• Title/Summary/Keyword: Robust stability

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Takagi-Sugeno Fuzzy Model-Based Approach to Robust Control of Boost DC-DC Converters

  • Seo, Sang-Wha;Choi, Han Ho;Kim, Yong
    • Journal of Electrical Engineering and Technology
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    • v.10 no.3
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    • pp.925-934
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    • 2015
  • This paper considers the robust controller design problem for a boost DC-DC converter. Based on the Takagi-Sugeno fuzzy model-based approach, a fuzzy controller as well as a fuzzy load conductance observer are designed. Sufficient conditions for the existence of the controller and the observer are derived using Linear Matrix Inequalities (LMIs). LMI parameterizations of the gain matrices are obtained. Additionally, LMI conditions for the existence of the fuzzy controller and the fuzzy load observer guaranteeing α-stability, quadratic performance are derived. The exponential stability of the augmented fuzzy observer-controller system is shown. It is also shown that the fuzzy load observer and the fuzzy controller can be designed independently. Finally, the effectiveness of the proposed method is verified via experimental and simulation results under various conditions.

Adaptive robust hybrid position/force control for a uncertain robot manipulator

  • Ha, In-Chul;Han, Myung-Chul
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.426-426
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    • 2000
  • When real robot manipulators arc mathematically modeled, uncertainties are not avoidable. The uncertainties are often nonlinear and time varying, The uncertain factors come from imperfect knowledge of system parameters, payload change, friction, external disturbance and etc. We proposed a class of robust hybrid position/force control of manipulators and provided the stability analysis in the previous work. In the work, we propose a class of adaptive robust hybrid position/force control of manipulators with bound estimation and the stability based on Lyapunov function is presented. Especially, this controller does not need the information of uncertainty bound. The simulation results are provided to show the effectiveness of the algorithm.

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The Control Strategy For Fast Response Of A Synchronous Generator Excitation System (발전기 여자시스템의 속응성 제어기법)

  • 홍현문;최재호
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.14 no.5
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    • pp.62-65
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    • 2000
  • This paper deals with the design and evaluation of the evaluation of the robust controller for a synchronous generator excitation system to improve the steady state and transient stability. The nonlinear characteristics of the system is treated as model uncertainties, and then the robust control techniques are introduced into the power system stability design to take into account these uncertainties at the controller design stage. The performance of the designed controller is examined by extensive non-linear time domain simulation. It is shown that the performance of the robust controller is superior to that of the conventional PI controller.

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Design of Force Rebalance Loop for Silicon Accelerometer using Parametric Robust Control Technique (변수적 강인해석기법을 이용한 실리콘 가속도계의 재평형루프 설계)

  • Seong, Sang-Gyeong;Lee, Jang-Gyu;Gang, Tae-Sam
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.3
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    • pp.124-132
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    • 2000
  • In this paper, presented are an active surface-micromachined silicon accelerometer, force rebalance loop using parametric robust control method, and experimental results with a real micromachined accelerometer. And finally, a robust controller of the form of PID compensator was designed to construct force rebalance loop. Through the frequency response analysis, it is shown that the loop guarantees appropriate stability and robustness. Experiments with a real accelerometer demonstrated that the proposed loop effectively controls the position of the accelerometer's proof mass. It also demonstrated that the resolution of the fabricated accelerometer is better than 1mg. Compared with a commercial accelerometer the proposed force rebalance silicon accelerometer showed better performances.

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Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems (이산시간 불확실 특이시스템의 유한시간 강인 산일성 상태궤환 제어기 설계)

  • Kim, Jong Hae;Oh, Do Chang
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.11
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    • pp.1598-1604
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    • 2015
  • In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for finite-time stability of discrete-time singular systems is derived. A finite-time dissipative state feedback controller design method satisfying finite-time stability and dissipativity is proposed by LMI(linear matrix inequality) technique on the basis of the obtained BRL. Moreover it is shown that the obtained condition can be extended into polytopic uncertain systems by proper manipulations. Finally, illustrative examples are given to show the applicability of the proposed method.

Robust Decoupling Control of Ship Propulsion System with CPP (CPP를 갖는 선박 추진 시스템의 강인한 Decoupling 제어)

  • 김영복;변정환
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.9
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    • pp.33-42
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    • 1998
  • If a ship diesel engine is operated by consolidated control with Controllable Pitch Propeller(CPP), the minimum fuel consumption is achieved together with the demanded ship speed. For this, it is necessary that the ship is operated on the ideal operating line which satisfies the minimum fuel consumption and that the pitch angle of CPP and throtle valve angle are controlled simultaneously. In this point of view, this paper presents a controller design method for a ship propulsion system with CPP based on the decoupling control theory. To do this, Linear Matrix Inequality(LMI) approach is introduced for the control system to satisfy the given $H_\infty$ control performance and robust stability in the presence of physical parameter perturbations. The validity and applicability of this approach are illustrated by simulation in the all operating ranges.

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Robust Synchronous Control of a Two-Axes Driving System using Coupling Structure (커플링구조를 이용한 2축 구동시스템의 강인한 위치동기제어)

    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.248-252
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    • 2002
  • In this study, a synchronous controller which can be applied to two-axes position synchronization has been developed. The synchronous control system based on coupling structure has been composed of speed and synchronous controller. The speed controller has been designed to fellow speed reference. And the synchronous controller has been designed in the view point of accurate synchronization and robust stability by $H_{\infty}$ approach. The effectiveness of the designed synchronous controller has been demonstrated by experiment.

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Robust Hybrid Control for Uncertain Robot Manipulators (불확실 로봇 시스템의 견실 하이브리드 제어기 설계)

  • Han, Myung-Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.7
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    • pp.73-81
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    • 1997
  • An new class of robust position/force hybrid control law is proposed for uncertain robot manipulators. The uncertainty is nonlinear and (plssibly fast) time-varying. Therefore, the uncertain factors such as imper- fect modeling, friction, payload change, and external disturbance are all addressed. Based on the possible bound of the uncertainty, the controller is constructed and the stability study based on Lyapunov function is presented. To show that the proposed control laws are indeed applicable, the theoretical result is applied to a SCARA-type robot manipulator and simulation result is presented.

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A New PID Controller with Lyapunov Stability for Regulation Servo Systems

  • Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.13 no.1
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    • pp.11-18
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    • 2009
  • In this paper, the stability of second order uncertain systems with regulation of PID type controllers is analyzed by using Lyapunov second method for the first time in the time domain. The property of the stability of PID regulation servo systems is revealed in sense of Lyapunov, i.e., bounded stability due to the disturbances and uncertainties. By means of the results of this stability analysis, the maximum norm bound of the error from the output without variation of the uncertainties and disturbances is determined as a function of the gains of the PID control, which make it enable to analyze the effect resulted from the variations of the disturbances and uncertainties using this norm bound for given PID gains. Using the relationship of the error from the output without variation of the uncertainties and disturbances and the PID gain with maximum bounds of the disturbances and uncertainties, the robust gain design rule is suggested so that the error from the output without the variation of the disturbances and uncertainties can be guaranteed by the prescribed specifications as the advantages of this study. The usefulness of the proposed algorithm is verified through an illustrative example.

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Stability Robustness of Unified Decentralized Systems (단일 분산시스템의 강인안정성 해석)

  • Lee, Dong-Gi;Heo, Gwang-Hee;Oh, Do-Chang;Lee, Giu;Lee, Woo-Sang
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.2 s.314
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    • pp.1-9
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    • 2007
  • In this paper, new results for perturbation bounds for unified decentralized systems by a unified approach using $\delta$ (defined as a shift operator at unified approach) are presented. Robust stability analysis of unified decentralized system is investigated by new robust stability bound under system uncertainties. New unified stability bounds are developed based on the unified Lyapunov matrix equation. It is shown that the system maintains its stability when new unified bounds are applied. Numerical example is presented to illustrate the proposed analysis.