• Title/Summary/Keyword: Pole placement control

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Gain Design of an Adaptive Full-order Observer Using a Pole Placement Technique for Speed Sensorless Induction Motor Drives

  • Yoo, Anno;Han, Sang-Heon;Son, Young Ik;Yoon, Young-Doo;Hong, Chanook
    • Journal of Power Electronics
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    • v.16 no.4
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    • pp.1346-1354
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    • 2016
  • This paper proposes a design guideline for the feedback gain of the adaptive full-order observer in the speed sensorless control of induction machines. The performance of the adaptive full-order observer is dependent on its feedback gain. This paper presents a pole placement method for the observer feedback gain design to improve the estimation performance of the speed adaptive observer. In the proposed method, the observer poles can be chosen independently of the induction motor poles. Instead, they can be positioned according to the operating speed. An analysis and experimental results obtained with the proposed method reveals better performances under general operating conditions.

Digital State Feedback Current Control using the Pole Placement Technique

  • Bae, Hyun-Su;Yang, Jeong-Hwan;Lee, Jae-Ho;Cho, Bo-Hyung
    • Journal of Power Electronics
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    • v.7 no.3
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    • pp.213-221
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    • 2007
  • A digital state feedback control method for the current mode control of DC-DC converters is proposed in this paper. This approach can precisely achieve interleaved current sharing among the converter modules. As the controller design and system analysis are performed in the time domain, the proposed method can easily satisfy the required converter specification by using the pole placement technique. The digital state feedback controller in the continuous and discrete time domain is derived for the robust tracking control. For the verification of the proposed control scheme, a parallel module bi-directional converter in a prototype 42V/14V hybrid automotive power system, which is a design example in the continuous time domain, and a parallel module buck converter, which is a design example in the discrete time domain, are implemented using a TMS320F2812 digital signal processor (DSP).

Pole Placement Method of a Double Poles Using LQ Control and Pole's Moving-Range (LQ 제어와 근의 이동범위를 이용한 중근의 극배치 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.1
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    • pp.20-27
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    • 2020
  • In general, a nonlinear system is linearized in the form of a multiplication of the 1st and 2nd order system. This paper reports a design method of a weighting matrix and control law of LQ control to move the double poles that have a Jordan block to a pair of complex conjugate poles. This method has the advantages of pole placement and the guarantee of stability, but this method cannot position the poles correctly, and the matrix is chosen using a trial and error method. Therefore, a relation function (𝜌, 𝜃) between the poles and the matrix was derived under the condition that the poles are the roots of the characteristic equation of the Hamiltonian system. In addition, the Pole's Moving-range was obtained under the condition that the state weighting matrix becomes a positive semi-definite matrix. This paper presents examples of how the matrix and control law is calculated.

A Study on the Direct Pole Placement PID Self-Tuning Controller Design for DC Servo Motor Control (직류 서어보 전동기 제어를 위한 직접 극배치 PID 자기동조 제어기의 설계)

  • Nam, Moon-Hyun;Rhee, Kyu-Young
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.2
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    • pp.55-64
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    • 1990
  • This paper concerned about a study on the direct pole placement PID self-tuning controller design for DC servo motor control system. The method of a direct pole placement self-tuning PID control for a DC servo motor of Robot manipulator tracks a reference velocity in spite of the parameters uncertainties in nonminimum phase system. In this scheme, the parameters of classical controller are estimated by the recursive least square (RLS)identification algorithm, the pole placement method and diophantine equation. A series of simulation in which minimum phase system and nonminimum phase system are subjected to a pattern of system parameter changes is presented to show some of the features of the proposed control algorithm. The proposed control algorithm which shown are effective for the practical application, and experiments of DC servo motor speed control for Robot manipulator by a microcomputer IBM-PC/AT are performed and the results are well suited.

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Continuous-time Direct Adaptive Pole Placement Control (연속시간 직접 적응 극배치 제어)

  • Kim, Jong-Hwan;Koo, Keun-Mo;Lee, Seon-Woo;Kim, Tai-Hyun
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.407-412
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    • 1990
  • This note presents a novel algorithm for a continuous-time direct adaptive pole placement control for single-input single-out nonminimum phase systems. Although the resulting overall closed-loop system is locally stable, assumptions about parameter convergence or the nature of the external input are not considered.

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Pole placement control of an inverted pendulus (도립진자의 극배치 제어)

  • Jang, Ki-Dong;Huh, Uk-Youl
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.355-359
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    • 1989
  • An inverted pendulum is made practically and controlled by optimal controller and pole placement controller. An IBM PC/XT plays a part of the controller. The control algorithm is implemented with C language. An integrator is added to the controller to solve the high frequency problem. Experiment is performed according to the results of simulation.

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LPD(Linear Parameter Dependent) System Modeling and Control of Mobile Soccer Robot

  • Kang, Jin-Shik;Rhim, Chul-Woo
    • International Journal of Control, Automation, and Systems
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    • v.1 no.2
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    • pp.243-251
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    • 2003
  • In this paper, a new model for mobile soccer robot, a type of linear system, is presented. A controller, consisting of two loops the one of which is the inner state feedback loop designed for stability and plant be well conditioned and the outer loop is a well-known PI controller designed for tracking the reference input, is suggested. Because the plant, the soccer robot, is parameter dependent, it requires the controller to be insensitive to the parameter variation. To achieve this objective, the pole-sensitivity as a pole-variation with respect to the parameter variation is defined and design algorithms for state-feedback controllers are suggested, consisting of two matrices one of which is for general pole-placement and other for parameter insensitive. This paper shows that the PI controller is equivalent to the state feedback and the cost function for reference tracking is equivalent to the LQ cost. By using these properties, we suggest a tuning procedure for the PI controller. We that the control algorithm in this paper, based on the linear system theory, is well work by simulation, and the LPD system modeling and control are more easy treatment for soccer robot.

Design of a Tracking Gain-up Controller for the Vibration Suppression of Tracking Actuator (트랙킹 액추에이터의 진동 억제를 위한 트랙킹 Gain-up 제어기 설계)

  • Lee, Moonnoh;Jin, Kyoung Bog
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.4
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    • pp.356-364
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    • 2013
  • This paper presents a tracking gain-up controller design method to control effectively the vibration of tracking actuator caused by external shocks and remaining velocity after seek control. A pole placement constraint is considered to assure a desired transient response against the vibration of tracking actuator. A loop gain-up constraint is introduced to hold the tracking gain-up loop gain and control bandwidth within allowable bounds. The pole placement constraint is expressed by a matrix inequality and the loop gain-up constraint is considered as an objective function so that genetic algorithm can be applied. Finally, a tracking gain-up controller is obtained by integrating a genetic algorithm with LMI design approach. The proposed tracking gain-up controller design method is applied to the track-following system of a DVD recording device and its effectiveness is evaluated through the experimental results.

A Robust Pole Placement for Uncertain Linear Systems via Linear Matrix Inequalities (선형행렬부등식에 의한 불확실한 선형시스템의 견실한 극점배치)

  • 류석환
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2000.11a
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    • pp.476-479
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    • 2000
  • This paper deals with a robust pole placement method for uncertain linear systems. For all admissible uncertain parameters, a static output feedback controller is designed such that all the poles of the closed loop system are located within the prespecfied disk. It is shown that the existence of a positive definite matrix belonging to a convex set such that its inverse belongs to another convex set guarantees the existence of the output feedback gain matrix for our control problem. By a sequence of convex optimization the aforementioned matrix is obtained. A numerical example is solved in order to illustrate efficacy of our design method.

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Implementation of Self-Tuning Speed Controller for DC Motor Drive System using RLS Algorithm and Pole-Placement Method (RLS 알고리즘과 극점배치방법을 이용한 DC전동기의 자기동조 속도제어기의 구현)

  • Cha, Eung-Seok;Ji, Jun-Keun
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.488-490
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    • 1999
  • This paper describes the design of self-tuning speed controller for DC motor drive system using RLS(Recursive Least Squares) algorithm and Pole-Placement method. The model parameters, related to inertia and damping coefficient of motor, are estimated on-line by using RLS estimation algorithm. And a control signal is calculated by using pole placement method. Simulation and experimental results show that the proposed controller possesses excellent adaptation capability than a conventional PI/IP controller under parameter change.

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