• Title/Summary/Keyword: Nonlinear interconnected systems

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The design of robust decentralized adaptive controller of interconnected system (연계시스템의 강건한 분할적응제어기의 설계)

  • 홍선학;임화영
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.313-316
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    • 1990
  • This paper proposes the design of the decentralized adaptive controllers which are an arbitrary interconnection of sub-systems with unknown parameters, nonlinear ities and bounded disturbances. In order to exponentially converge the state and parameter errors, robust decentralized adaptive controllers are developed for stabilization and tracking the parameters. In the simulation studies of the decentralized adaptive control of a two-area interconnected power system, the effectiveness of the proposed adaptive schemes is demonstrated.

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Decentralized Dynamic Output Feedback Controller for Discrete-time Nonlinear Interconnected Systems via T-S Fuzzy Models (이산 시간 비선형 상호 결합 시스템의 T-S 퍼지 모델을 위한 분산 동적 출력 궤한 제어기 설계)

  • Gu, Geun-Beom;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.374-377
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    • 2007
  • 본 논문은 Takagi-Sugeno (T-S) 퍼지 모델을 이용하여 이산 시간에서의 비선형 상호 결합 시스템에 대한 분산 동적 출력 궤한 제어기를 제시한다. 이산시간 비선형 상호 결합 시스템의 각 하위 시스템에 대한 T-S 퍼지 모델링을 한 후, 각각에 대해 동적 출력 궤한 제어기를 설계한다. 제어가 된 폐루프 하위 시스템들로 전체 시스템의 평형점이 안정화되는 선형 행렬 부등식 (LMI)을 구하고, 부등식을 이용하여 동적 출력 궤한 제어기의 이득값을 구한다. 마지막으로 모의실험을 통해 분산 동적 출력 궤한 제어기의 효용성을 확인한다.

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Robust and Non-fragile $H_{\infty}$ Decentralized Fuzzy Model Control Method for Nonlinear Interconnected System with Time Delay (시간지연을 가지는 비선형 상호연결시스템의 견실비약성 $H_{\infty}$ 분산 퍼지모델 제어기법)

  • Kim, Joon-Ki;Yang, Seung-Hyeop;Kwon, Yeong-Sin;Bang, Kyung-Ho;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.47 no.6
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    • pp.64-72
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    • 2010
  • In general, due to the interactions among subsystems, it is difficult to design an decentralized controller for nonlinear interconnected systems. In this study, the model of nonlinear interconnected systems is studied via decentralized fuzzy control method with time delay and polytopic uncertainty. First, the nonlinear interconnected system is represented by an equivalent Takagi-Sugeno type fuzzy model. And the represented model can be rewritten as Parameterized Linear Matrix Inequalities(PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting fuzzy controller guarantees the asymptotic stability and disturbance attenuation of the closed-loop system in spite of controller gain variations within a resulted polytopic region by example and simulations.

Approximation-Based Decentralized Adaptive Output-Feedback Control for Nonlinear Interconnected Time-Delay Systems (비선형 상호 연결된 시간 지연 시스템을 위한 함수 예측 기법에 기반한 분산 적응 출력 궤환 제어)

  • Yoo, Sung-Jin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.2
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    • pp.174-180
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    • 2012
  • This paper proposes a decentralized adaptive output-feedback controller design for nonlinear interconnected systems with unknown time delays. The interaction terms with unknown delays are related to all states of subsystems. The time-delayed functions are compensated by using appropriate Lyapunov-Krasovskii functionals and function approximation technique. The observer dynamic surface design technique is employed to design the proposed memoryless local controller for each subsystem. In addition, we prove that all signals in the closed-loop system are semiglobally uniformly bounded and control errors converge to an adjustable neighborhood of the origin.

On the Control of Re-Structured Electric Power Systems

  • Feliachi Ali
    • International Journal of Control, Automation, and Systems
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    • v.3 no.spc2
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    • pp.363-375
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    • 2005
  • The paper describes some of the challenges that face the control of nonlinear interconnected power systems. The challenges include the selection of appropriate control and information structures that could range from a completely decentralized to a fully centralized structure. Once a structure is proven to be feasible, the effectiveness of control signals needs to be assessed. Analytical tools are derived for this purpose in the first part of the paper, and they are illustrated with a case study that involves the design of a damping decentralized controller using a Thyristor Controlled Series Compensation device. The second part of the paper deals with the load following and tracking problem through automatic generation control for a system that has been re-structured or deregulated. This problem can be solved using a completely decentralized scheme. It is solved here using fuzzy rules and with an emphasis on compliance with NERC's standards and reduction of wear and tear of the equipment. It is illustrated with a test system that has three interconnected control areas. Finally, comments on the economics of control and the author's vision are presented.

Decentralized Nonlinear Voltage Control of Multimachine Power Systems with Non linear Interconnections (비선형 상호작용을 갖는 전력계통의 비선형 분산 전압제어)

  • Lee, Jae-Won;Yoon, Tae-Woong;Kim, Kwang-Youn
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.47-50
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    • 2003
  • For large-scale systems which are composed of interconnections of many lower-dimensional subsystems, decentralized control is preferable since it can alleviate the computational burden, avoid communication between different subsystems, and make the control more feasible and simpler. A power system is such a large-scale system where generators are interconnected through transmission lines. Decentralized control is therefore considered for power systems. In this paper, a robust decentralized excitation control scheme for interactions is proposed to enhance the transient stability of multimachine power systems. First we employ a DFL(Direct Feedback Linearization) compensator to rancel most of the nonlinearities; however, the resulting model still contains nonlinear interconnections. Therefore, we design a robust controller in order to deal with Interconnection terms. In this procedure, an upper bound of interconnection terms is estimated by an estimator. The resulting adaptive scheme guarantees the uniform ultimate boundedness of the closed-loop dynamic systems in the presence of the uncertainties.

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Design of Robust $H_\infty$ Control for Interconnected Systems: A Homotopy Method

  • Chen Ning;Ikeda Masao;Gui Weihua
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.143-151
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    • 2005
  • This paper considers a robust decentralized $H_\infty$ control problem for uncertain large-scale interconnected systems. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in subsystems. A design method based on the bounded real lemma is developed for a dynamic output feedback controller, which is reduced to a feasibility problem for a nonlinear matrix inequality (NMI). It is proposed to solve the NMI iteratively by the idea of homotopy, where some of the variables are fixed alternately on each iteration to reduce the NMI to a linear matrix inequality (LMI). A decentralized controller for the nominal system is computed first by imposing structural constraints on the coefficient matrices gradually. Then, the decentralized controller is modified again gradually to cope with the uncertainties. A given example shows the efficiency of this method.

Decentralized Controller Design for Nonlinear Systems using LPV technique

  • Lee, Sangmoon;Kim, Sungjin;Sangchul Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.68.5-68
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    • 2001
  • This paper investigates the problem of linear parameter-dependent output feedback controllers design for interconnected linear parameter-varying(LPV) plant. By using a parameter-independent common Lyapunov function, sucient conditions for solving the problems are established, which allow us to design linear parameter dependent decentralized controllers in terms of scaled H-infinite control problems for related linear systems without interconnections. The solvability conditions are expressed in terms of finite-dimensional linear matrix inequalities(LMI´s) evaluated at the extreme points of the admissible parameter set.

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Decentralized control of interconnected nonlinear systems using a neural coordinator (신경회로망 조정기를 이용한 상호 연결된 비선형 시스템의 비집중 제어)

  • 정희태;전기준
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.208-216
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    • 1996
  • This paper presents a decentralized control scheme for interconnected systems with unmodeled nonlinearities and interactions using a neural coordinator. The interactions due to the interconnection and the unmodeled nonlinearity associated with each subsystem are represented by the deviations from linearized states of decomposed subsystems. the decentralized controller is composed of local controllers and a neural coordinator. The local controller for each subsystem is derived from linearized local system parameters y linear optimal control theory. the neural cooridnator generates a corrective control signal to cancel the effect of deviation sthrough the backpropagation learning with the rrors obtained form the difference of the local system outputs and reference model outputs. the reference model consists of the part of local system without deviations. The effectiveness of the proposed control scheme is demonstrated by simulation studies.

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NNDI decentralized evolved intelligent stabilization of large-scale systems

  • Chen, Z.Y.;Wang, Ruei-Yuan;Jiang, Rong;Chen, Timothy
    • Smart Structures and Systems
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    • v.30 no.1
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    • pp.1-15
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    • 2022
  • This article focuses on stability analysis and fuzzy controller synthesis for large neural network (NN) systems consisting of several interconnected subsystems represented by the NN model. Advanced and fuzzy NN differential inclusion (NNDI) for stability based on the developed algorithm with H infinity can be designed based on the evolved biological design. This representation is constructed using sector linearity for NN models. Sector linearity transforms a non-linear model into a linear model based on proposed operations. New sufficient conditions are realized in the form of LMI (linear matrix inequalities) to ensure the asymptotic stability of the trans-Lyapunov function. This transforms the nonlinear model into a linear model based on multiple rules. At last, a numerical case study with simulations is derived as illustration to prove its feasibility in real nonlinear structures.