• Title/Summary/Keyword: pole placement technique

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Design of a Discrete Time Sliding Mode Controller for Laser Marking System (레이저 마킹 시스템의 이산시간 슬라이딩 모드 제어기 설계)

  • 이충우;채수경;최재모;정정주
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.4
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    • pp.304-311
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    • 2004
  • In this paper we present a technique of discrete-time sliding mode controller design for assigning eigenvalues of sliding mode and determining a convergence rate to sliding surface. First the sliding mode coefficient is designed via Ackermann s formula. Then a linear controller is designed to enforce sliding mode such that the resulting closed loop yields the desired eigenvalues. As we use a linear control instead of nonlinear control, chattering is nearly eliminated. Simulation and experimental results are included to show the effectiveness of the proposed method for Laser Marking System.

Quadcopter stabilization using state feedback controller by pole placement method

  • Tengis, Tserendondog;Batmunkh, Amar
    • International Journal of Internet, Broadcasting and Communication
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    • v.9 no.1
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    • pp.1-8
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    • 2017
  • Nowadays many articles describe the controlling models for four rotor flying vehicle. Basic approaches to the problem of these articles are mathematical expressions describing dynamics of the models of the vehicle and PID control for manipulating the object in 3 dimensional space. Design of control systems is usually started by careful consideration of its mathematical model description. We present a detailed mathematical model for a quad rotor. This paper first considers simulation of quadcopter control based on full state feedback technique with linearization in MATLAB environment and shows the results of the simulations. Finally will be shown experimental results of the state feedback control implemented in real model.

Mixed $\textrm{H}_2/\textrm{H}_infty$ Control with Pole Placement : A Convex Optimization Approach

  • Bambang, Riyanto;Shimemura, Etsujiro;Uchida, Kenko
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.197-202
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    • 1992
  • In this paper, we consider the synthesis of mixed H$_{2}$/H$_{\infty}$ controllers such that the closed-loop poles are located in a specified region in the complex plane. Using solution to a generalized Riccati equation and a change of variable technique, it is shown that this synthesis problem can be reduced to a convex optimization problem over a bounded subset of matrices. This convex programming can be further reduced to Generalized Eigenvalue Minimization Problem where Interior Point method has been recently developed to efficiently solve this problem..

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Fuzzy gain scheduling for the gain tuning of PID controller and its application (PID 제어기의 게인 조절을 위한 퍼지 게인 스케쥴링 기법 및 응용)

  • 전재홍;이진국;김병화;안현식;김도현
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.1
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    • pp.60-67
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    • 1998
  • In this paper, a gain scheduling method of PID controller is proposed using fuzzy logic for balancing control of an inverted pendulum. First, gains of PID controller are calculated using pole-placement technique for the linearized model of an inverted pendulum and these gains are modified by fuzzy logic throughout control operations. A PD controller is used by switching near the set-point to improve the performance. It is illustrated by simulations that the proposed hybrid fuzzy control method yidels smaller rising time and overshoot compared to the fixed-gain PID controller or fuzzy logic-based only PID controller.

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LMI-Based Controller Design of Pneumatic Cylinder (LMI를 이용한 공기압 실린더의 상태제어기 설계)

  • Jang, J.S.;Ji, J.W.;Kim, Y.B.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.5 no.1
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    • pp.1-5
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    • 2008
  • Pneumatic driving systems have hard non-linear characteristic and large friction force compared with driving power. Hence, it cannot be robust against parameter uncertainties, modelling error, disturbance and noise. In this study, we apply a mixed $H_2/H_{\infty}$ control to the generalized plant for a pneumatic driving apparatus system including parameter uncertainty and disturbance. In order to design the $H_2/H_{\infty}$ controller, we use the LMI technique. To evaluate control performance and robust stability of the designed controller, we compare it with a conventional controller such as PVA(Position-Velocity-Acceleration state controller) using the simulation results. As a result, it can be known that designed controller shows better robust stability than the conventional controller.

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Controller Design of a DC-DC Converter using an Optimal Control Theory (최적제어이론을 이용한 DC-DC 컨버터의 제어기 설계)

  • Lee, S.H.;Bae, E.K.;Sin, C.J.;Jeon, K.Y.;Jeon, J.Y.;Oh, B.H.;Lee, H.G.;Han, K.H.
    • Proceedings of the KIPE Conference
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    • 2007.07a
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    • pp.421-423
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    • 2007
  • In this paper, The authors apply a state feedback control using an optimal control theory to improve the stability of the control and the dynamic response of the DC-DC converter system with a number of different loads. To execute a this state feedback control, The authors present the pole placement technique using Linear Quadratic Regulator(LQR) to optimally control the system. An integrator can also be included in the open-loop path in order to minimize the steady-state error of the output voltage. To confirm the superiority of the controller, The simulation results are presented.

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The determination of state feedback gains of XPTOS for disk drive servomechanism based on BESSEL filter prototype (XPTOS에 의한 디스크 드라이브 서보메커니즘의 구성시 BESSEL 필터 표준 함수에 근거한 상태피드백이득 결정)

  • Han, K.H.;Lee, J.S.
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.980-983
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    • 1996
  • This paper presents the method of determining state feedback gains of XPTOS for disk drive servomechanism based BESSEL filter prototype. A typical disk drive actuator can be modeled as second order dynamics for low frequencies. However, the response at higher frequencies shows resonant behavior which cannot be easily modeled. XPTOS consists of the nonlinear control region and the linear control region. In the linear control region, the poles of a second order nominal model of plant must be properly relocated by pole placement technique to attenuate resonant modes at high frequency and to attain minimum time state transition. It is difficult to select position to satisfy this object because velocity feedback gain is subjected to position feedback gain in XPTOS. Here poles of BESSEL filter prototype are selected to determine state feedback gains of XPTOS. Simulation results for disk drive servomechanism using XPTOS having state feedback gains by the proposed method are presented.

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Modeling and Anti-sway Control of a Harbor Container Crane (항만 컨테이너 크레인의 모델링과 흔들림 억제 제어 방법)

  • Lim, Chang-Jin;Choi, Chang-Ho;Moon, Sang-Ho;Yang, Byung-Hoon;Kim, Heung-Geun;Choi, Jong-Woo
    • Proceedings of the KIEE Conference
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    • 2005.07b
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    • pp.1465-1467
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    • 2005
  • In this paper, the harbor 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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Control of Longitudinal Tension and Lateral Position of a Moving Web (이송중인 웹의 장력 및 사행제어)

  • Shin, Kee-Hyun;Kwon, Soon-Oh
    • Proceedings of the Korea Technical Association of the Pulp and Paper Industry Conference
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    • 2002.11a
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    • pp.74-80
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    • 2002
  • A mathematical tension model for a moving web in a multi-span web handling system was derived and validated by using a simulator which includes unwinder, driven roller, winder, load cells, controllers, etc. A tension controller was designed to compensate tension disturbances generated by velocity changes of the unwinder and driven roller. From experimental results it was proved that the tension model properly expressed the tension behavior of a moving web for specific conditions. The distributed tension controller designed by using the pole-placement technique compensated the tension disturbances transfered from upsteram tension variation. Interactions between web spans including "tension transfer phenomenon" were clearly confirmed through the study. A mathematical model of lateral motion of a moving web was verified also by using the same experimental apparatus which includes displacement type guidance systems. And a feedforward control strategy was designed for more accurate control of the lateral motion of a moving web, which utilize a measured signal of the lateral displacement of web in a previous span and a more correctly identified mathematical model to estimate the disturbance of lateral motion from the previous span. This approach was turned out to be effective in improving the performance of the guidance system for more wide range disturbances.

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Design of Robust Power System Stabilizers Using Disturbance Rejection Method (외란 소거법을 이용한 강인한 전력 계통 안정화 장치 설계)

  • Kim, Do-Woo;Yun, Gi-Gab;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.1195-1199
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    • 1998
  • In this paper a design method of robust power system stabilizers is proposed by means of robust linear quadratic regulator design technique under power system's operating condition change, which is caused by inner structure uncertainties and disturbances into a power system. It is assumed that the uncertainties present in the system are modeled as one equivalent signal. In this connections an optimal LQR control input for disturbance rejection, the output feedback gain for eliminating the disturbance are calculated. In this case. PSS input signal is obtained on the basis of weighted ${\Delta}P_e$ and $\Delta\omega$. In order to stabilize the overall control of system. Pole placement algorithm is applied in addition. making the poles of the closed loop system to move into a stable region in the complex plane. Some simulations have been conducted to verify the feasibility of the proposed control method on a machine to infinite bus power system. From the simulation results validation of the proposed method could be achieved by comparisons with the conventional PSS with phase lag-lead compensation.

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