• Title/Summary/Keyword: state feedback controller

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Guaranteed cost control for singular systems with time delays using LMI

  • Kim, Jong-Hae
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.1-44
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    • 2002
  • 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 a 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 upper bound of guaranteed cost function can be obtained simultaneously.

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Switching Control of Ball and Beam System using Partial State Feedback: Jacobian and Two-Step Linearization Methods (자코비안 및 2단 선형화 기법과 부분 상태궤환을 이용한 볼-빔 시스템의 스위칭 제어)

  • Lee, Kyung-Tae;Choi, Ho-Lim
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.5
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    • pp.819-832
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    • 2017
  • We propose a new switching control scheme for a ball and beam system by utilizing two linearization methods. First, the Jacobian linearization is applied and state observer is developed afterward. Then, motivated [6], the approximate input-output linearization is carried out, and after that, the Jacobian linearization is applied along with the design of state observer. Since the second approach requires two linearizations, it is called a two-step linearization method. The state observer is needed for the estimation of the velocities of ball and motor movement. Since the Jacobian linearization based controller tends to provide faster response at the initial time, and after that, the two-step linearization based controller tends to provide better response in terms of output overshoot and convergence to the origin, it is natural to give a switching control scheme to provide the best overall control response. The validity of our control scheme is shown in both simulation and experimental results.

Design of an Estimator for Servo Systems using Discrete Kalman Filter (이산형 칼만 필터를 이용한 서보 시스템의 추정자 설계)

  • Shin, Doo-Jin;Huh, Uk-Youl
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.996-1003
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    • 1999
  • This paper propose a position-speed controller with an estimator which can estimate states and disturbance. The overall control system consists of two parts: the position-speed controller and an estimator. The Kalman filter applied as state-feedback controller is an optimal state estimator applied to a dynamic system that involves random perturbations and gives a linear, unbiased and minimum error variance recursive algorithm to optimally estimate the unknown state. Therefore, we consider the error problem about the servo system modeling and the measurement noise as a stochastic system and implement a optimal state observer, and enhance the estimate performance of position and speed using that. Using two-degree-of freedom(TDOF) conception, we design the command input response and the closed loop characteristics independently. The servo system is to improve the closed loop characteristics without affecting the command imput response. The characteristics of the closed loop system is improved by suppressing disturbance torque effectively with the disturbance observer using a inverse-transfer matrix. Therefore, the performance of overall position-speed controller is enhanced. Finally, the performance of the proposed controller is exemplified by some simulations and by applying the real servo system.

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Design of Static Output Feedback Controllers for Rollover Prevention (차량 전복 방지를 위한 정적 출력 피드백 제어기 설계)

  • Yim, Seongjin;Oh, Dongho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.22 no.1
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    • pp.20-28
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    • 2014
  • This paper presents static output feedback LQ and $H_{\infty}$ controllers for rollover prevention. Linear quadratic static output feedback controllers have been proposed for rollover prevention in such a way to minimize the lateral acceleration and the roll angle. Rollover prevention capability can be enhanced if $H_{\infty}$ controller is designed. To avoid full-state measurement for feedback requirement or sensitiveness of an observer to nonlinear model error, static output feedback is adopted. To design static output feedback controllers, Kosut's method is adopted because it is simple to calculate. Differential braking and active anti-roll bar are adopted as actuators that generate yaw and roll moments, respectively. The proposed method is shown to be effective in preventing rollover through the simulations on nonlinear multi-body dynamic simulation software, CarSim.

A Study on Multirate Control Using a Current Estimator (현재 상태 추정기를 이용한 멀티레이트 제어에 관한 연구)

  • 황희철;정정주;정동실
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.12
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    • pp.1004-1013
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    • 2002
  • A multirate state feedback control (MRSFC) method is proposed for systems sensitive to disturbance and noise based on the multirate estimator design using current estimator. MRSFC updates the controller output slower than the measurement sampling fiequency of system output by a lifting factor $R=T_c/T_s$ The closed-loop MRSFC system is less sensitive to disturbance and noise due to filtering effect than the conventional single-rate control system The multirate estimator gain can be obtained by solving a conventional pole placement problem such that MRSFC has the same spectrum of eigenvalues in the s-plane as the single-rate control. We applied the proposed multirate state feedback controller to a galvanometer servo system Simulation and experimental results show that settling and tracking performances are improved compared with a conventional single-rate pole placement control (PPC).

Identification and Control of a Electro-Hydraulic Servo System Using a Direct Drive Valve (압력제어용 DDV를 이용한 전기.유압 서보시스템의 식별 및 제어)

  • 이창돈;이상훈;곽동훈;이진걸
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.2
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    • pp.124-130
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    • 2003
  • The electro-hydraulic servo system with a servo valve is applied widely in force control. However, the composition of control system using a servo valve is difficult due to nonlinearities in the servo valve, such as square-root terms in flow equation. The electro-hydraulic servo system using a DDV(Direct Drive Valve) instead of a servo valve was proposed and it's characteristics was estimated. The DDV and whole system are modelled by parameter identification using the input-and-output data, then the models are verified by the comparison of simulation with experiment. Also, the state feedback controller has been designed based on this model, then the performance of the electro-hydraulic force servo system using a DDV is evaluated by simulation and experimental results.

Robust ℋ Sampled-Data Control for Takagi-Sugeno Fuzzy Model with Singular Perturbation (특이섭동 타카기-수게노 퍼지모델의 강인 ℋ 샘플치 제어)

  • Kang, Hyoung Bin;Moon, Ji Hyun;Lee, Ho Jae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.9
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    • pp.1524-1530
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    • 2016
  • This paper deals with a robust $H_{\infty}$ sampled-data controller design problem for nonlinear systems in Takagi-Sugeno fuzzy form with singular perturbation. The employed controller takes a state-feedback form. The design condition is represented in terms of linear matrix inequalities. A numerical examples is included to show the effectiveness of the theoretical development.

Design of a Controller for Nonlinear Electrohydraulic Position Control Systems (비선형 전기유압 위치제어시스템용 제어기 설계)

  • 서원모;진강규;하주식;박진길
    • Journal of Advanced Marine Engineering and Technology
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    • v.15 no.2
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    • pp.73-83
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    • 1991
  • A tracking controller which can improve the performance of nonlinear electrohydraulic position control systems is designed and implemented. The method is based on augmenting the system with both compensated integrator and additional integrator, obtaining the feedback control law which stabilizes the linear part of the original nonlinear system, and then readjusting the feedback gains using the describing function method to eliminate the limit cycle in the steady-state. The proposed control law is implemented using OP amplifiers and electronic components, and step and ramp response tests are carried out in the electrohydraulic servomechanism EHS-160. The results show the improvement in both transient and steady-state responses.

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Robust Reliable H$\infty$ a Control of Continuous/Discrete Uncertain Time Delay Systems using LMI

  • Kim, Jong-Hae;Park, Hong-Bae
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.121-127
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    • 1999
  • In this paper, we present robust reliable H$\infty$ controller design methods of continuous and discrete uncertain time delay systems using LMI (linear matrix inequality) technique, respectively. Also the existence conditions of state feedback control are proposed . Using some changes of variables and Schur complements, the obtained sufficient conditions are transformed into an LMI form. The closed loop system by the obtained controller is quadratically stable with H$\infty$ norm bound for all admissible uncertainties, time delay, and all actuator failures occurred within the prespecified set. We show the validity of the proposed method through numerical example.

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Global Regulation of a Class of Nonlinear Systems with Time-varying Delays in the Input and States with Matrix Inequality and Non-predictor Methods (행렬 부등식과 비예측 기법을 이용한 입력과 상태에 시변지연이 있는 비선형 시스템의 전역 안정화)

  • Koo, Min-Sung;Choi, Ho-Lim
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.7
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    • pp.491-495
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    • 2016
  • We deal with the regulation problem of nonlinear systems with time-varying delays in both the states and input. A new state feedback controller with dynamic gains is developed based on matrix inequality and non-predictor methods. The proposed control scheme is analyzed using the Razumikhin theorem, and its effectiveness is demonstrated with simulation results.