• Title/Summary/Keyword: bounded control

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Nonlinear Input-Output Feedback Linearizing Control for Power System Stabilization (전력계통 안정화를 위한 비선형 입출력 궤환 선형화 제어기)

  • Kim, Dong-Gun;Yoon, Tae-Woong
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.672-674
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    • 2004
  • Many nonlinear controllers for the power system are based on nonlinear models involving the power angle as an element of the state, and therefore the reference value for the power angle is needed. As this reference value is not generally available, it is difficult to apply such nonlinear control methods in practice. To deal with this problem, we present an input-output feedback linearizing control scheme by selecting the output as a combination of the squared voltage and the relative frequency. It is shown that the internal dynamics are locally stable with controllable damping, and that the frequency remains bounded for all time. Simulations illustrate the effectiveness of the proposed method.

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Design of a Stable Adaptive Controllor in the Presence of Disturbance (외란 투입시 안정한 적응 제어기 설계)

  • 천희영;박귀태;박승엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.35 no.12
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    • pp.573-578
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    • 1986
  • The adaptive control of a plant in the presence of disturbance is considered. In sevral papers, it was shown that bounded disturbance made the basic adaptive scheme unstable. For achieving robust stability in adaptive control system in the presence of disturbance, the pureintegration in the adaptive law is limited by means of an additional feedback term. In this paper, the suggested adaptive control law has property that the output error converges to zero whether the disturbance exist or not, without the priori knowledge. The adaptive controller suggested assure the boundness of all signal in the overall system. Finally, computer simulation show the effectiveness of the suggested adaptive control law.

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Leader-following Approach Based Adaptive Formation Control for Mobile Robots with Unknown Parameters (미지의 파라미터를 갖는 이동 로봇들을 위한 선도-추종 방법 기반 적응 군집 제어)

  • Moon, Ssurey;Park, Bong-Seok;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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    • pp.1592-1598
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    • 2011
  • In this paper, a formation control method based on the leader-following approach for nonholonomic mobile robots is proposed. In the previous works, it is assumed that the followers know the leader's velocity by means of communication. However, it is difficult that the followers correctly know the leader's velocity due to the contamination or delay of information. Thus, in this paper, an adaptive approach based on the parameter projection algorithm is proposed to estimate the leader's velocity. Moreover, the adaptive backstepping technique is used to compensate the effects of a dynamic model with the unknown time-invariant and time-varying parameters. From the Lyapunov stability theory, it is proved that the errors of the closed-loop system are uniformly ultimately bounded. Simulation results illustrate the effectiveness of the proposed control method.

Robust Adaptive Control for Nonlinear Systems Using Nonlinear Disturbance Observer (외란 관측기를 이용한 비선형 시스템의 강인 적응제어)

  • Hwang, Young-Ho;Han, Byung-Jo;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.327-329
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    • 2006
  • A controller is proposed for the robust adaptive backstepping control of a class of uncertain nonlinear systems using nonlinear disturbance observer (NDO). The NDO is applied to estimate the time-varying lumped disturbance in each step, but a disturbance observer error does not converge to zero since the derivative of lumped disturbance is not zero. Then the fuzzy neural network (FNN) is presented to estimate the disturbance observer error such that the outputs of the system are proved to converge to a small neighborhood of the desired trajectory. The proposed control scheme guarantees that all the signals in the closed-loop are semiglobally uniformly ultimately bounded on the basis of the Lyapunov theorem. Simulation results are presented to illustrate the effectiveness and the applicability of the approaches proposed.

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Control of Robot Manipulators Using Robust Visual Feedback Controller with Integrator (적분기를 포함하는 시각궤환 강인제어기를 사용한 로봇 제어)

  • Jie, Min-Seok;Kim, Chin-Su;Lee, Kang-Woong
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.89-91
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    • 2005
  • In this paper, we propose a robust visual feedback controller with integral action for tracking control of n-link robot manipulators in the presence of constant bounded parametric uncertainties. The proposed control input has robustness to the parametric uncertainty and reduces tracking error in the steady-state. The stability of the closed-loop system is shown by Lyapunov method. The effectiveness of the proposed method is shown by simulation results on the 5-link robot manipulators with two degree of freedom.

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H Sampled-Data Control of LPV Systems with Time-varying Delay (시변지연을 가지는 LPV시스템의 H 샘플데이타 제어)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.1
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    • pp.121-127
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    • 2015
  • This paper considers the problem of sampled-data control for continuous linear parameter varying (LPV) systems. It is assumed that the sampling periods are arbitrarily varying but bounded. Based on the input delay approach, the sampled-data control LPV system is transformed into a continuous time-delay LPV system. Some less conservative stabilization results represented by LMI (Linear Matrix Inequality) are obtained by using the Lyapunov-Krasovskii functional method and the reciprocally combination approach. The proposed method for the designed gain matrix should guarantee asymptotic stability and a specified level of performance on the closed-loop hybrid system. Numerical examples are presented to demonstrate the effectiveness and the improvement of the proposed method.

Nonlinear Adaptive Control of Fermentation Process in Stirred Tank Bioreactor

  • Kim, Sang-Bong;Kim, Hak-Kyeong;Soo, Jeong-Nam;Nguyen, Tan-Tien
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.74.3-74
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    • 2001
  • This paper proposes a nonlinear adaptive controller based on back-stepping method for tracking reference substrate concentration by manipulating dilution rate in a continuous baker´s yeast cultivating process in stirred tank bioreactor. Control law is obtained from Lyapunov control function to ensure asymptotical stability of the system. The Haldane model for the specific growth rate depending on only substrate concentration is used in this paper. Due to the uncertainty of specific growth rate, it has been modified as a function including the unknown parameter with known bounded values. The substrate concentration in the bioreactor and feed line are measured. The deviation from the reference is observed when the external disturbance such as the change of the feed is introduced to the system ...

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Sliding Mode Tracking Control of a Nonminimum Phase EGR/VGT Diesel Engine

  • J., Heon Sul;Utkin, V.I.
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.104-107
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    • 1999
  • Tracking control of an arbitrary reference has been discussed for 7Th order 2-input 2-output non-minimum phase EGR/VGT diesel engines. To meet strict emission regulations and customer demands, the desired set points, the air-fuel ratio and the ERG flow fraction, determined from a static engine data based on engine speed and the desired fueling rate are transformed into the set points for the two sensor measurement outputs. Applying the sliding mode tracking control theory proposed by Jeong and Utkin, two step design was carried out using the bounded solution of an unstable zero dynamics for the given reference signals. This paper shows through simulations how stabilization of unstable zero dynamics and reference tracking can be accomplished simultaneously.

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Robust Positive Real Control of Linear Systems with Repeated Scalar Block Parameter Uncertainty (반복된 스칼라 블록 파라미터를 포함한 불확실성을 갖는 선형 시스템의 가인 양실 제어)

  • 이보형;심덕선;이장규
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.574-578
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    • 1998
  • This paper considers the robust positive real problem for linear systems with linear fractional-type norm-bounded repeated scalar block parameter uncertainty. It is shown that the robust positive real problem can be converted into the standard positive real problem without uncertainty that can be used for the analysis of the given uncertain linear system and the synthesis of a controller that robustly stabilizes and achieves the extended strict positive realness property of the closed-loop transfer function. These results can be also applied to the linear system with general structured uncertainty containing repeated scalar block parameters and are extensions of the previous works that consider only norm-boundedness of the affine unstructured uncertainty.

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Robust Output-Tracking Control of Uncertain Takagi-Sugeno Fuzzy Systems

  • 이호재;박진배;정근호;주영훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.05a
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    • pp.315-318
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    • 2003
  • A systematic output-tracking control design technique for robust control of Takagi-Sugeno (T-S) fuzzy systems with norm-bounded uncertainties is developed. The uncertain T-S fuzzy system is first represented as a set of uncertain local linear systems. The tracking problem is then converted into the stabilization problem for a set of uncertain local linear systems thereby leading to a more feasible controller design procedure. A sufficient condition for robust asymptotic output tracking is derived in terms of a set of linear matrix inequalities (LMIs). A stability condition on the traversing time-instances is also established. The output tracking control simulation for a flexible-joint robot-arm model is demonstrated, to convincingly show the effectiveness of the proposed system modeling and controller design method.

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