• Title/Summary/Keyword: nonlinear large-scale systems

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

  • Shin, Seung-Kwon;Cho, Young-Ho;Lim, Yun-Sic;Sim, Jae-Sun;Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.850-852
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    • 1999
  • This paper presents a new algorithm of three-level optimal control for non-linear large scale systems using fast walsh transform. Since the solution is obtained through the information exchange of coefficient vectors induced walsh transform of all levels, this algorithm is quick and convenient. The validity of the proposed method is checked in the simulation.

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Decentralized Stabilization of a Class of Large Scale Discrete-time Systems Subject to System Parameter Uncertainties (시스템파라미터가 불확실한 대규모 선형 이산시간 시스템의 비집중 안정화에 관한 연구)

  • Lyou, Joon;Yoon, Myung-Joong;Chung, Myung-Jin;Bien, Zeungnam
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.34 no.3
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    • pp.89-96
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    • 1985
  • This paper presents a decentralized adaptive scheme to stabilize a class of large-scale discrete-time linear systems subject to system parameter uncertainties. The scheme combines an adaptive nonlinear feedback control for compensating some effects by unknown system parameters and the exact model-based linear feedback control for overriding the unfavorable effects by interconnections. A condition of stability is derived, under which the overall adaptive system is assured to be globally stable. Also, a numerical example is provided to illustrate the feasibility of the scheme.

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Stability Region Evaluation of Control Inputs by Fuzzy-Ttype Lyapunov Function for Nonlinear Control System

  • Kuwata, Akihiko;Kawamoto, Shunji;Kanetaka, Iwao;Takino, Katsuhiko;Ishigamr, Atsushi;Taniguchi, Tsunco;Tanaka, Hiroyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.416-421
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    • 1994
  • Electric Power system is a large scale nonlinear control one. Therefore, nonlinear control is desirable for the stabilizing, and it is thought that to establish an analytical method for optimal control inputs of AVR(automatic voltage regulator) and GOV(governor) is an important subject. In this paper, as a simple case, one-machine infinite-bus electric power model system with GOV is treated under the three kinds of control inputs; (i) fuzzy control input, (ii) linear control input and (iii) no control input. Next, the stability for each case is analyzed, and the three-dimensional stability regions and control responses are evaluated and compared. Finally, it is concluded that the linear control input does not necessarily give a good region and response, and the fuzzy one is better than others.

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Optimal design of double layer barrel vaults considering nonlinear behavior

  • Gholizadeh, Saeed;Gheyratmand, Changiz;Davoudi, Hamed
    • Structural Engineering and Mechanics
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    • v.58 no.6
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    • pp.1109-1126
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    • 2016
  • The present paper focuses on size optimization of double layer barrel vaults considering nonlinear behavior. In order to tackle the optimization problem an improved colliding bodies optimization (ICBO) algorithm is proposed. The important task that should be achieved before optimization of structural systems is to determine the best form having the least cost. In this study, an attempt is done to find the best form then it is optimized considering linear and non-linear behaviors. In the optimization process based on nonlinear behavior, the geometrical and material nonlinearity effects are included. A large-scale double layer barrel vault is presented as the numerical example of this study and the obtained results indicate that the proposed ICBO has better computational performance compared with other algorithms.

Sensitivity of Numerical Solutions to Time Step in a Nonlinear Atmospheric Model (비선형 대기 모형에서 수치 해의 시간 간격 민감도)

  • Lee, Hyunho;Baik, Jong-Jin;Han, Ji-Young
    • Journal of the Korean earth science society
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    • v.34 no.1
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    • pp.51-58
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    • 2013
  • An appropriate determination of time step is one of the important problems in atmospheric modeling. In this study, we investigate the sensitivity of numerical solutions to time step in a nonlinear atmospheric model. For this purpose, a simple nondimensional dynamical model is employed, and numerical experiments are performed with various time steps and nonlinearity factors. Results show that numerical solutions are not sensitive to time step when the nonlinearity factor is not influentially large and truncation error is negligible. On the other hand, when the nonlinearity factor is large (i.e., in a highly nonlinear regime), numerical solutions are found to be sensitive to time step. In this situation, smaller time step increases the intensity of the spatial filter, which makes small-scale phenomena weaken. This conflicts with the fact that smaller time step generally results in more accurate numerical solutions owing to reduced truncation error. This conflict is inevitable because the spatial filter is necessary to stabilize the numerical solutions of the nonlinear model.

Logic circuit design for high-speed computing of dynamic response in real-time hybrid simulation using FPGA-based system

  • Igarashi, Akira
    • Smart Structures and Systems
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    • v.14 no.6
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    • pp.1131-1150
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    • 2014
  • One of the issues in extending the range of applicable problems of real-time hybrid simulation is the computation speed of the simulator when large-scale computational models with a large number of DOF are used. In this study, functionality of real-time dynamic simulation of MDOF systems is achieved by creating a logic circuit that performs the step-by-step numerical time integration of the equations of motion of the system. The designed logic circuit can be implemented to an FPGA-based system; FPGA (Field Programmable Gate Array) allows large-scale parallel computing by implementing a number of arithmetic operators within the device. The operator splitting method is used as the numerical time integration scheme. The logic circuit consists of blocks of circuits that perform numerical arithmetic operations that appear in the integration scheme, including addition and multiplication of floating-point numbers, registers to store the intermediate data, and data busses connecting these elements to transmit various information including the floating-point numerical data among them. Case study on several types of linear and nonlinear MDOF system models shows that use of resource sharing in logic synthesis is crucial for effective application of FPGA to real-time dynamic simulation of structural response with time step interval of 1 ms.

A MODEL-ORDER REDUCTION METHOD BASED ON KRYLOV SUBSPACES FOR MIMO BILINEAR DYNAMICAL SYSTEMS

  • Lin, Yiqin;Bao, Liang;Wei, Yimin
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.293-304
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    • 2007
  • In this paper, we present a Krylov subspace based projection method for reduced-order modeling of large scale bilinear multi-input multi-output (MIMO) systems. The reduced-order bilinear system is constructed in such a way that it can match a desired number of moments of multi-variable transfer functions corresponding to the kernels of Volterra series representation of the original system. Numerical examples report the effectiveness of this method.

Blind downlink channel estimation for TDD-based multiuser massive MIMO in the presence of nonlinear HPA

  • Pasangi, Parisa;Atashbar, Mahmoud;Feghhi, Mahmood Mohassel
    • ETRI Journal
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    • v.41 no.4
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    • pp.426-436
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    • 2019
  • In time division duplex (TDD)-based multiuser massive multiple input multiple output (MIMO) systems, the uplink channel is estimated and the results are used in downlink for signal detection. Owing to noisy uplink channel estimation, the downlink channel should also be estimated for accurate signal detection. Therefore, recently, a blind method was developed, which assumes the use of a linear high-power amplifier (HPA) in the base station (BS). In this study, we extend this method to a scenario with a nonlinear HPA in the BS, where the Bussgang decomposition is used for HPA modeling. In the proposed method, the average power of the received signal for each user is a function of channel gain, large-scale fading, and nonlinear distortion variance. Therefore, the channel gain is estimated, which is required for signal detection. The performance of the proposed method is analyzed theoretically. The simulation results show superior performance of the proposed method compared to that of the other methods in the literature.

PARALLEL OPTIMAL CONTROL WITH MULTIPLE SHOOTING, CONSTRAINTS AGGREGATION AND ADJOINT METHODS

  • Jeon, Moon-Gu
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.215-229
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    • 2005
  • In this paper, constraint aggregation is combined with the adjoint and multiple shooting strategies for optimal control of differential algebraic equations (DAE) systems. The approach retains the inherent parallelism of the conventional multiple shooting method, while also being much more efficient for large scale problems. Constraint aggregation is employed to reduce the number of nonlinear continuity constraints in each multiple shooting interval, and its derivatives are computed by the adjoint DAE solver DASPKADJOINT together with ADIFOR and TAMC, the automatic differentiation software for forward and reverse mode, respectively. Numerical experiments demonstrate the effectiveness of the approach.

Modified algorithmic LMI design with applications in aerospace vehicles

  • Chen, Tim;Gu, Anzaldi;Hsieh, Chiayen;Xu, Giustolisi;Wang, Cheng;Chen, C.Y.J.
    • Advances in aircraft and spacecraft science
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    • v.8 no.1
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    • pp.69-85
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    • 2021
  • A modified fuzzy mechanical control of large-scale multiple time delayed dynamic systems in states is considered in this paper. To do this, at the first level, a two-step strategy is proposed to divide a large system into several interconnected subsystems. As a modified fuzzy control command, the next was received as feedback theory based on the energetic function and the LMI optimal stability criteria which allow researchers to solve this problem and have the whole system in asymptotically stability. Modeling the Fisher equation and the temperature gauge for high-speed aircraft and spacecraft shows that the calculation method is efficient.