• Title/Summary/Keyword: controller design problem

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LQG/LTR controller design for ground alignment of intertial platform

  • Kim, Jong-Kwon;Shin, Yong-Jin;Cho, Kyeum-Rae
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.372-375
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    • 1995
  • The LQG/LTR controller design procedure for ground alignment of inertial platform is accomplished. Due to the alignment system dynamics, LQG/LTR controller is proposed to overcome both singular problem and nonsquare problem. To show the effectiveness of this control system, computer simulation was performed under the assumption of random sway motion.

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The design of a robust controller for nonlinear systems with input saturation (입력한계를 갖는 비선형시스템을 위한 견실제어기의 설계)

  • Choi, Hyeung-Sik;Lee, Min-ho
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.108-115
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    • 1997
  • This paper presents a robust controller design for uncertain nonlinear systems with input saturation. In actual application, the robust controller may require a high input torque so that it faces input saturation due to power limitation of the system. The satruation problem may cause instability of the system. To improve this problem, a robust controller using a fuzzy logic control is proposed. The proposed controller keeps state errors bounded. To validate the proposed controller, an invert pendulum and its control system is set up. The experimental result shows bounded angular position errors under saturated input torques.

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H$\infty$ State Feedback Control for Generalized Continuous/Discrete Time Delay System

  • Kim, Jong-Hae;Jeung, Eun-Tae;Lee, Sang-Kyung;Park, Hong-Bae
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.163-169
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    • 1998
  • In this paper, we consider the problem of designing H$\infty$ state feedback controller for the generalized time systems with delayed states and control inputs in continuous and discrete time cases, respectively. The generalized time delay system problems are solved on the basis of LMI(linear matrix inequality) technique considering time delays. The sufficient condition for the existence of controller and H$\infty$ state feedback controller design methods are presented. Also, using some changes of variables and Schur complements, the obtained sufficient condition can be rewritten as a LMI form in terms of transformed variables. The propose controller design method can be extended into the problem of robust H$\infty$ state feedback controller design method easily.

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Wiener-Hopf Design of the Two-Degree-of-Freedom Controller for the Standard Model (표준 모델의 2자유도 위너-호프 제어기 설계)

  • Jo, Yong-Seok;Choe, Gun-Ho;Park, Gi-Heon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.3
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    • pp.102-110
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    • 2000
  • In this paper, Wiener-Hopf design of the two-degree-of-freedom(2DOF) controller configuration is treated for the standard plant model. It is shown that the 2DOF structure makes it possible to treat the design of feedback properties and reference tracking problem separately. Wiener-Hopf factorization technique is used to obtain the optimal controller which minimizes a given quadratic cost index. The class of all stabilizing controllers that yield finite cost index is also characterized. An illustrative example is given for the step reference tracking problem which can not be treated by the conventional H2 controller formula.

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The Solving of Ambiguity Problem on the Hybrid Control for Robot Manipulator (로보트 매니퓰레이터의 하이브리드 제어시 발생하는 애매함의 극복)

  • 정상근;박종국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.10
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    • pp.59-68
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    • 1992
  • In this paper, we proposed coordinator description and ambiguity on the hybrid controller for position/force control of robot manipulator. When the hybrid controller is desiged based on the PID control conception, the parameter sharing problem must be considered. However, selection problem of coordinate system on n-DOF robot manipulator control is unsolved. Moreover, contact force on object and change of shape make another problems. And it is very difficult to figure out the accurate mathematical model of manipulator on account of ambiguity and nonlinearity of actuator. Therfore, we design a new hybrid controller, FPID(Fuzzy PID). For verifying the validity of the controller, we tried computer simulation of this system. As a result, we can get remarkable improvement of overdamping and overshooting. Also we can solve compicance problem effectively. Furthermore, ambiguity problem is solved by adding control knowledge based compensator. So robust controller can be acheived, too.

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Mixed $H^{2}$/$H^{\infty}$ controller design for linear system with time delay and parameter uncertainty (시간지연 및 파라미터 불확실성을 갖는 선형시스템의 혼합 $H^{2}$/$H^{\infty}$ 제어기 설계)

  • 이갑래;정은태;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.560-564
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    • 1996
  • A mixed H$^{2}$/$H^{\infty}$ controller design method for linear systems with time delay in all variables and parameter uncertainties in all system matrices is proposed. Robust $H^{\infty}$ performance and H$^{2}$ performance condition that accounts for model-matching of closed loop system and disturbance rejection is also derived. With expressing uncertain system with linear fractional transformation form, we transform the robust stability and performance problem to the H$^{2}$/$H^{\infty}$ optimization problem and design a mixed H$^{2}$/$H^{\infty}$ controller. Using the proposed method, mixed H$^{2}$/$H^{\infty}$ controller for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.t performance.ance.

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Control Allocation and Controller Design for Marine Vessel based on H Control Approach (선박운동제어를 위한 제어력분배 및 제어기설계에 관한 연구)

  • Ji, Sang-Won;Kim, Young-Bok
    • Journal of Ocean Engineering and Technology
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    • v.26 no.3
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    • pp.20-25
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    • 2012
  • In this paper, the authors propose a new approach to the control problem of marine vessels that are moored or controlled by actuators. The vessel control system is basically based on Dynamic Positioning System (DPS) technology. The main object of this paper is to obtain a more useful control design method for DPS. In this problem, the control allocation is a complication. For this problem, many results have been given and verified by other researchers using a two-step process, with the controller and control allocation design processes carried out individually. In this paper, the authors provide a more sophisticated design solution for this issue. The authors propose a new design method in which the controller design and control allocation problems are considered and solved simultaneously. In other words, the system stability, control performance, and allocation problem are unified by an LMI (linear matrix inequality) based on control theory. The usefulness of the proposed approach is verified by a simulation using a supply vessel model.

Adaptive Fuzzy Sliding Mode Controller for Nonaffine Nonlinear Systems

  • Park, Jang-Hyun;Kim, Dong-Won;Huh, Sung-Hoe;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.62.6-62
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    • 2002
  • $\textbullet$ Introduction $\textbullet$ Problem Formulation $\textbullet$ Feedback Linearizing Controller Design $\textbullet$ Fuzzy System to Cancel System Uncertainty $\textbullet$ Adatptive Fuzzy Sliding Mode Controller Design $\textbullet$ Simulations $\textbullet$ Conclusions

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A Study on the Position Control of a Ball-Balancing System (볼 밸런싱 시스템의 위치 제어에 관한 연구)

  • Choi, Soo-Young;Choi, Goon-Ho;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.712-714
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    • 1999
  • Ball-balancing control systems are ideal to demonstrate the design and hardware implementation Procedures of optimal controllers based on modern control theory. This paper presents the design of an $H_2$ optimal controller based on the generalized plant model of the ball-balancing system. The problem of balancing a metal ball on the midpoint of a beam is ultimately related to a regulating problem. So, the designed controller is correspond to this problem. The controller was experimented by DSP(digital signal processing) equipments and simulated by MATLAB. The performance of controller was verified through the experiments.

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Guaranteed Cost Controller Design Method for Singular Systems with Time Delays using LMI (선형행렬부등식을 이용한 시간지연 특이시스템의 보장비용 제어기 설계방법)

  • 김종해
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.3
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    • pp.99-108
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    • 2003
  • This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and the upper bound of guaranteed cost function can be obtained simultaneously. Moreover, the proposed controller design method can be extended to the problem of robust guaranteed cost controller design method for singular systems with parameter uncertainties and time-varying delays. The validity of the proposed design algorithm is investigated through a numerical example.