• Structural Engineering and Mechanics
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• 제12권1호
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• pp.35-50
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• 2001

A numerical methodology is presented in this paper for the geometrically non-linear analysis of slender uni-dimensional structural elements under unilateral contact constraints. The finite element method together with an updated Lagrangian formulation is used to study the structural system. The unilateral constraints are imposed by tensionless supports or foundations. At each load step, in order to obtain the contact regions, the equilibrium equations are linearized and the contact problem is treated directly as a minimisation problem with inequality constraints, resulting in a linear complementarity problem (LCP). After the resulting LCP is solved by Lemke's pivoting algorithm, the contact regions are identified and the Newton-Raphson method is used together with path following methods to obtain the new contact forces and equilibrium configurations. The proposed methodology is illustrated by two examples and the results are compared with numerical and experimental results found in literature.

• Nuclear Engineering and Technology
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• 제16권4호
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• pp.181-194
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• 1984

변분법을 사용하여 원자로의 핵연료 관리문제를 연구하였다. 원자력 발전소에 영향을 미치는 두 함수 즉 이윤함수와 가격함수는 원자로의 연소도방정식과 최대허용출력 밀도에 대한 부등 제약조건이며, 이들은 임계성의 제약조건이 된다. 초기이윤의 변분해는 원자로에 뚜렷한 두 영역이 있음을 보여 주었다. 즉 일정 출력 영역과 최소 재고량 또는 평활 중성자속 영역이 그것이다. 이들 든 영역의 변이점은 전력에 대한 이윤과 연료에 대한 이자 지급에 상당히 중요하다. 그러므로 각 영역에서 동일 농축도의 핵연료를 가질 동일 부피의 세 영역으로 된 원자로를 최적화 하기 위하여 핵연료 주기 가격 함수가 사용 되었다. 최대 허용 출력 밀도에 대한 부등 제약조건들은 이들 부등 제약 조건이 원자로심의 어느 특정 점이나 로심주기를 통하여 항상 동일 제약조건이 되어야 한다. 원자로의 임계성과 출력밀도에 대한 동일 제약조건에 관계된 핵연료의 연소도에 대한 계차 방정식의 해를 구하였으며 최적 농축도의 위치를 구하기-위하여 구배법을 사용하였다. 이들 계산결과는 부동 제약 조건들을 적절히 적용하면 원자로를 최적화하기 위하여 비선형 최적 기술이 사용될 수 있음을 보여 주었다.

• 제어로봇시스템학회논문지
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• 제5권1호
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• pp.11-15
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• 1999

In this paper, a robust pole placement controller for time invariant linear systems with polytopic uncertainties is presented. The proposed controller is a fixed order output feedback controller which stabilizes the uncertain systems and satisfies the constraints on the closed-loop pole location. The proposed controller can be obtained by minimizing a certain nonlinear object function subject to linear matrix inequality constraints. An algorithm for solving the nonlinear optimization problem is also proposed.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 22-24 Oct. 1991
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• pp.1655-1658
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• 1991

This paper considers the design and analysis of one-step ahead optimal and adaptive controllers, under the restriction that a known constraint on the input amplitude is imposed. It is assumed that the discrete-time single-input, single-output system to be controlled is linear, except for inequality constraints on the input. The objective function to be minimized is an one-step quadratic function, where polynomial weights on the input and output are included. Both the known parameter and unknown parameter (indirect adaptive controller) cases are examined.

• 대한전기학회논문지
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• 제32권4호
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• pp.121-127
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• 1983

In this paper an efficient algorithm for Pontriagin's maximum principle is developed. Fletcher-Powell method is adopted as optimization technique which shows fast and stable convergence characteristics. Terminal constraints are alse considered by using Hestens' algorithm and penalty function method together. Control variable inequality constraints are also considered by using Gradient Projection technique combined with Flectcher-Powell method. Test experiment shows good and reliable results.

• 대한전기학회논문지
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• 제33권6호
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• pp.241-246
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• 1984

The power system scheduling process is formulated as an optimization problem with linear inequality constraints. AC Loadflow method is used for the problem solution and line losses are considered. The constraints under consiceration are generator power limits, load schedding limits and line capacity limits. In solving the objective function the Dual Relaxation method is adopted. Tests indicate that the method is practical for real time applications.

• 전자공학회논문지SC
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• 제40권4호
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• pp.251-263
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• 2003

본 논문에서는 연속시간과 이산시간에서 파라미터 불확실성을 가지는 선형 시불변 특이시스템에 대한 Η₂제어기 존재조건과 설계방법을 행렬부등식으로 제안한다. 먼저, 연속시간의 경우에는 Η₂제어기가 존재하기 위한 필요충분조건과 설계방법을 선형행렬부등식(linear matrix inequality)으로 제시하고, 이산시간의 경우에는 Η₂제어기가 존재하기 위한 충분조건과 설계방법을 행렬부등식으로 제시한다. 마지막으로 연속시간과 이산시간 각각의 경우에서, 파라미터 불확실성을 고려하여 제시한 조건들을 견실 Η₂제어문제로 확장하고, 간단한 예제를 통해 제시한 조건의 타당성을 검토해 본다.

• Transactions on Control, Automation and Systems Engineering
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• 제2권1호
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• pp.31-39
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• 2000

We present a robust and reliable H$\infty$ state-feedback controller design for linear uncertain systems, which have norm-bounded time-varying uncertainty in the state matrix, and their prespecified sets of actuators are susceptible to failure. These controllers should guarantee robust stability of the systems and H$\infty$ norm bound against parameter uncertainty and/or actuator failures. Based on the linear matrix inequality (LMI) approach, two state-feedback controller design methods are constructed by formulating to a set of LMIs corresponding to all failure cases or a single LMI that covers all failure cases, with an additional costraint. Effectiveness and geometrical property of these controllers are validated via several numerical examples. Furthermore, the proposed LMI frameworks can be applied to multiobjective problems with additional constraints.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2005년도 춘계학술대회논문집
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• pp.436-439
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• 2005

Dynamic contact of a cantilever beam with Sap at the end is discussed. The gap in a structure induces dynamic contact, and the contact problem is always accompanied by inequality constraints which mean that the solution of the structure with contact condition should satisfy variational inequality. Inequality, but, can be reduced to equality condition considering convex penalty function. In this paper, formulation of a beam with contact is derived using quasi convex penalty function. General coordinate solution which is needed to increase computational efficiency is applied. Nonlinear behavior of a beam with rigid and elastic contact condition was discussed.

• Journal of Information Processing Systems
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• 제13권2호
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• pp.417-427
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• 2017

Power allocation is an important factor for cognitive radio networks to achieve higher communication capacity and faster equilibrium. This paper considers power allocation problem to each cognitive user to maximize capacity of the cognitive systems subject to the constraints on the total power of each cognitive user and the interference levels of the primary user. Since this power control problem can be formulated as a mixed-integer nonlinear programming (NP) equivalent to variational inequality (VI) problem in convex polyhedron which can be transformed into complementary problem (CP), we utilize modified projection method to solve this CP problem instead of finding NP solution and give a power control allocation algorithm with a subcarrier allocation scheme. Simulation results show that the proposed algorithm performs well and effectively reduces the system power consumption with almost maximum capacity while achieve Nash equilibrium.