• Title/Summary/Keyword: Pole placement

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Modeling and Design of Zero-Voltage-Switching Controller for Wireless Power Transfer Systems Based on Closed-Loop Dominant Pole

  • Chen, Cheng;Zhou, Hong;Deng, Qijun;Hu, Wenshan;Yu, Yanjuan;Lu, Xiaoqing;Lai, Jingang
    • Journal of Power Electronics
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    • v.19 no.5
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    • pp.1235-1247
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    • 2019
  • Zero-Voltage-Switching (ZVS) operation for a Wireless Power Transfer (WPT) system can be achieved by designing a ZVS controller. However, the performance of the controller in some industrial applications needs to be designed tightly. This paper introduces a ZVS controller design method for WPT systems. The parameters of the controller are designed according to the desired performance based on the closed loop dominant pole placement method. To describe the dynamic characteristics of the system ZVS angle, a nonlinear dynamic model is deduced and linearized using the small signal linearization method. By analyzing the zero-pole distribution, a low-order equivalent model that facilitates the controller design is obtained. The parameters of the controller are designed by calculating the time constant of the closed-loop dominant poles. A prototype of a WPT system with the designed controller and a five-stage multistage series variable capacitor (MSVC) is built and tested to verify the performance of the controller. The recorded response curves and waveforms show that the designed controller can maintain the ZVS angle at the reference angle with satisfactory control performance.

A Design of $H_{\infty}$ Adaptive controller ($H_{\infty}$ 적응 제어기의 설계)

  • Park, Seung-Kyu;An, Ho-Kyun;Jang, Woo-Young
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.679-681
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    • 1997
  • A $H_{\infty}$ adaptive controller is designed by using polynomial approach. The $H_{\infty}$ robust controllers for adaptive system were designed by Grimble. But they did not minimize the mixed sensitivity ra cost function which is the re sum of weighted sensitivity and complementary sensitivity terms Moreover pole placement is dependent of cost function. In this paper, the mixed sensitivity re cost function is minimized by employing the Youla parameterization and polynomial approach at the same time. And pole plaement is independent of weighting function.

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Multiobjective State-Feedback Control of Beams with Piezoelectric Device (압전체가 부착된 보의 다목적 상태궤한제어)

  • Park, Chul-Hue;Hong, Seong-Il;Park, Hyun-Chul
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.828-833
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    • 2004
  • The performance of a mixed $H_{\infty}/H_2$ design with pole placement constraints based on robust vibration control for a piezo/beam system is investigated. The governing equation of motion for the piezo/beam system is derived by Hamilton's principle. The assumed mode method is used to discretize the governing equation into a set of ordinary differential equation. A robust controller is designed by $H_{\infty}/H_2$ feedback control law that satisfies additional constraints on the closed-loop pole location in the face of model uncertainties, which are derived for a general class of convex regions of the complex plane. These constraints are expressed in terms of linear matrix inequalities (LMIs) approach for the multiobjective synthesis. The validity and applicability of this approach for vibration suppressions of SMART structural systems are discussed by damping out the multiple vibrational modes of the piezo/beam system.

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An LMI-based Stable Fuzzy Control System Design with Pole Placement Constraints

  • Kyung, Hong-Sung;Joh Joongseon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.156-165
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    • 1998
  • This paper proposes a systematic design methodology for the Takagi-Sugeno(TS) model based fuzzy control system with guaranteed stability and additional constraints on the closed-loop pole location. These combined two objectives are formulated as a system of LMIs(Linear Matrix Inequalities). Since LMIs intrinsically reflect constraints, they tend to offer more flexibility for combining various constraints on the closed-loop system. To demonstrate the usefulness of the proposed design methodology it is applied to the requlation problem of a nonlinear magnetic bearing system. Simulation results show that the proposed LMI-based design methodology yields not only maximized stability boundary but also the desired transient responses.

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Design technique of fuzzy controller using pole assignment method and the stability analysis of the system

  • Cho, Young-Wan;Noh, Heung-Sik;Ki, Seung-Woo;Park, Mignon-
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1090-1093
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    • 1993
  • In this paper, the design technique of fuzzy controller using pole placement method and the stability analysis of the system are discussed. The consequent parts of the fuzzy model representing the fuzzy control system are descrived by linear stated equations. It cannot be guaranteed that the total fuzzy system is stable even if all subsystems are stable. The range of the consequent parameters of fuzzy feedback controller which is stable for each fuzzy subspace of the input space are derived, using a rather simplified stability criterion. Then, the consequent parameters of fuzzy controller is determined with the sufficient condition that the fuzzy feedback controller maintain robust stability for the model of other subspace.

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Zero Placement of the Asymmetric S-curve Profile to Minimize the Residual Vibration (잔류진동 저감을 위한 비대칭 S-curve 프로파일의 영점 배치법)

  • Ha, Chang-Wan;Rew, Keun-Ho;Kim, Kyung-Soo;Kim, Soo-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.4
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    • pp.308-313
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    • 2012
  • Robust tuning rules of the motion profile are proposed to minimize the residual vibration. For asymmetric S-curve profile, tuning rules are analytically formulated using Laplace-domain approach. When the system modeling is known exactly, by placing a single zero of the motion profile on the pole of the system, the residual vibration can be perfectly eliminated under undamped system. However, if there are some amounts of the modeling errors, the residual vibration significantly increases. To track this issue, the robust tuning rules against modeling error are discussed. One of the proposed robust tuning rules is placing the multiple zeros of the motion profile on the pole of the system, and the other is placing the zeros of the motion profile around the pole of the system. Thanks to the proposed robust tuning rules, motion profile becomes more robust to modeling errors while minimizing the residual vibration. By simulation, the effectiveness of the proposed robust tuning rules is verified.

Modeling and Anti-sway Control of a Container Crane (컨테이너 크레인의 모델링 및 흔들림 억제 방법)

  • Lim, Chang-Jin;Kim, Heung-Geun;Choi, Jong-woo
    • Proceedings of the KIEE Conference
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    • 2004.10a
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    • pp.196-198
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    • 2004
  • In this paper, the container crane which transports containers between a container ship and trucks in the harbor is modeled. The equation of motion is simplified for control purpose. The pole placement technique is used to control the crane to minimize load swing angle The objective of the control is to transfer the load as quickly as possible, while minimizing the amplitude of swing at the end of transfer. Computer simulations are provided.

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Linear Quadratic Control with Pole Placement for an Automotive Active Suspension System (극점배치기능을 갖는 LQ제어기 설계 및 자동차 능동 현가장치 제어에의 응용)

  • 최재원;서영봉;유완석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.513-517
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    • 1995
  • In this paper, a relation of matrix Q in cost function to distances between the closed-loop and open-loop poles of a multi input controllable systems is studied. Futhmore, the state feedback gain with exact desired eigenvalues in the LQR is computed. The proposed scheme is applied to designing automotive active suspension control system for a half-car model and its performance is compared with the existing LQR control system design methodology.

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Airplane mode decoupling using eigenstructure assignment via non-linear optimization (항공기 운동분리의 비선형 최적화를 이용한 고유공간지정법의 응용)

  • 이승재;김유단
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.920-925
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    • 1993
  • For a multi-input, multi-output system, it is widely known that feedback control gain presents extra freedom pole placement problem. An eigenstructure assignment utilizes this freedom for assignment of all or some elements of the closed-loop eigenvectors. In this paper, a nonlinear optimization technique is adopted to obtain a small gain controller that assigns closed-loop eigenvalues and elements of eigenvectors simultaneously. To illustrate the approach, a numerical example of the Airplane mode decoupling using an advanced fighter is shown.

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On D-admissibility Conditions of Singular Systems

  • Gao, Lixin;Chen, Wenhai
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.86-92
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    • 2007
  • In this paper, we first establish $D_L$-admissibility and $D_R$-admissibility conditions for singular systems. The admissibility conditions expressed as Lyapunov type inequalities extend the existed results of normal systems to singular systems. As special cases the admissibility conditions of the continuous-time and the discrete-time singular systems can be obtained directly. The results established in this paper can be applied to solve the problems of eigenvalue assignment, regional pole-placement and robust control etc.