• Title/Summary/Keyword: 선형행렬 부등식

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Fuzzy Dynamic Output Ffeedback Controller for Nonlinear Systems with Missing Measurements (측정 실패가 존재하는 비선형 시스템에 대한 동적 출력 궤환 퍼지 제어기 설계)

  • Koo, Geun-Bum;Park, Jin-Bae;Moon, Hyun-Su;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1741_1742
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    • 2009
  • 본 논문은 측정 실패가 존재하는 비선형 시스템에 대한 동적 출력 궤환 퍼지 제어기의 설계에 대해 연구한다. 비선형 시스템을 Takagi-Sugeno (T-S) 퍼지 모델 기법을 이용하여 퍼지 시스템으로 모델링하고, 이를 바탕으로 동적 출력 궤환 퍼지 제어기를 설계한다. 폐루프 시스템의 안정도 조건을 선형 행렬 부등식 (LMI)로 나타낸다. 그리고 모의실험을 통해 제안된 제어기의 성능을 파악한다.

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Robust Observer for Nonlinear Systems with Delayed Output (지연된 출력을 갖는 비선형 시스템의 강인 관측기)

  • Lee, Sungryul
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.253-257
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    • 2013
  • This paper proposes the robust observer design for nonlinear systems with delayed output and external disturbance. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the nonlinear error dynamics with time delay can be transformed into the linear one with time delay. Sufficient conditions for existence of a robust observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

An Output Feedback $H_\infty$ Controller Design for Linear Systems with Commensurate Time Delay (커멘슈레이트 시간지연을 갖는 선형시스템의 출력궤환 $H_\infty$ 제어기 설계)

  • Yoo, Seog-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.4
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    • pp.1-10
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    • 2000
  • This paper deals with an H$_{\infty}$ output feedback control problem for linear systems with commensurate time delay in both state and input variables. The proposed output feedback controller also has commensurate time delay terms in the controller state. The controller can be synthesized based on the solution of the linear matrix inequalities(LMI) which can be easily solved using the convex optimization method. In order to demonstrate the efficacy of the proposed method, numerical examples are presented.

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A Balanced Model Reduction for Uncertain Nonlinear Systems (불확실한 비선형 시스템의 균형화된 모델축소)

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.2
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    • pp.144-149
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    • 2006
  • This paper deals with a balanced model reduction for uncertain nonlinear systems via T-S fuzzy approach. We define a generalized controllability/observability gramian and obtain a balanced state space model using generalized gramians which can be obtained from solutions of linear matrix inequalities. We present a balanced model reduction scheme by truncating not only state variables but also uncertain elements. An upper bound of the model reduction error will also be suggested. In order to demonstrate the efficacy of our method, a numerical example will be presented.

Decentralised Static Output Feedback Controller Design for Continuous-time and Discrete-time Nonlinear Interconnected Systems (연속 시간과 이산 시간 비선형 상호 결합 시스템을 위한 분산 정적 출력 궤한 제어기 설계)

  • Koo, Geun-Bum;Joo, Young-Hoon;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.292-293
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    • 2007
  • 본 논문은 연속 시간과 이산 시간 비선형 상호 결합 시스템에 대한 분산 정적 출력 궤한 제어기의 설계에 대해 연구한다. 먼저 퍼지 모델 기법을 이용하여 비선형 상호 결합 시스템을 Takagi-Sugeno (T-S)퍼지 모델로 모델링한다. 각각의 하위 시스템에 대한 정적 출력 궤한 제어기를 병렬 분산 보상(PDC)기법을 이용하여 구한다. 선형 행렬 부등식(LMI)을 통하여 하위 시스템의 안정화를 위한 이득값을 구한다. 이득값을 통하여 하위 시스템들이 안정화되고 그를 통해 전체 상호 결합 시스템이 안정화됨을 모의실험을 통하여 증명한다.

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Optimum Operation of Power System Using Fuzzy Linear Programming (퍼지 선형계획법을 적용한 전력계통의 최적운용에 관한 연구)

  • 박성대;정재길;조양행
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.8 no.1
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    • pp.37-45
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    • 1994
  • A method of optimal active and reactive power control for economic operation in electrical power system is presented in this paper. The major features and techniques of this paper are as follows: 1) The method presented for obtaining the equivalent active power balance equation applying the sparse Jacobian matrix of power flow equation instead of using B constant as active power Balance equation considering transmission loss, and for determining directly optimal active power allocation without repeating calculations. 2) More reasonable and economic profit by minimizing total fuel cost of thermal power plants instead of using transmission loss as objective function of reactive Power control can be achieved. 3) Particularly in reactive power control, computing time can be considerably reduced by using Fuzzy Linear Programming instead of using conventional Linear Programming.

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Design of an observer-based decentralized fuzzy controller for discrete-time interconnected fuzzy systems (이산시간 상호결합 퍼지 시스템을 위한 관측기 기반 분산 퍼지 제어기 설계)

  • Koo, Geun Bum;Joo, Young Hoon;Park, Jin Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.5
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    • pp.451-456
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    • 2015
  • In this paper, an observer-based decentralized fuzzy controller is designed for discrete-time interconnected fuzzy systems. Based on the fuzzy subsystem of the interconnected fuzzy system, the observer-based decentralized fuzzy controller is considered. By using the fuzzy subsystem and the observer-based decentralized fuzzy controller, the closed-loop system is obtained. From the closed-loop system, the stability condition with the maximum interconnection bound is developed, and its sufficient condition is represented as the linear matrix inequality (LMI). Finally, the numerical example is provided to verify the effectiveness of the proposed technique.

Stability and Complexity of Static Output Feedback Controllers (고정형 출력 궤환 제어기의 안정성과 복잡도)

  • Yang, Janghoon
    • Journal of Advanced Navigation Technology
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    • v.22 no.4
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    • pp.325-335
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    • 2018
  • Limited access to state information in the design of a feedback controller has brought out a significant amount of research on the design of an output feedback controller. Despite its long endeavor to find an optimal one, it is still an open problem. Thus, we focus on the comparison of existing states of arts in the design of a static output feedback controller in terms of stability and complexity so as to find further research direction in this field. To this end, we present eight design methods in a unified presentation. We also provide the complete description of algorithms which can be applicable to any system configuration. Stability performance and complexity in terms of processing time are evaluated through numerical simulations. Simulation results show that the algebraic controller (AC) algorithm [20] has the smallest complexity while the scaling linear matrix inequality (SLMI) algorithm [18] seems to achieve the best stability in most cases with much higher complexity.

Observer-based Intelligent Control of Nonlinear Networked Control Systems with Packet Loss for Wireless Sensor Network (무선 센서 네트워크를 위한 패킷 손실을 포함한 비선형 네트워크 제어 시스템의 관측기 기반 지능 제어기 설계)

  • Ra, In-Ho;Kim, Se-Jin;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.2
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    • pp.185-190
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    • 2009
  • In this paper, an observer-based intelligent controller for the nonlinear networked control systems with packet loss is proposed for wireless sensor network. For the intelligent control of the nonlinear system, it uses the fuzzy system with Takagi-Sugeno (T-S) fuzzy model. The observer is designed for the fuzzy networked control system, and the output feedback controller is proposed for the stability of estimates and errors. The stability condition of the closed-loop system with the proposed controller is represented to the linear matrix inequality (LMI) form, and the observer and control gain are obtained by LMI. An example is given to show the verification discussed throughout the paper.

Delay-dependent Fuzzy H Controller Design for Delayed Fuzzy Dynamic Systems (시간지연 퍼지 시스템의 지연 종속 퍼지 H제어기 설계)

  • Lee, Kap-Rai
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.571-576
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    • 2004
  • This paper presents a delay dependent fuzzy $H_{\infty}$ controller design method for delayed fuzzy dynamic systems. Using delay-dependent Lyapunov function, the global exponential stability and $H_{\infty}$ performance problem arc discussed. A sufficient conditions for the existence of fuzzy controller is presented in terms of linear matrix inequalities(LMIs). A simulation example is given to illustrate the design procedures and performances of the proposed methods.