• Title/Summary/Keyword: Pole Placement Controller

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Control of Inverted Pendulum Using Continuous Time Deadbeat Control (연속계 Deadbeat 제어를 적용한 도립진자 제어)

  • Kim, Seung-Youal;Lee, Keum-Won
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.18 no.6
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    • pp.108-113
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    • 2004
  • Due to the asymptotic Property, deadbeat control can hardly be applied to the continuous time system control. But some delay element method can deal such a problem. Besides delay element nan well-known digital deadbeat control can be used by the aid of some smoothing elements. in this paper, 2nd order smoothing element is used for the smoothing or the digital deadbeat controller. And this element is argumented to the plant and so control problem is to control digitally the argumented system. We simulated this control system using Matlab language and finally apply this algorithm to the rotary inverted pendulum system.

A Study on the Active Vibration Isolator PID Auto-tuning Using PSO Algorithm (PSO알고리즘을 활용한 능동 제진 시스템 PID 오토 튜닝에 관한 연구)

  • An, Il Kyun;Huh, Heon;Kim, Hyo-Young;Kim, Kihyun
    • Journal of the Semiconductor & Display Technology
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    • v.21 no.4
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    • pp.59-64
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    • 2022
  • Vibration is one of the factors that degrades the performance of equipment and measurement equipment used in high-tech industries such as semiconductors and display. The vibration isolator is classified into passive type and active type. The passive vibration isolator has the weakness of insufficient vibration isolation performance in the low frequency band, so an active vibration control system that can overcome these problems is used recently. In this paper, PID controller is used to control the active vibration isolator. Methods for setting the gain of the PID controller include the Zeigler-Nichols method, the pole placement method. These methods have the disadvantage of requiring a lot of time or knowing the system model accurately. This paper proposes the gain auto tuning method of the active vibration isolator applied with the PSO algorithm, which is an optimization algorithm that is easy to implement and has stable convergence performance with low calculations. It is expected that it will be possible to improve vibration isolation performance and reduce the time required for gain tuning by applying the proposed PSO algorithm to the active vibration isolator.

Model reduction techniques for high-rise buildings and its reduced-order controller with an improved BT method

  • Chen, Chao-Jun;Teng, Jun;Li, Zuo-Hua;Wu, Qing-Gui;Lin, Bei-Chun
    • Structural Engineering and Mechanics
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    • v.78 no.3
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    • pp.305-317
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    • 2021
  • An AMD control system is usually built based on the original model of a target building. As a result, the fact leads a large calculation workload exists. Therefore, the orders of a structural model should be reduced appropriately. Among various model-reduction methods, a suitable reduced-order model is important to high-rise buildings. Meanwhile, a partial structural information is discarded directly in the model-reduction process, which leads to the accuracy reduction of its controller design. In this paper, an optimal technique is selected through comparing several common model-reduction methods. Then, considering the dynamic characteristics of a high-rise building, an improved balanced truncation (BT) method is proposed for establishing its reduced-order model. The abandoned structural information, including natural frequencies, damping ratios and modal information of the original model, is reconsidered. Based on the improved reduced-order model, a new reduced-order controller is designed by a regional pole-placement method. A high-rise building with an AMD system is regarded as an example, in which the energy distribution, the control effects and the control parameters are used as the indexes to analyze the performance of the improved reduced-order controller. To verify its effectiveness, the proposed methodology is also applied to a four-storey experimental frame. The results demonstrate that the new controller has a stable control performance and a relatively short calculation time, which provides good potential for structural vibration control of high-rise buildings.

Strategies for Driving and Egress for the Vehicle of a Humanoid Robot in the DRC Finals 2015 (DRC Finals 2015 에서 휴머노이드 로봇의 자동차 운전과 하차에 관한 전략)

  • Ahn, DongHyun;Shin, JuSeong;Jun, Youngbum;Sohn, Kiwon;Jang, Giho;Oh, Paul;Cho, Baek-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.11
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    • pp.912-918
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    • 2016
  • This paper presents various strategies for humanoid vehicle driving and egress tasks. For driving, a tele-operating system that controls a robot based on a human operator's commands is built. In addition, an autonomous assistant module is developed for the operator. Normal position control can result in severe damage to robots when they egress from vehicles. To prevent this problem, another approach that mixes various joint control techniques is adopted in this study. Additionally, a footplate is newly designed and attached to the vehicle floor for the ground landing phase of the egress task. The attached plate enables the robot to step down onto the ground in a safe manner. For stable locomotion, a balance controller is designed for the humanoid. For the design of the controller, the robot is modeled using an inverted pendulum that consists of a spring and a damper. Then, a state feedback controller (with pole placement and a state observer) is built based on the simplified model. Many approaches that are presented in this paper were successfully applied to a full-sized humanoid, DRC-HUBO+, in the DARPA Robotics Challenge Finals, which were held in the United States in 2015.

Robust Gain Scheduling Based on Fuzzy Logic Control and LMI Methods (퍼지논리제어와 LMI기법을 이용한 강인 게인 스케줄링)

  • Chi, Hyo-Seon;Koo, Kuen-Mo;Lee, Hungu;Tahk, Min-Jea;Hong, Sung-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.1
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    • pp.1162-1170
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    • 2001
  • This paper proposes a practical gain-scheduling control law considering robust stability and performance of Linear Parameter Varying(LPV) systems in the presence of nonlinearities and uncertainties. The proposed method introduces LMI-based pole placement synthesis and also associates with a recently developed fuzzy control system based on Takagei-Sugenos fuzzy model. The sufficient conditions for robust controller design of linearized local dynamics and robust stabilization of fuzzy control systems are reduced to a finite set of Linear Matrix inequalities(LMIs) and solved by using co-evolutionary algorithms. The proposed method is applied to the longitudinal acceleration control of high performance aircraft with linear and nonlinear simulations.

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Direct Stator Flux Vector Control Strategy for IPMSM using a Full-order State Observer

  • Yuan, Qingwei;Zeng, Zhiyong;Zhao, Rongxiang
    • Journal of Electrical Engineering and Technology
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    • v.12 no.1
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    • pp.236-248
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    • 2017
  • A direct stator flux vector control scheme in discrete-time domain is proposed in this paper for the interior permanent magnet synchronous motor (IPMSM) drive to remove the proportional-integral (PI) controller from the direct torque control (DTC) scheme applied to IPMSM and to obtain faster dynamic response and lower torque ripple output. The output of speed outer loop is used as the desired torque angle instead of the desired torque in the proposed scheme. The desired stator flux vector in dq coordinate is calculated with a given amplitude. The state-space equations in discrete-time for IPMSM are established, the actual stator flux vector is estimated in deadbeat manner by a full-order state observer, and then the closed-loop control is achieved by the pole placement. The stator flux error vector is utilized to calculate the reference stator voltage vector. Extracting the angle position and amplitude from the estimated stator flux vector and estimating the output torque are eliminated for the direct feedback control of the stator flux vector. The proposed scheme is comparatively investigated with a PI-SVM DTC scheme by experiment results. Experimental results show the feasibility and advantages of the proposed control scheme.

The Control of Inverted Pendulum System Using Approximated Nonlinear Feedback Linearization (근사 비선형 궤환 선형화를 이용한 도립 진자 계통의 제어)

  • 이종용;이상효
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.3
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    • pp.372-384
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    • 1993
  • The inverted pendulum system has interesting and challenging problems related to robotics and rocket attitude control view of both control theory and applications. Generally approximately linearized plant models are employed to control the system. In this paper a recently developed control theory based on differentiable manifold theory is used to control the inverted pendulum system which is typically nonlinear. First, the nonlinear model is transformed into the approximate feedback linearized system by nonlinear state feedback. Secondly, the linear controller is designed using the pole-placement method for the approximate feedback linearized plant model, the output of which are finally inverse-transformed to yield the control input to the actual system of the inverted pendulum. The proposed method is evaluated by the computer simulation to compare with the 3rd order linearization model.

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Adaptive Control of Peak Current Mode Controlled Boost Converter Supplied by Fuel Cell

  • Bjazic, Toni;Ban, Zeljko;Peric, Nedjeljko
    • Journal of Power Electronics
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    • v.13 no.1
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    • pp.122-138
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    • 2013
  • Adaptive control of a peak current mode controlled (PCM) boost converter supplied by a PEM fuel cell is described in this paper. The adaptive controller with reference model and signal adaptation is developed in order to compensate the deviation of the response during the change of the operating point. The procedure for determining the adaptive algorithm's weighting coefficients, based on a combination of the pole-zero placement method and an optimization method is proposed. After applying the proposed procedure, the optimal adaptive algorithm's weighting coefficients can be determined in just a few iterations, without the use of a computer, thus greatly facilitating the application of the algorithm in real systems. Simulation and experimental results show that the dynamic behavior of a highly nonlinear control system with a fuel cell and a PCM boost converter, can fairly accurately be described by the dynamic behavior of the reference model, i.e., a linear system with constant parameters.

New Target Transfer Functions with No Overshoot

  • Yang, Dae--Jeong;Kim, Young-Chol
    • Journal of KIEE
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    • v.11 no.1
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    • pp.14-20
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    • 2001
  • To design a controller based on the pole placement method, it is necessary to obtain either a target transfer function or a desired characteristic equation which results in the closed-loop response. Specially, a step response in which no overshoot occurs in highly desirable in many applications. In this paper, we present two new present two new prototypes of Type I target transfer functions whose step responses have an overshoot of less than 0.1%. One prototype is obtained by Taylor's approximation of a Gaussian function. It is, however, observed that the response delays increase with increasing order, while the rise times are nearly constant. The other prototype is a modification of the first prototype, so that their transfer function coefficients have particular values in terms of specific parameters ${\gamma}$i and $\tau$ (see section 2). The second prototype gives very useful properties in which step responses are almost the same shape, irrespective of the order. It, also, has no overshoot. Some other properties of the prototypes and an application example are given.

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Methods of Weighting Matrices Determination of Moving Double Poles with Jordan Block to Real Poles By LQ Control (LQ 제어로 조단블록이 있는 중근을 실근으로 이동시키는 가중행렬 결정 방법)

  • Park, Minho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.6
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    • pp.634-639
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    • 2020
  • In general, the stability and response characteristics of the system can be improved by changing the pole position because a nonlinear system can be linearized by the product of a 1st and 2nd order system. Therefore, a controller that moves the pole can be designed in various ways. Among the other methods, LQ control ensures the stability of the system. On the other hand, it is difficult to specify the location of the pole arbitrarily because the desired response characteristic is obtained by selecting the weighting matrix by trial and error. This paper evaluated a method of selecting a weighting matrix of LQ control that moves multiple double poles with Jordan blocks to real poles. The relational equation between the double poles and weighting matrices were derived from the characteristic equation of the Hamiltonian system with a diagonal control weighting matrix and a state weighting matrix represented by two variables (ρd, ϕd). The Moving-Range was obtained under the condition that the state-weighting matrix becomes a positive semi-definite matrix. This paper proposes a method of selecting poles in this range and calculating the weighting matrices by the relational equation. Numerical examples are presented to show the usefulness of the proposed method.