• Title/Summary/Keyword: Closed-loop Stability

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Design of Power System Stabilizer using QFT (QFT를 이용한 전력 계통 안정화 장치 설계)

  • Lee, J.P.;Chung, H.H.;Kim, C.H.;Chung, H.H.
    • Proceedings of the KIEE Conference
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    • 2000.11a
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    • pp.187-189
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    • 2000
  • In this paper, QFT robust control strategy is proposed to improve stability of power systems in the presence of parametric uncertainty. The basic idea in QFT is to convert design specifications of a closed loop system and plant uncertainties into robust stability and performance bounds on the open loop transmission of the nominal system and then to design a controller by using the gain-phase loop sharing technique. The robustness of the QFT controller has been investigated on a single machine infinite bus model by nonlinear simulations.

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On the stabilization of singular bilinear systems

  • Liang, Jia-Rong;Choi, Ho-Lim;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.449-451
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    • 2003
  • In this paper, the stability problem for singular bilinear system is investigated. We present state feedback control laws for two classes of singular bilinear plants. Asymptotic stability of the closed-loop systems is derived by employing singular Lyapunov's direct method. The primary advantage of our approach lies in its simplicity. In order to verify effectiveness of the results, two numerical examples are given.

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On Robustness of Linear Quadratic State Feedback Regulators for Infinite Dimensional systems (무한차원 시스템을 위한 선형 이차상태 궤한 제어기의 견인성에 관한 연구)

  • Seo, Jin-Heon
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.490-497
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    • 1988
  • This paper is concerned with the robust stability of linear quadratic state feedback regulators for infinite dimensional systems in the presence of system uncertainties Several robustness results ensuring the asymptoitc stability and exponential stability of the perturbed closed loop system are derived for a class of nonlinear perturbations of the system and input operators satisfying the matching condition. For the case where the input space is finite dimensional, some robust properties of the state feedback regulator designed on the basis of the linear quadratic regulator for finite dimensional unstable modes are also discussed seperately.

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Stability of an overlapping decentralized controller (중복 분산 제어기의 안정성)

  • 박찬국;이장규
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.943-946
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    • 1993
  • This paper presents design criteria of an overlapping decentralized controller by investigating the controllability and closed loop stability of the expanded system. To determine the criteria we classify the overlapping decentralized controller into an overlapping expanded controller and a contractible controller. It is shown that conditions of system expansion to design these controllers are differently used. The overlapping expanded controller needs the aggregation conditions due to the importance of a structure of the expanded system. The contractible controller which intends to use in the original space needs the restriction because of stability of the original system.

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Robust Stability and Disturbance Attenuation for a Class of Uncertain Singularly Perturbed Systems

  • Karimi, H.R.;Yazdanpanah, M.J.
    • Transactions on Control, Automation and Systems Engineering
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    • v.3 no.3
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    • pp.164-169
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    • 2001
  • This paper considers the problem of robust stabilization and disturbance attenuation for a class of uncertain singularly perturbed systems with norm-bounded nonlinear uncertainties. It is shown that the state feedback gain matrices can be determined to guarantee the stability of the closed-loop system for all $\varepsilon$$\in$(0, $\infty$). Based on this key result and some standard Riccati inequality approaches for robust control of singularly perturbed systems, a constructive design procedure is developed.

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Stability Proof of NFL-FOO/SMC : Part 1 (NFL-FOO/SMC의 안정도 증명 : Part 1)

  • Lee, Sang-Seung;Park, Jong-Keun;Lee, Ju-Jang
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.973-975
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    • 1998
  • For a nonlinear feedback linearization-full order observer/sliding mode controller (NFL-FOO/SMC), the separation principle is derived, and the closed-loop stability is proved by a Lyapunov function candidate using an addition form of the sliding surface vector and the estimation error.

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Autopilot Design with Two Degree of Freedom $H_{\infty}$ Control Method (2자유도 $H_{\infty}$제어기를 이용한 비행체 자동조종장치 설계)

  • 최광진;황준하;권오규
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1304-1307
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    • 1996
  • In this paper, we present a robust Two Degree of Freedom (TDF) $H_{\infty}$ controllers for a missile system. The feedback controller is designed to meet robust stability and disturbance rejection specifications while the prefilter is used to improve the robust model matching properties of the closed loop system. As the perturbed model, we use the normalized coprim factor perturbations. These controllers are designed using $H_{\infty}$ optimization procedures, and applied to a missile model via simulation.

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Closed-loop predictive control using periodic gain

  • Lee, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.173-176
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    • 1994
  • In this paper a closed-form predictive control which takes the intervalwise receding horizon strategy is presented and its stability properties are investigated. A slate-space form output predictor is derived which is composed of the one-step ahead optimal output prediction, input and output data of the system. A set of feedback gains are obtained using the dynamic programming algorithm so that they minimize a multi-stage quadratic cost function and they are used periodically.

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The design method of dead-time compensator for processes with multiplicative uncertainty and long dead time (승산 불확실성을 가지는 시간 지연 시스템의 제어기 설계 방법)

  • 김인희;마진석;최병태;김우현;구본호;권우현
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.237-237
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    • 2000
  • In this paper, The modified dead-time compensator for plants with an integrator and long dead time is proposed. The design procedure takes account of the closed-loop performance and robustness. The tuning of the controller can be done using some information about the plant and its uncertainties. The proposed controller is compared to others recently presented in the literature. Some simulation results verify good closed-performance and robustness of the proposed DTC.

A State Space Analysis on the Stability of Periodic Orbit Predicted by Harmonic Balance

  • Sung, Sang-Kyung;Lee, Jang-Gyu;Kang, Tae-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.67.5-67
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    • 2001
  • A closed loop system with a linear plant and nonlinearity in the feedback connection is analyzed for its quasi-static orbital stability by a state-space approach. First a periodic orbit is assumed to exist in the loop which is determined by describing function method for the given nonlinearity. This is possible by selecting a proper nonlinearity and a rigorous justification of the describing function method.[1-3, 18, 20]. Then by introducing residual operator, a linear perturbed model can be formulated. Using various transformations like a modified eigenstructure decomposition, periodic-averaging, charge of variables and coordinate transformation, the stability of the periodic orbit, as a solution of harmonic balance, can be shown by investigating a simple scalar function and result of linear algebra. This is ...

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