• Title/Summary/Keyword: Inequality constraints

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Optimum design of broadband RAM(Radar Absorbing Material)'s using multi-layer dielectrics (다층유전체를 이용한 광대역 전파흡수체 최적 설계)

  • 남기진;이상설
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.1
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    • pp.70-78
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    • 1995
  • In order to implement broadband RAM's(Radar Absorbing Materials) made up of multiple dielectricl layers, the design variables such as the dielectrci constaints, the depths and the loss tangents of dielectric are optimized. The wave impedances regarding the reflective wave are found in dielectrics, input impedances and reflection coefficients with multiple dielectric layers are derived from the transmission line circuit theory. Finally, minimum average reflective power and optimum design variables are obtained by applying the numerical technique, called modified Powell method. In case of four dielectric layers with inequality constraints in design variables, a quite favourable and feasible result with the total depth of 1.1 cm, the average reflective power of 0.85% over the bradband frequency range is obtained for a specific example.

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Local motion planner for nonholonomic mobile robots

  • Hong, Sun-Gi;Choi, Changkyu;Shin, Jin-Ho;Park, Kang-Bark;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.530-533
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    • 1995
  • This paper deals with the problem of motion planning for a unicycle-like robot. We present a simple local planner for unicycle model, based on an approximation of the desired configuration generated by local holonomic planner that ignores motion constraints. To guarantee a collision avoidance, we propose an inequality constraint, based on the motion analysis with the constant control input and time interval. Consequently, we formulate our problem as the constrained optimization problem and a feedback scheme based on local sensor information is established by simply solving this problem. Through simulations, we confirm the validity and effectiveness of our algorithm.

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A Study on a Real-Coded Genetic Algorithm (실수코딩 유전알고리즘에 관한 연구)

  • Jin, Gang-Gyoo;Joo, Sang-Rae
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.4
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    • pp.268-275
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    • 2000
  • The increasing technological demands of today call for complex systems, which in turn involve a series of optimization problems with some equality or inequality constraints. In this paper, we presents a real-coded genetic algorithm(RCGA) as an optimization tool which is implemented by three genetic operators based on real coding representation. Through a lot of simulation works, the optimum settings of its control parameters are obtained on the basis of global off-line robustness for use in off-line applications. Two optimization problems are Presented to illustrate the usefulness of the RCGA. In case of a constrained problem, a penalty strategy is incorporated to transform the constrained problem into an unconstrained problem by penalizing infeasible solutions.

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A Computation Method of B-coefficient With Static Voltage Dependent Load Model (정적 전압의존형 부하모델을 적용한 B계수 산정법)

  • Lee, Myung-Hwan;Chae, Myung-Suk;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.218-220
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    • 1997
  • In power system, economic dispatch problem is to minimize fuel cost with inequality constraints of generator output. To solve this problem it is very important to express power loss equation that have Quadratic function of generator power included B-coefficient. This paper presents a method in determining B-coefficient by use A-matrix that is calculated by power flow considering voltage dependent static load model. The proposed algorithm is tested with IEEE 6 bus sample system, which shows the result in each cases by the change of load component factor.

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Sparse Second-Order Cone Programming for 3D Reconstruction

  • Lee, Hyun-Jung;Lee, Sang-Wook;Seo, Yong-Duek
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.01a
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    • pp.103-107
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    • 2009
  • This paper presents how to minimize the second-order cone programming problem occurring in the 3D reconstruction of multiple views. The $L_{\infty}$-norm minimization is done by a series of the minimization of the maximum infeasibility. Since the problem has many inequality constraints, we have to adopt methods of the interior point algorithm, in which the inequalities are sequentially approximated by log-barrier functions. An initial feasible solution is found easily by the construction of the problem. Actual computing is done by an iterative Newton-style update. When we apply the interior point method to the problem of reconstructing the structure and motion, every Newton update requires to solve a very large system of linear equations. We show that the sparse bundle-adjustment technique can be utilized in the same way during the Newton update, and therefore we obtain a very efficient computation.

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Implementation of Neural Network for Cost Minimum Routing of Distribution System Planning (배전계통계획의 최소비용 경로탐색을 위한 신경회로망의 구현)

  • Choi, Nam-Jin;Kim, Byung-Seop;Chae, Myung-Suk;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 1999.11b
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    • pp.232-235
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    • 1999
  • This paper presents a HNN(Hopfield Neural Network) model to solve the ORP(Optimal Routing Problem) in DSP(Distribution System Planning). This problem is generally formulated as a combinatorial optimization problem with various equality and inequality constraints. Precedent study[3] considered only fixed cert, but in this paper, we proposed the capability of optimization by fixed cost and variable cost. And suggested the corrected formulation of energy function for improving the characteristics of convergence. The proposed algorithm has been evaluated through the sample distribution planning problem and the simmulation results are presented.

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Multiobjective State-Feedback Control of Smart Structural Systems (지능구조물의 다목적 상태궤환 제어)

  • 홍성일;박현철;박철휴
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.452-458
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    • 2003
  • This paper presents a robust vibration control methodology of smart structural systems. The governing equations and associated boundary conditions are derived by Hamilton's principle. A robust controller is designed using a linear matrix inequality (LMI) approach to the multiobjective synthesis. The design objectives are to achieve a mix of H$\sub$$\infty$/ performance and H$_2$ performance satisfying constraints on the closed-loop pole locations in the face of model uncertainties. Numerical examples are presented to demonstrate the effectiveness of LMI approach in damping out the multiple modes of vibration of the piezo/beam system.

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A Study on the Emergency Control Algorithm for Viability Crisis of Power System (계통사고시 장해 경감을 위한 긴급제어에 관한 연구)

  • Song, Kil-Yeong;Lee, Hee-Yeong
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.129-132
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    • 1987
  • This paper presents an emergency control algorithms for viability crisis following abnormal condition as well as a sudden major supply outage and line outage. The algorithm considers the effect of voltage-reactive power control for determining the load shedding quantities and generation reallocation. The problem is decomposed into a P-problem and a Q-problem. The former minimizes system frequency deviation from nominal value and the latter minimizes voltages violation of load buses. The optimization problem is solved by a reduced gradient technique which can handle a great number of inequality constraints very efficiently. It has been found that the use of the proposed algorithm for 6-Bus system restore the abnormal system during the viability crisis to the normal state.

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Collision Avoidance Method Using Minimum Distance Functions for Multi-Robot System (최소거리함수를 이용한 다중 로보트 시스템에서의 충돌회피 방법)

  • Chang, C.;Chung, M.J.
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.425-429
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    • 1987
  • This paper describes a collision avoidance method for planning safe trajectories for multi-robot system in common work space. Usually objects have been approximated to convex polyhedra in most previous researches, but in case using such the approximation method it is difficult to represent objects analytically in terms of functions and also to describe tile relationship between the objects. In this paper, in order to solve such problems a modeling method which approximates objects to cylinder ended by hemispheres and or sphere is used and the maximum distance functions is defined which call be calculated simply. Using an objective function with inequality constraints which are related to minimum distance functions, work range and maximum allowable angular velocities of the robots, tile collision avoidance for two robots is formulated to a constrained function optimization problem. With a view to solve tile problem a penalty function having simple form is defined and used. A simple numerical example involving two PUMA-type robots is described.

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A Fault Detection System Design for Uncertain Fuzzy Systems

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.1
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    • pp.1-5
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    • 2006
  • This paper deals with a fault detection system design for uncertain nonlinear systems modelled as T-S fuzzy systems with the integral quadratic constraints. In order to generate a residual signal, we used a left coprime factorization of the T-S fuzzy system. From the filtered signal of the residual generator, the fault occurence can be detected effectively. A simulation study with nuclear steam generator level control system shows that the suggested method can be applied to detect the fault in actual applications.