• Title/Summary/Keyword: Exact pole assignment

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A Unified Approach to Exact, Approximate, Optimized and Decentralized Output Feedback Pole Assignment

  • Tarokh, Mahmoud
    • International Journal of Control, Automation, and Systems
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    • v.6 no.6
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    • pp.939-947
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    • 2008
  • The paper proposes a new formulation of the output feedback pole assignment problem. In this formulation, a unified approach is presented for solving the pole assignment problem with various additional objectives. These objectives include optimizing a variety of performance indices, and imposing constraints on the output feedback matrix structure, e.g. decentralized structure. Conditions for the existence of the output feedback are discussed. However, the thrust of the paper is on the development of a convergent pole assignment algorithm. It is shown that when exact pole assignment is not possible, the method can be used to place the poles close to the desired locations. Examples are provided to illustrate the method.

Static output feedback pole assignment of 2-input, 2-output, 4th order systems in Grassmann space

  • Kim, Su-Woon;Song, Seong-Ho;Kang, Min-Jae;Kim, Ho-Chan
    • Journal of IKEEE
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    • v.23 no.4
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    • pp.1353-1359
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    • 2019
  • It is presented in this paper that the static output feedback (SOF) pole-assignment problem of some linear time-invariant systems can be completely resolved by parametrization in real Grassmann space. For the real Grassmannian parametrization, the so-called Plucker matrix is utilized as a linear matrix formula formulated from the SOF variable's coefficients of a characteristic polynomial constrained in Grassmann space. It is found that the exact SOF pole assignability is determined by the linear independency of columns of Plucker sub-matrix and by full-rank of that sub-matrix. It is also presented that previous diverse pole-assignment methods and various computation algorithms of the real SOF gains for 2-input, 2-output, 4th order systems are unified in a deterministic way within this real Grassmannian parametrization method.

Adaptive Fuzzy Controller Design Using Pole Assignment Compansator (극배치 보상기를 가진 적응 퍼지 제어기의 설계)

  • Choi, Chang-Ho;Hong, Dae-Seung;Ryu, Chang-Wan;Jeon, Sang-Yeong;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.862-864
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    • 1999
  • Adaptive Fuzzy control system is very powerful in nonlinear system, but That system require exactly membership function and parameter. If the membership function and parameter are not exact, the system will generate chattering. Using the Pole assignment compensator can remove the chattering and steepest descent method can reduce the convergence time. In this Paper, this algorithm applicate to the Inverted pendulum, so save proof of algorithm that is to be vigorous.

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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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Study on Following of Parmeter ${\alpha}$ of 2-DOF PID Controller Using Fuzzy Algorithm

  • Lee, Sang-Min;Cho, Yong-Sung;Park, Jong-Oh;Choo, Yeon-Gyu;Lim, Young-Do
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.307-311
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    • 2003
  • 2-mass system is generally used as controller of the variable-speed to transfer electromotion power to mechanical load such as industrial robot, driving parts of electric vehicle, rolling machine system of steel plant and driving parts of elevator. In this case, PI controller is often used as a velocity controller because of simplicity of system. But PI control algorithm is not enough for obtaining the control characteristics required for this system. To solve this problem, 2-mass system based on the PID controller derives the optimum PID parameters by pole assignment and estimation of the ITAE performance index. In this case, the system have tenacious properties about disturbance, but it causes extreme overshoot and vibration because of rapidly output of controller in early transient response about desired value. And if speed control system is applied by 2-DOF parameter ${\alpha}$, a temporary value, we must induce most suitable parameter by complicate pole assignment and estimation of the ITAE performance index whenever ${\alpha}$ changes. In this paper, to solve this problem we suggest control algorithm to followed exactly value of ${\alpha}$ as 2-DOF parameter by using fuzzy algorithm . So, intelligence algorithm modeled by human knowledge, experience, teachability and judgment follow exact ${\alpha}$ value and it can compose the efficient 2-DOF PID controller to improve following performance, overshoot decrease.

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