• Title/Summary/Keyword: Dynamic programming algorithm

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Control of pH Neutralization Process using Simulation Based Dynamic Programming in Simulation and Experiment (ICCAS 2004)

  • Kim, Dong-Kyu;Lee, Kwang-Soon;Yang, Dae-Ryook
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.620-626
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    • 2004
  • For general nonlinear processes, it is difficult to control with a linear model-based control method and nonlinear controls are considered. Among the numerous approaches suggested, the most rigorous approach is to use dynamic optimization. Many general engineering problems like control, scheduling, planning etc. are expressed by functional optimization problem and most of them can be changed into dynamic programming (DP) problems. However the DP problems are used in just few cases because as the size of the problem grows, the dynamic programming approach is suffered from the burden of calculation which is called as 'curse of dimensionality'. In order to avoid this problem, the Neuro-Dynamic Programming (NDP) approach is proposed by Bertsekas and Tsitsiklis (1996). To get the solution of seriously nonlinear process control, the interest in NDP approach is enlarged and NDP algorithm is applied to diverse areas such as retailing, finance, inventory management, communication networks, etc. and it has been extended to chemical engineering parts. In the NDP approach, we select the optimal control input policy to minimize the value of cost which is calculated by the sum of current stage cost and future stages cost starting from the next state. The cost value is related with a weight square sum of error and input movement. During the calculation of optimal input policy, if the approximate cost function by using simulation data is utilized with Bellman iteration, the burden of calculation can be relieved and the curse of dimensionality problem of DP can be overcome. It is very important issue how to construct the cost-to-go function which has a good approximate performance. The neural network is one of the eager learning methods and it works as a global approximator to cost-to-go function. In this algorithm, the training of neural network is important and difficult part, and it gives significant effect on the performance of control. To avoid the difficulty in neural network training, the lazy learning method like k-nearest neighbor method can be exploited. The training is unnecessary for this method but requires more computation time and greater data storage. The pH neutralization process has long been taken as a representative benchmark problem of nonlin ar chemical process control due to its nonlinearity and time-varying nature. In this study, the NDP algorithm was applied to pH neutralization process. At first, the pH neutralization process control to use NDP algorithm was performed through simulations with various approximators. The global and local approximators are used for NDP calculation. After that, the verification of NDP in real system was made by pH neutralization experiment. The control results by NDP algorithm was compared with those by the PI controller which is traditionally used, in both simulations and experiments. From the comparison of results, the control by NDP algorithm showed faster and better control performance than PI controller. In addition to that, the control by NDP algorithm showed the good results when it applied to the cases with disturbances and multiple set point changes.

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Fast Disparity Estimation Method Considering Temporal and Spatial Redundancy Based on a Dynamic Programming (시.공간 중복성을 고려한 다이내믹 프로그래밍 기반의 고속 변이 추정 기법)

  • Yun, Jung-Hwan;Bae, Byung-Kyu;Park, Se-Hwan;Song, Hyok;Kim, Dong-Wook;Yoo, Ji-Sang
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.10C
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    • pp.787-797
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    • 2008
  • In this paper, we propose a fast disparity estimation method considering temporal and spatial redundancy based on a dynamic programming for stereo matching. For the first step, the dynamic programming is performed to estimate disparity vectors with correlation between neighboring pixels in an image. Next, we efficiently compensate regions, which disparity vectors are not allocated, with neighboring disparity vectors assuming that disparity vectors in same object are quite similar. Moreover, in case of video sequence, we can decrease a complexity with temporal redundancy between neighboring frames. For performance comparison, we generate an intermediate-view image using the estimated disparity vector. Test results show that the proposed algorithm gives $0.8{\sim}2.4dB$-increased PSNR(peak signal to noise ratio) compared to a conventional block matching algorithm, and the proposed algorithm also gives approximately 0.1dB-increased PSNR and $48{\sim}68%$-lower complexity compared to the disparity estimation method based on general dynamic programming.

Control of pH Neutralization Process using Simulation Based Dynamic Programming (ICCAS 2003)

  • Kim, Dong-Kyu;Yang, Dae-Ryook
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.2617-2622
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    • 2003
  • The pH neutralization process has long been taken as a representative benchmark problem of nonlinear chemical process control due to its nonlinearity and time-varying nature. For general nonlinear processes, it is difficult to control with a linear model-based control method so nonlinear controls must be considered. Among the numerous approaches suggested, the most rigorous approach is the dynamic optimization. However, as the size of the problem grows, the dynamic programming approach is suffered from the curse of dimensionality. In order to avoid this problem, the Neuro-Dynamic Programming (NDP) approach was proposed by Bertsekas and Tsitsiklis (1996). The NDP approach is to utilize all the data collected to generate an approximation of optimal cost-to-go function which was used to find the optimal input movement in real time control. The approximation could be any type of function such as polynomials, neural networks and etc. In this study, an algorithm using NDP approach was applied to a pH neutralization process to investigate the feasibility of the NDP algorithm and to deepen the understanding of the basic characteristics of this algorithm. As the global approximator, the neural network which requires training and k-nearest neighbor method which requires querying instead of training are investigated. The global approximator requires optimal control strategy. If the optimal control strategy is not available, suboptimal control strategy can be used even though the laborious Bellman iterations are necessary. For pH neutralization process it is rather easy to devise an optimal control strategy. Thus, we used an optimal control strategy and did not perform the Bellman iteration. Also, the effects of constraints on control moves are studied. From the simulations, the NDP method outperforms the conventional PID control.

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Impulse Noise Cancelling of Signals Using a Dynamic Programming Algorithm (동적 프로그래밍 알고리즘에 의한 신호의 임펄스 잡음제거)

  • Shin, Hyun-Ik;Lee, Kuhn-Il
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1587-1590
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    • 1987
  • A non-linear filtering for the noise cancelling of signals degraded by random impulsive noise is proposed. The non-linear algorithm is based on a criterion for the overall smoothness of the signal. The smoothness criterion is optimized by a dynamic programming strategy. It performs considerably better than a LDNF(low-distortion nonlinear filter), although being comparable in computing time.

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Global Path Planning Algorithm Using a Skeleton Map and Dynamic Programming (골격지도와 동적 계획법을 이용한 전역경로계획 알고리즘)

  • Yang, Dong-Hoon;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2790-2792
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    • 2005
  • This paper proposes a path-planning algorithm that enables a robot to reach the goal position while avoiding obstacles. The proposed method, which is based on dynamic programming, finds an optimum path to follow using a modified skeleton map method which exploits information on obstacle positions. Simulation results show the feasibility of the proposed method.

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A Study of Buffer Allocation in FMS based on Deadlock and Workload (Deadlock과 Workload에 따른 FMS의 버퍼 Capacity 결정에 관한 연구)

  • 김경섭;이정표
    • Journal of the Korea Society for Simulation
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    • v.9 no.2
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    • pp.63-73
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    • 2000
  • Due to the complexity of part flow and limited resources, FMS(Flexible Manufacturing System) develops blocking, starvation and deadlock problems, which reduce its performance. In order to minimize such problems buffers are imposed between workstations of the manufacturing lines. In this paper, we are concerned with finding the optimal buffer allocation with regard to maximizing system throughput in limited total buffer capacity situation of FMS. A dynamic programming algorithm to solve the buffer allocation problem is proposed. Computer simulation using Arena is experimented to show the validation of the proposed algorithm.

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Efficient Content Adaptation Based on Dynamic Programming

  • Thang, Truong Cong;Ro, Yong Man
    • Proceedings of the Korea Multimedia Society Conference
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    • 2004.05a
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    • pp.326-329
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    • 2004
  • Content adaptation is an effective solution to support the quality of service over multimedia services over heterogeneous environments. This paper deals with the accuracy and the real-time requirement, two important issues in making decision on content adaptation. From our previous problem formulation, we propose an optimal algorithm and a fast approximation based on the Viterbi algorithm of dynamic programming. Through extensive experiments, we show that the proposed algorithms can enable accurate adaptation decisions, and especially they can support the real-time processing.

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Direct Load Control Using Priority Based Dynamic Programming (우선순위기반 동적 프로그래밍을 이용한 직접부하제어)

  • Kim, Tae-Hyun;Lee, Seung-Youn;Shin, Myong-Chul;Cha, Jae-Sang;Suh, Hee-Seok;Kim, Jong-Boo;Choi, Sang-Yul
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.6
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    • pp.78-83
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    • 2004
  • Currently used DLC(Direct Load Control) algorithm is only focused on ON/OFF load control not concerning about reliving participated customer's inconvenience and load priority. Therefore, that is a major obstacle to attract customer participating in demand response program. To overcome the above defects, the authors represent direct load control algorithm using priority based dynamic programming. the proposed algorithm is that participant customer send E-mail to DLC center about priority of load before executing DLC, then DLC algorithm decide which load to be OFF by using priority and off time constraint of the load. By using dynamic programming based on the order of priority for DLC algorithm it is possible to maximize participating customer's satisfaction and it will help to attract more customer's participating in demand response program.

Optimal path planing of Indoor Automatic Robot using Dynamic Programming (동적계획법을 이용한 실내 자율이동 로봇의 최적 경로 계획)

  • Ko, Su-Hong;Gim, Seong-Chan;Choi, Jong-Young;Kim, Jong-Man;Kim, Hyong-Suk
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.551-553
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    • 2006
  • An autonomous navigation technology for the mobile robot is investigated in this paper. The proposed robot path planning algorithm employs the dynamic programming to find the optimal path. The algorithm finds the global optimal path through the local computation on the environmental map. Since the robot computes the new path at every point, it can avoid the obstacle successfully during the navigation. The experimental results of the robot navigation are included in this paper.

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Pattern Classification with the Analog Cellular Parallel Processing Networks (아날로그 셀룰라 병렬 처리 회로망(CPPN)을 이용한 Pattern Classification)

  • 오태완;이혜정;김형석
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.2367-2370
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    • 2003
  • A fast pattern classification algorithm with Cellular Parallel Processing Network-based dynamic programming is proposed. The Cellular Parallel Processing Networks is an analog parallel processing architecture and the dynamic programming is an efficient computation algorithm for optimization problem. Combining merits of these two technologies, fast Pattern classification with optimization is formed. On such CPPN-based dynamic programming, if exemplars and test patterns are presented as the goals and the start positions, respectively, the optimal paths from test patterns to their closest exemplars are found. Such paths are utilized as aggregating keys for the classification. The pattern classification is performed well regardless of degree of the nonlinearity in class borders.

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