• 제목/요약/키워드: inequality problems

검색결과 296건 처리시간 0.022초

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

  • 장철;정명진
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 1987년도 정기총회 및 창립40주년기념 학술대회 학회본부
    • /
    • pp.425-429
    • /
    • 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.

  • PDF

Fuzzy control for geometrically nonlinear vibration of piezoelectric flexible plates

  • Xu, Yalan;Chen, Jianjun
    • Structural Engineering and Mechanics
    • /
    • 제43권2호
    • /
    • pp.163-177
    • /
    • 2012
  • This paper presents a LMI(linear matrix inequality)-based fuzzy approach of modeling and active vibration control of geometrically nonlinear flexible plates with piezoelectric materials as actuators and sensors. The large-amplitude vibration characteristics and dynamic partial differential equation of a piezoelectric flexible rectangular thin plate structure are obtained by using generalized Fourier series and numerical integral. Takagi-Sugeno (T-S) fuzzy model is employed to approximate the nonlinear structural system, which combines the fuzzy inference rule with the local linear state space model. A robust fuzzy dynamic output feedback control law based on the T-S fuzzy model is designed by the parallel distributed compensation (PDC) technique, and stability analysis and disturbance rejection problems are guaranteed by LMI method. The simulation result shows that the fuzzy dynamic output feedback controller based on a two-rule T-S fuzzy model performs well, and the vibration of plate structure with geometrical nonlinearity is suppressed, which is less complex in computation and can be practically implemented.

A HYBRID PROXIMAL POINT ALGORITHM AND STABILITY FOR SET-VALUED MIXED VARIATIONAL INCLUSIONS INVOLVING (A, ${\eta}$)-ACCRETIVE MAPPINGS

  • Kim, Jong-Kyu;Li, Hong Gang
    • East Asian mathematical journal
    • /
    • 제26권5호
    • /
    • pp.703-714
    • /
    • 2010
  • A new class of nonlinear set-valued mixed variational inclusions involving (A, ${\eta}$)-accretive mappings in Banach spaces is introduced and studied, which includes many kind of variational inclusion (inequality) and complementarity problems as special cases. By using the resolvent operator associated with (A, ${\eta}$)-accretive operator due to Lan-Cho-Verma, the existence of solution for this kind of variational inclusion is proved, and a new hybrid proximal point algorithm is established and suggested, the convergence and stability theorems of iterative sequences generated by new iterative algorithms are also given in q-uniformly smooth Banach spaces.

H$\infty$ State Feedback Control for Generalized Continuous/Discrete Time Delay System

  • Kim, Jong-Hae;Jeung, Eun-Tae;Lee, Sang-Kyung;Park, Hong-Bae
    • Journal of Electrical Engineering and information Science
    • /
    • 제3권2호
    • /
    • pp.163-169
    • /
    • 1998
  • In this paper, we consider the problem of designing H$\infty$ state feedback controller for the generalized time systems with delayed states and control inputs in continuous and discrete time cases, respectively. The generalized time delay system problems are solved on the basis of LMI(linear matrix inequality) technique considering time delays. The sufficient condition for the existence of controller and H$\infty$ state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be rewritten as a LMI form in terms of transformed variables. The propose controller design method can be extended into the problem of robust H$\infty$ state feedback controller design method easily.

  • PDF

AN ACTIVE SET SQP-FILTER METHOD FOR SOLVING NONLINEAR PROGRAMMING

  • Su, Ke;Yuan, Yingna;An, Hui
    • East Asian mathematical journal
    • /
    • 제28권3호
    • /
    • pp.293-303
    • /
    • 2012
  • Sequential quadratic programming (SQP) has been one of the most important methods for solving nonlinear constrained optimization problems. Recently, filter method, proposed by Fletcher and Leyffer, has been extensively applied for its promising numerical results. In this paper, we present and study an active set SQP-filter algorithm for inequality constrained optimization. The active set technique reduces the size of quadratic programming (QP) subproblem. While by the filter method, there is no penalty parameter estimate. Moreover, Maratos effect can be overcome by filter technique. Global convergence property of the proposed algorithm are established under suitable conditions. Some numerical results are reported in this paper.

수요지향적 항만물류전문인력 공급체계 구축을 위한 지역대학의 역할 -부산지역 대학교육기관을 중심으로- (Roles of Regional Universities and Colleges on Establishing Education System for Specialized Human Resources in Port Logistics Area -Forced on Busan Region)

  • 손애휘
    • 한국항만경제학회지
    • /
    • 제21권1호
    • /
    • pp.93-109
    • /
    • 2005
  • The paper draws the scales of supply and shortages of port logistics area's human resources based upon the future prospect of its supply and demand. Due to the problems that we face today with human resources training and inequality between the levels of demand and supply, introduction of a new training system by local universities and their overall improvement are brought up as the needs of the times. In order for these to happen, the local universities need to assure originality by specializing Port Logistics area. They need to develop demand-oriented port logistics education programs through establishment of cooperation among the universities, as well as expand qualitative and quantitative improvement their educational programs. In addition the local universities have to act as the central of nurturing local talents by developing an educational-governmental cooperation, leading port & logistics' educational policy as think-tank and producting ready-to-work talent.

  • PDF

Moment inequalities of $NBU_{mgf}$ with testing hypotheses application

  • Mahmoud, M.A.W.;Gadallah, A.M.
    • International Journal of Reliability and Applications
    • /
    • 제13권2호
    • /
    • pp.57-69
    • /
    • 2012
  • Our goal in this paper is to establish inequalities for the moments of new better than used in the moment generating function class ($NBU_{mgf}$). Using these inequalities we propose a new test for exponentiality versus $NBU_{mgf}$ class. Pitman's asymptotic relative efficiency, power and critical values of this test are calculated to assess the performance of the test. We proposed also a new test for exponentiality versus $NBU_{mgf}$ in the right censored data. Sets of real data are used as an example to elucidate the use of the proposed test for practical problems.

  • PDF

ON COEFFICIENT PROBLEMS FOR STARLIKE FUNCTIONS RELATED TO VERTICAL STRIP DOMAINS

  • Kwon, Oh Sang;Sim, Young Jae
    • 대한수학회논문집
    • /
    • 제34권2호
    • /
    • pp.451-464
    • /
    • 2019
  • In the present paper, we find the sharp bound for the fourth coefficient of starlike functions f which are normalized by f(0) = 0 = f'(0) - 1 and satisfy the following two-sided inequality: $$1+{\frac{{\gamma}-{\pi}}{2\;{\sin}\;{\gamma}}}\;<\;{\Re}\{{\frac{zf^{\prime}(z)}{f(z)}}\}\;<\;1+{\frac{{\gamma}}{2\;{\sin}\;{\gamma}}},\;z{\in}{\mathbb{D}}$$, where ${\mathbb{D}}:=\{z{\in}{\mathbb{C}}:{\left|z\right|}<1\}$ is the unit disk and ${\gamma}$ is a real number such that ${\pi}/2{\leq}{\gamma}<{\pi}$. Moreover, the sharp bound for the fifth coefficient of f defined above with ${\gamma}$ in a subset of [${\pi}/2,{\pi}$) also will be found.

Design optimization of a hollow shaft through MATLAB and simulation using ANSYS

  • Mercy, J. Rejula;Stephen, S. Elizabeth Amudhini;Edna, K. Rebecca Jebaseeli
    • Coupled systems mechanics
    • /
    • 제11권3호
    • /
    • pp.259-266
    • /
    • 2022
  • Non-Traditional Optimization methods are successfully used in solving many engineering problems. Shaft is one of important element of machines and it is used to transmit power from a machine which produces power to a machine which absorbs power. In this paper, ten non-traditional optimization methods that are ALO, GWO, DA, FPA, FA, WOA, CSO, PSO, BA and GSA are used to find minimum weight of hollow shaft to get global optimal solution. The problem has two design variables and two inequality constraints. The comparative results show that the Particle Swarm Optimization outperforms other methods and the results are validated using ANSYS.

도로 네트워크 데이타베이스에서 근사 색인을 이용한 k-최근접 질의 처리 (k-Nearest Neighbor Querv Processing using Approximate Indexing in Road Network Databases)

  • 이상철;김상욱
    • 한국정보과학회논문지:데이타베이스
    • /
    • 제35권5호
    • /
    • pp.447-458
    • /
    • 2008
  • 본 논문에서는 도로 네트워크 데이타베이스에서 정적 객체의 k-최근접 이웃 질의를 효율적으로 처리하기 위한 방안을 논의한다. 기존의 여러 기법들은 인덱스를 사용하지 못했는데, 이는 네트워크 거리가 순서화 된 거리함수가 아니며 삼각 부등식(triangular inequality) 성질 또한 만족하지 못하기 때문이다. 이러한 기존 기법들은 질의 처리 시 심각한 성능 저하의 문제를 가진다. 선계산된 네트워크 거리를 이용하는 또 다른 기법은 저장 공간의 오버헤드가 크다는 문제를 갖는다. 본 논문에서는 이러한 두 가지 문제점들을 동시에 해결하기 위하여 객체들 간의 네트워크 거리를 근사하여 객체들에 대한 인덱스를 구축하고, 이를 이용하여 k-최근접 이웃 질의를 처리하는 새로운 기법을 제안한다. 이를 위하여 본 논문에서는 먼저 네트워크 공간상의 객체를 유클리드 공간상으로 사상하기 위한 체계적인 방법을 제시한다. 특히, 삼각 부등식 성질을 만족시키기 위하여 평균 네트워크 거리라는 새로운 거리 개념을 제시하고, 유클리드 공간으로의 사상을 위하여 FastMap 기법을 사용한다. 다음으로, 평균 네트워크 거리와 FastMap을 사용하여 네트워크 공간상의 객체들로 인덱스를 구축하는 근사 색인 알고리즘을 제시한다. 또한, 구축한 인덱스를 사용하여 k-최근접 이웃 질의를 효과적으로 수행하는 알고리즘을 제안한다. 마지막으로, 실제 도로 네트워크를 이용한 다양한 실험을 통하여 제안된 기법의 우수성을 규명한다.