• Title/Summary/Keyword: Pole placement

Search Result 231, Processing Time 0.021 seconds

Adaptive Pole-Placement and Self-Tuning Control for a Robotic Manipulator (적응 극점 배치 및 자기동조 제어 방법에 의한 로보트 매니퓰레이터 제어)

  • 이상효;양태규
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.37 no.9
    • /
    • pp.655-662
    • /
    • 1988
  • An adaptive control scheme has been recognized as an effective approach for a robot manipulator to track a deired trajectory in spite of the presence of nonlinearies and parameter uncertainties in robot dynamic models. In this paper, an adaptive control scheme for a robot manipulator is proposed to design the self-tuning controller which controls the extended linearized perturbaton model via the pole placement, and this control. The feasibility of the controller is demonstrated by the simulation about position control of a three-link manipulator with payload and parameter uncertainty.

  • PDF

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
    • /
    • v.21 no.1
    • /
    • pp.20-27
    • /
    • 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.

Seismic response of active or semi active control for irregular buildings based on eigenvalues modification

  • Pnevmatikos, Nikos G.;Hatzigeorgiou, George D.
    • Earthquakes and Structures
    • /
    • v.6 no.6
    • /
    • pp.647-664
    • /
    • 2014
  • A reduction of the response of irregular structures subjected to earthquake excitation by control devices equipped by suitable control algorithm is proposed in this paper. The control algorithm, which is used, is the pole placement one. A requirement of successful application of pole placement algorithm is a definition-selection of suitable poles (eigen-values) of controlled irregular structures. Based on these poles, the required action is calculated and applied to the irregular structure by means of control devices. The selection of poles of controlled irregular structure, is a critical issue for the success of the algorithm. The calculation of suitable poles of controlled irregular structure is proposed herein by the following procedure: a fictitious symmetrical structure is considered from the irregular structure, adding vertical elements, such as columns or shear walls, at any location where is necessary. Then, the eigen-values of symmetrical structure are calculated, and are forced to be the poles of irregular controlled structure. Based on these poles and additional damping, the new poles of the controlled irregular structure are calculated. By pole placement algorithm, the feedback matrix is obtained. Using this feedback matrix, control forces are calculated at any time during the earthquake, and are applied to the irregular structure by the control devices. This procedure results in making the controlled irregular structure to behave like a symmetrical one. This control strategy can be applied to one storey or to multi-storey irregular buildings. Furthermore, the numerical results were shown that with small amount of control force, a sufficient reduction of the response of irregular buildings is achieved.

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
    • /
    • v.27 no.2
    • /
    • pp.55-64
    • /
    • 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.

  • PDF

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
    • /
    • v.1 no.2
    • /
    • pp.243-251
    • /
    • 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 Robust Controller Using Genetic Algorithms and LMI Design Method (유전자 알고리즘과 LMI 설계 방법을 이용한 강인 제어기의 설계)

  • Lee, Moon-Noh;Lee, Hong-Kyu
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.17 no.7
    • /
    • pp.619-624
    • /
    • 2011
  • This paper presents a controller design method for a robust control problem with multiple constraints using genetic algorithms and LMI design method. A robust $H_{\infty}$ constraint with loop shaping and pole placement is used to address disturbance attenuation with error limits and desired transient specifications, in spite of the plant uncertainties and disturbances. In addition, a loop gain constraint is considered so as not to enlarge the loop gain unnecessarily. The robust $H_{\infty}$ constraint and pole placement constraint can be expressed in terms of two matrix inequalities and the loop gain constraint can be considered as an objective function so that genetic algorithms can be applied. Accordingly, a robust controller can be obtained by integrating genetic algorithms with LMI approach. The proposed controller design method is applied to a track-following system of an optical disk drive and is evaluated through simulation results.

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
    • /
    • v.23 no.4
    • /
    • pp.356-364
    • /
    • 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.

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
    • /
    • v.7 no.3
    • /
    • pp.213-221
    • /
    • 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 Self-Tuning Control for Robot Manipulators in Task Coordinates (작업좌표에서 로보트 매니퓰레어터에 대한 극점배치 자기동조 제어)

  • 양태규;이상효
    • The Transactions of the Korean Institute of Electrical Engineers
    • /
    • v.38 no.3
    • /
    • pp.247-255
    • /
    • 1989
  • This paper proposes an error model with integral action and a pole-place-ment self-tuning controller for robot manipulators in task coordinates. The controller can reject the offset due to any load disturbance without a detailed description of the robot dynamics. The error model parameters are estimated by the recursive least square identification algorithms, and controller parameters are determined by the pole-placement method. A computer simulation study has been conducted to demonstrate the performance of the proposed control system in task coordinates for a 3-joint and 2-link spatial robot manipulator with payload.

Application to a Multimachine Power System of Power System Stabilizer using Revised Pole Shift Adaptive Control Algorithm (개선된 극점이동 적응제어 알고리즘을 이용한 전력계통 안정화장치의 다기계통 적용)

  • Lee, Sang-Keun
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.49 no.10
    • /
    • pp.486-493
    • /
    • 2000
  • This paper presents an application to a multimachine power system of power system stabilizer using revised pole shift adaptive algorithm. Controller parameters are determined by using adaptive control theory in order to maintain optimal operation of generator under the various operating conditions. To determine the optimal parameters of controller and overcome the problem of pole placement algorithm, this paper presents pole shift algorithm revised pole shift factor. Also, the difference between the speed deviation with weighted factor and voltage deviation is used as the input signal of adaptive controller, which provides good damping characteristics. The results tested on a multimachine power system verify that the proposed controller has better dynamic and transient performance than conventional controller.

  • PDF