• Title/Summary/Keyword: Costate

Search Result 16, Processing Time 0.03 seconds

Optimal Control of Fuel Cell Hybrid Vehicles (연료전지 하이브리드 자동차의 최적 제어)

  • Zheng, Chun-Hua;Park, Yeong-Il;Lim, Won-Sik;Cha, Suk-Won
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.20 no.2
    • /
    • pp.135-140
    • /
    • 2012
  • Fuel Cell Hybrid Vehicles (FCHVs) have already become the subject of major interest among automotive industry as well as power management strategies of FCHVs, as the fuel economy of FCHVs depends on them. There are several types of power management strategies of FCHVs that have been developed to improve the fuel economy of FCHVs. Among them, optimal control theory is applied to this study. A problem is defined and its objective is to minimize the energy consumption of an FCHV and to find the optimal trajectories of powertrain parameters during driving. Necessary conditions for the optimal control are introduced and the simulation results of constant costate are compared to that of variable costate in order to prove that the variable costate can be replaced with the constant costate.

A study on power control of nuclear reactor using revised two-level costate prediction method (개선된 two-level costate prediction method를 이용한 원자로 출력 제어)

  • 천희영;박귀태;이희정
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1986.10a
    • /
    • pp.244-247
    • /
    • 1986
  • A revised two-level costate prediction algorithm is developed for the optimization of nonlinear nuclear power plant. The algorithm is proved to converge very well, and appears to require substantially small computation time and storage than previous nonlinear optimization algorithm. To cope with unknown external disturbances, we construct a closed loop control system. In order to get a smaller sampling time, this paper proposes the two-level Kalman filter.

  • PDF

On the Optimal Control in the Linear Time Invariant System with non Terminal Boundary Conditions

  • Lee, Bong-Jin
    • Nuclear Engineering and Technology
    • /
    • v.5 no.3
    • /
    • pp.214-222
    • /
    • 1973
  • The linear sequence method is expanded in such a way that it may be applied to the boundary problem with non terminal state condition and its possibility under the existence of a corresponding costate vector P(t) is found. For an application a couple of the concrete physical models are illustrated and examined the effect of the sequence.

  • PDF

The Development of Optimal Power Flow Algorithm Considering Environmental Constants (환경제약을 고려한 최적조류계산 알고리즘의 개발에 관한 연구)

  • Kim, Yong-Ha;Lee, Buhm;Choi, Sang-Kyu;Moon, Hyuc-Ki;Jung, Hyun-Sung
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.51 no.11
    • /
    • pp.551-558
    • /
    • 2002
  • This paper describes an optimal power flow algorithm considering environmental constraints. In this algorithm, we use the costate method, concepts of fictitious generator, variable reduction and effective constraint for the effective linear programming application. Especially we consider environmental constraints. The proposed method is applied to IEEE RTS-30 model system, 24 and 96 Reliability Test Systems and the results shows the effectiveness of the method.

Three-Level Optimal Control of Nonlinear Systems Using Fast Walsh Transform (고속월쉬변환을 이용한 비선형 시스템의 3계층 최적제어)

  • Kim, Tai-Hoon;Shin, Seung-Kwon;Cho, Young-Ho;Lee, Han-Seok;Lee, Jae-Chun;Ahn, Doo-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.50 no.11
    • /
    • pp.505-513
    • /
    • 2001
  • This paper presents the new three-level optimal control scheme for the large scale nonlinear systems, which is based on fast walsh transform. It is well known that optimization for nonlinear systems leads to the resolution of a nonlinear two point boundary value problem which always requires a numerical iterative technique for their solution. However, Three-level costate coordination can avoid two point boundary condition in subsystem. But this method also has the defect that must solve high order differential equation in intermediate level. The proposed method makes use of fast walsh transform, therefore, is simple in computation because of solving algebra equation instead of differential equation.

  • PDF

Computer Simulation of the Computational Method in Fuel Optimal Control

  • Lee, B.J.
    • Nuclear Engineering and Technology
    • /
    • v.4 no.1
    • /
    • pp.11-22
    • /
    • 1972
  • Determination of a two-point boundary value problem is the key of finding the control function u(t) with the application of the fundamental idea of Minimum principle. The late development shows the discovery of the initial costate vector for the solution of a two-point value problem. As a new technique of determining the optimal control function, Newton's Sequential method is examined about a number of engineering problems and found available.

  • PDF

A study on the hierachical optimization methods for the optimal control of nonlinear systems (계층 최적화 기법에 의한 비선형 계통의 최적 제어에 관한 연구)

  • Chun, Hee-Young;Park, Gwi-Tae;Lee, Jong-Ryeol;Lee, Hee-Jeung
    • Proceedings of the KIEE Conference
    • /
    • 1987.07a
    • /
    • pp.129-134
    • /
    • 1987
  • In this paper, "Revised two-level costate prediction method" is developed to optimize the quadratic performance of a class of nonlinear dynamic systems. To show the merit, of this algorithm, the proposed algorithm is compared With "The new prediction method" and "Two-level costate prediction method". Advantages of this algorithm are illustrated by applying it to three examples, turbine generator system, fermentation Process, power control system in nuclear reactor.

  • PDF

A Study of the Dynamic Structure of Environmental Tax for Pollution Abatement (공해감소를 위한 환경세의 동태적 구조에 관한 연구)

  • Lee, Dug Man
    • Environmental and Resource Economics Review
    • /
    • v.11 no.2
    • /
    • pp.195-210
    • /
    • 2002
  • In this paper, we present a nonrenewable resource model including environmental pollution stock as a state variable to analyze the dynamic structure of environmental tax. Based on the optimality conditions of our model, we showed that the optimal time path of the shadow cost for environmental pollution stock is the same as that of the costate variable for environmental pollution stock. We did this by applying the theorem, Continuous Dependence on Initial Conditions (Coddington and Levinston, 1985, pp. 22~27), to the optimal control problem. Thus, this result provides a theoretical basis to determine the magnitude of environmental tax to be imposed over time. In addition, we also identified that the costate variable for environmental pollution stock is solely due to the disutility effect.

  • PDF

The Structure of Optimal Tariff Levied on Non-Renewable Resource : A Dynamic Approach (비재생자원 수입관세의 동태적 구조에 관한 연구)

  • Lee, Dug Man;Lee, Young Hwan
    • Environmental and Resource Economics Review
    • /
    • v.14 no.1
    • /
    • pp.221-235
    • /
    • 2005
  • In this paper, we analyzed the dynamic structure of optimal tariff levied on importing non-renewable resources such as petroleum, iron, coal, etc. According to the previous literature that have studied this objective, the time inconsistent open loop tariff has been suggested to be imposed in order to improve the welfare level of importing country. We set up the efficient model to identify how to impose the optimal tariff over time. Based on this model, we have found that the previous literature ignored that the costate variable for the stock for non-renewable resource decomposed between the scarcity effect and the cost effect. On the basis of the role of costate variable, we, however, have found that the proposition of the previous literature has led into errors. Hence, we suggest that the dynamically consistent open loop tariff for non-renewable resources would improve the welfare level of importing country.

  • PDF