학회논문지
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• 제24권9호
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• pp.873-882
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• 2013

13.56 MHz 무선 에너지 전송 시스템의 효율적인 전자파 장해(EMI) 측정 및 분석 방법을 제안한다. 두 루프 안테나가 자유 공간과 PEC면 위에 있는 두 가지 경우에 대하여 영상법과 쌍대성을 이용하여 자계 결합 시스템의 등가회로 모델링 분석을 통하여 각 루프에 흐르는 전류 및 발생하는 전자장을 수식적으로 표현한다. 여기서 완전 도체(Perfect Electric Conductor: PEC)는 완전 도체의 무한한 평면의 형태를 가지며, 이후에는 PEC면이라고 지칭한다. 원점에서 부터 관측 지점까지의 거리보다 충분히 가까운 지점에서의 최대 전자장의 크기를 이용하여 원점에서 충분히 떨어진 지점의 최대 전자장의 크기를 이론적으로 유추할 수 있다. 근거리에서의 자기장의 크기로 이론적으로 유추한 10 m 떨어진 위치에서의 최대 전자장의 크기와 상용 수치 해석 툴을 이용하여 구한 10 m 떨어진 위치의 최대 전자장의 크기를 비교, 분석하였다. 또한, 이론적으로 구한 최대 자기장의 크기를 바탕으로 방사성 장해 허용 기준을 만족하는 최대 허용 전력의 크기도 쉽게 구할 수 있다.