• 제목/요약/키워드: Optimal control problems

검색결과 571건 처리시간 0.03초

주행문제를 위한 최신 근사적 동적계획법의 적용 (Application of Recent Approximate Dynamic Programming Methods for Navigation Problems)

  • 민대홍;정근우;권기영;박주영
    • 한국지능시스템학회논문지
    • /
    • 제21권6호
    • /
    • pp.737-742
    • /
    • 2011
  • 주행문제는 불확실한 외란의 영향을 받는 이동로봇 등의 시스템에 대하여 각종 제약조건들을 만족하도록 하는 제어 입력을 결정하는 과제를 포함한다. 이러한 과제는 제약조건을 갖는 확률 제어 문제로 모델링될 수 있다. 이러한 종류의 제어문제를 풀기 위하여, 최적 가치함수 개념에 의존하는 동적 계획법의 활용을 시도해볼 수 있다. 하지만, 대부분의 실제 문제에서 이러한 시도는 많은 어려움, 예컨대, 시스템의 완벽한 모델이 알려지지 않거나, 최적 제어정책을 구하기 위한 계산이 불가능하거나, 수없이 많은 계산 자원을 필요로 하는 등의 문제점을 안겨줄 수 있다. 이러한 동적 계획법의 어려움을 극복하기 위한 전략으로, 근사적 가치함수에 의존하여 준최적 제어정책을 구하는 근사적 동적 계획법을 사용할 수 있다. 본 논문에서는 최근에 제시된 근사 동적 계획법들을 복잡한 제약조건을 갖는 주행 문제에 적용하여 보고 그 결과로 얻어지는 성능 특성을 관찰해 본다.

VECTOR MEASURES APPLIED TO OPTIMAL CONTROL FOR A CLASS OF EVOLUTION EQUATIONS ON BANACH SPACES

  • Ahmed, Nasir Uddin
    • 대한수학회논문집
    • /
    • 제35권4호
    • /
    • pp.1329-1352
    • /
    • 2020
  • In this paper we consider a class of nonlinear evolution equations on infinite dimensional Banach spaces driven by vector measures. We prove existence and uniqueness of solutions and continuous dependence of solutions on the control measures. Using these results we prove existence of optimal controls for Bolza problems. Based on this result we present necessary conditions of optimality.

A NEW APPROACH FOR ASYMPTOTIC STABILITY A SYSTEM OF THE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

  • Effati, Sohrab;Nazemi, Ali Reza
    • Journal of applied mathematics & informatics
    • /
    • 제25권1_2호
    • /
    • pp.231-244
    • /
    • 2007
  • In this paper, we use measure theory for considering asymptotically stable of an autonomous system [1] of first order nonlinear ordinary differential equations(ODE's). First, we define a nonlinear infinite-horizon optimal control problem related to the ODE. Then, by a suitable change of variable, we transform the problem to a finite-horizon nonlinear optimal control problem. Then, the problem is modified into one consisting of the minimization of a linear functional over a set of positive Radon measures. The optimal measure is approximated by a finite combination of atomic measures and the problem converted to a finite-dimensional linear programming problem. The solution to this linear programming problem is used to find a piecewise-constant control, and by using the approximated control signals, we obtain the approximate trajectories and the error functional related to it. Finally the approximated trajectories and error functional is used to for considering asymptotically stable of the original problem.

Time varying LQR-based optimal control of geometrically exact Reissner's beam model

  • Suljo Ljukovac;Adnan Ibrahimbegovic;Maida Cohodar-Husic
    • Coupled systems mechanics
    • /
    • 제13권1호
    • /
    • pp.73-93
    • /
    • 2024
  • In this work, we propose combining an advanced optimal control algorithm with a geometrically exact beam model. For simplicity, the 2D Reissner beam model is chosen to represent large displacements and rotations. The difficulty pertains to the nonlinear nature of beam kinematics affecting the tangent stiffness matrix, making it non-constant, which compromises direct use of optimal control methods for linear problems. Thus, we seek to accommodate a time varying control using linear-quadratic regulator (LQR) algorithm with the proposed geometrically nonlinear beam model. We provide a detailed theoretical formulation and its numerical implementation in a variational format form. Several illustrative numerical examples are provided to confirm an excellent performance of the proposed methodology.

최적 제어와 신경회로망을 이용한 하이브리드 전기자동차 시뮬레이션 (The Realization of Optimal Control Operation of a Hybrid Electric Vehicle using Neural Network and the Cruise HEV Simulator)

  • 김남욱;안국현;조성태;임원식;이장무
    • 한국신재생에너지학회:학술대회논문집
    • /
    • 한국신재생에너지학회 2005년도 춘계학술대회
    • /
    • pp.349-352
    • /
    • 2005
  • The energy management of an HEV using optimal control and global optimization is thought to be closest to the best operation of the system. However, there are some controversies on the ways of defining the optimization problems and constituting the optimal control simulators. Here, we presented a simulator which adopts the concept of equivalent fuel economy and leads the vehicle to run in a more efficient way. In order to realize the optimal operation of the HEV and check the validity of the control logics, we also developed a forward-facing simulator. The simulator was developed with the Cruise and MATLAB co-simulation interface. Especially, neural network controller was used for the hybrid control module in the simulator. With the simulator, the optimal operation could be converted into hybrid control rules and the validity of the operation was verified.

  • PDF

Approximate Dynamic Programming Strategies and Their Applicability for Process Control: A Review and Future Directions

  • Lee, Jong-Min;Lee, Jay H.
    • International Journal of Control, Automation, and Systems
    • /
    • 제2권3호
    • /
    • pp.263-278
    • /
    • 2004
  • This paper reviews dynamic programming (DP), surveys approximate solution methods for it, and considers their applicability to process control problems. Reinforcement Learning (RL) and Neuro-Dynamic Programming (NDP), which can be viewed as approximate DP techniques, are already established techniques for solving difficult multi-stage decision problems in the fields of operations research, computer science, and robotics. Owing to the significant disparity of problem formulations and objective, however, the algorithms and techniques available from these fields are not directly applicable to process control problems, and reformulations based on accurate understanding of these techniques are needed. We categorize the currently available approximate solution techniques fur dynamic programming and identify those most suitable for process control problems. Several open issues are also identified and discussed.

포커스 그룹 인터뷰를 이용한 젊은 성인 여성의 식생활 실태 및 관련 요인 - 사회인지론에 근거하여 - (Perception on Optimal Diet, Diet Problems and Factors Related to Optimal Diet Among Young Adult Women Using Focus Group Interviews - Based on Social Cognitive Theory -)

  • 김혜진;이아름;김경원
    • 대한지역사회영양학회지
    • /
    • 제21권4호
    • /
    • pp.332-343
    • /
    • 2016
  • Objectives: Study purpose was to investigate perception on diet, diet problems and related factors among young adult women using focus group interviews (FGI) based on the Social Cognitive Theory (SCT). Methods: Eight groups of FGI were conducted with 47 female undergraduate or graduate students. Guide for FGI included questions regarding perception on optimal diet, diet problems and cognitive, behavioral, and environmental factors of SCT. FGI were video, audio-taped, transcribed and analyzed by themes and sub-themes. Results: Subjects showed irregular eating habits (skipping breakfast, irregular meal time) and selection of unhealthy foods as the main diet problems. Regarding cognitive factors related to optimal diet, subjects mentioned positive outcome expectations (e.g., health promotion, skin health, improvement in eating habits, etc.) and negative outcome expectations (e.g., annoying, hungry, expensive, taste). Factors that promoted optimal diet were mainly received from information from mobile or internet and access to menu or recipes. Factors that prevented optimal diet included influence from friends, lack of time and cooking skills. Behavioral factors for optimal diet included behavioral capability regarding snacks, healthy eating and smart food selection. Subjects mentioned mass media (mobile, internet, TV) as the influential physical environment, and significant others (parents, friends, grandparents) as the influential social environment in optimal diet. For education topics, subjects wanted to learn about healthy meals, basic nutrition, disease and nutrition, and weight control. They wanted to learn those aspects by using mobile or internet, lectures (cooking classes), campaign and events. Conclusions: Study results might be used for planning education regarding optimal diet for young adult women. Education programs need to focus on increasing positive outcome expectations (e.g., health) and behavioral capability for healthy eating and food selection, reducing negative outcome expectations (e.g., cost, taste) and barriers, making supportive environments for optimal diet, and incorporating topics and methods found in this study.

인공호흡기 가습기 적용방법이 초극소 저출생 체중아의 경비지속 기도 양압 환기법 유지기간에 미치는 영향 (Effect of Optimal Humidification for Extremely Low Birth Weight Infants During Nasal Continuous Positive Airway Pressure)

  • 김정숙;이은정
    • Child Health Nursing Research
    • /
    • 제17권2호
    • /
    • pp.145-152
    • /
    • 2011
  • Purpose: To evaluate the efficacy of Optimal humidification during Nasal Continuous Positive Airway Pressure (nCPAP) for Extremely Low Birth Weight Infant (ELBWI). Methods: The study design was a pre-test-post-test nonequivalent nonsynchronized quasi-experimental design. The participants were 218 ELBWI on nCPAP (experimental group: 102 and control group: 116). Data collection was conducted from January 2005 to April 2010. In order to measure and analyze the nCPAP duration, reintubation and nasal condition, Chi-square test and t-test were used. Results: Hypothesis 1, that the duration with nCPAP in the experimental group is longer than that of the control group and hypothesis 2-3, that the rate of reintubation and nasal problems in the experimental group are lower than the control group, were all supported as there were statistically significant differences between two groups. Conclusion: The findings suggest that the Optimal humidification in this study is an efficient intervention because it helps increase the last time of nCPAP with ELBWI and minimize complications. It is expected that Optimal humidification is beneficial and helpful in preventing and caring for respiratory problems in these infants.

항공교통관제규칙과 비행장의 최적규모에 관한 연구 (A Study on the Air Traffic Control Rule and Optimal Capacity of Air Base)

  • 이기현
    • 한국국방경영분석학회지
    • /
    • 제2권1호
    • /
    • pp.177-184
    • /
    • 1976
  • As the organizational size of a military service or business increases and its management becomes complex, the success in its management depends less on static type of management but more on careful, dynamic type of management. In this thesis, an operations research technique is applied to the problems of determining optimal air traffic control rule and of optimal capacity of air base for a military air base. An airport runway is regarded as the service facility in a queueing mechanism, used by landing, low approach, and departing aircraft. The usual order of service gives priority different classes of aircraft such as landings, departures, and low approaches; here service disciplines are considered assigning priorities to different classes of aricraft grouped according to required runway time. Several such priority rules are compared by means of a steady-state queueing model with non-preemptive priorities. From the survey conducted for the thesis development, it was found that the flight pattern such as departure, law approach, and landing within a control zone, follows a Poisson distribution and the service time follows an Erlang distribution. In the problem of choosing the optimal air traffic control rule, the control rule of giving service priority to the aircraft with a minimum average waiting cost, regardless of flight patterns, was found to be the optimal one. Through a simulation with data collected at K-O O Air Base, the optimal take-off interval and the optimal capacity of aircraft to be employed were determined.

  • PDF

CELL STATE SPACE ALGORITHM AND NEURAL NETWORK BASED FUZZY LOGIC CONTROLLER DESIGN

  • Aao;Ding, Gen-Ya
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
    • /
    • pp.972-974
    • /
    • 1993
  • This paper presents a new method to automatically design fuzzy logic controller(FLC). The main problems of designing FLC are how to optimally and automatically select the control rules and the parameters of membership function (MF). Cell state space algorithms (CSS), differential competitive learning (DCL) and multialyer neural network are combined in this paper to solve the problems. When the dynamical model of a control process is known. CSS can be used to generate a group of optimal input output pairs(X, Y) used by a controller. The(X, Y) then can be used to determine the FLC rules by DCL and to determine the optimal parameters of MF by DCL and to determine the optimal parameters of MF by multilayer neural network trained by BP algorithm.

  • PDF