• Title/Summary/Keyword: state-feedback control

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Optimal Control of Stochastic Bilinear Systems (확률적 이선형시스템의 최적제)

  • Hwang, Chun-Sik
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.31 no.7
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    • pp.18-24
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    • 1982
  • We derived an optimal control of the Stochastic Bilinear Systems. For that we, firstly, formulated stochastic bilinear system and estimated its state when the system state is not directly observable. Optimal control problem of this system is reviewed on the line of three optimization techniques. An optimal control is derived using Hamilton-Jacobi-Bellman equation via dynamic programming method. It consists of combination of linear and quadratic form in the state. This negative feedback control, also, makes the system stable as far as value function is chosen to be a Lyapunov function. Several other properties of this control are discussed.

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Adaptive State Feedback Control System of DC Motors with Periodic Random Disturbance (주기적 확률외란을 갖는 DC 전동기의 적응형 상태궤환 제어시스템)

  • Jeong, Sang-Chul;Kim, Jun-Su;Cho, Hyun-Cheol;Lee, Hyung-Ki
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.6
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    • pp.1036-1041
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    • 2008
  • Periodic disturbance is practically occurred in several engineering applications, especially in data storage systems. However, recently addressed controls for such problem were mostly dealt with its deterministic nature, which is rarely practical in real-time implementation. We present an adaptive control approach for DC motor systems with periodic stochastic disturbance whose frequency and magnitude are both random variables. We establish adaptive state feedback control which is linearly composed of nominal and corrective control parameter matrices. The former is derived from a nominal system model voiding disturbance and the latter is constructed from a disturbed system model by using Lyapunov stability theory. We carry out computer simulation to evaluate the proposed control methodology and compare to the recently addressed control method to demonstrate its superiority.

A Study on the Analysis and Design of Nonlinear Control Systems using Personal Computer (개인용 컴퓨터를 이용한 비선형 제어 시스템의 해석 및 설계에 관한 연구)

  • Nam, Moon-Hyun;Jeong, Cheol
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.82-85
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    • 1987
  • The objective of this paper is to develop computer programs to aid in the design and analysis of control systems in which nonlinear characteristics exist. Control systems are dynamic systems, which can be described using various mathematical models. A convenient model for digital computer simulation is the state model in which described using a set of linear and non linear first order differential equations. The digital simulation was performed on a IBM PC/XT personal computer, and the computer language was BASIC. There are four possible configurations from which a user may choose. When running a program, the user is asked to enter the system parameters according to a specified control system configurations are; 1. A control system with a nonlinear element followed by a plant in a feedback configurations(NLSVF1). 2. A control system with a nonlinear device situated between two plants in a feedback configurations(NLSVF2). 3. A control system with a nonlinear element followed by a plant, followed by a the dealy in feedback configurations(TLAG). 4. A motor and load with a backlash nonlinearity between dynamic portions of the motor/load configurations (BACKLASH). The matrix from state equations are integrated using combination the trapezoidal method and fixed point iteration. Several cases which have nonlinearity were implemented on the computer and the results were discussed.

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Feasible and Invariant Sets For Input Constrained Linear Parameter Varying Systems

  • Lee, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1911-1916
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    • 2003
  • Parameter set of an LPV system is divided into a number of subsets so that robust feedback gains may be designed for each subset of parameters. A concept of quasi-invariant set is introduced, which allows finite steps of delay in reentrance to the set. A feasible and positively invariant set with respect to a gain-scheduled state feedback control can be easily obtained from the quasi-invariant set. A receding horizon control strategy can be derived based on this feasible and invariant set.

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Derivative Feedback control of Robot Contact Force (Experimantal Investigation) (로보트 접촉력의 미분 피이드백제어 - (실험적 검토))

  • 김영탁;이종원;권영웅
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.140-144
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    • 1990
  • On force control of robot, the transient response of the force is as important as the steady state value. We analyze the force for an 1 d.o.f. model. Based on the analysis, we finds out a desirable condition of the control system parameters for stability of the force. We propose a force rate feedback control for implementation. Through experiments we shows that the force can be controlled stably for an arbitrary environment.

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Pressure Control of a Pneumatic Conrol system with a long Transmission Line (긴 전달관로를 갖는 공압제어계의 압력 제어)

  • Jang, Ji-Seong;Lee, Kwang-Kuk;Choi, Myung-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.567-576
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    • 2003
  • In this study, a robust controller to control pressure in a pneumatic pressure vessel with a long transmission line is proposed. Frequency response of transmission line using compressible fluid is changed by the flowing state of the fluid. So, it a fixed gain controller designed based on a model supposed the flowing state to a specific state, the performance of the control system could be degraded because of the modelling error. The controller designed in this study is composed of two parts. One is a feedback controller to improve a feedback characteristics and to compensate the influence of the variation of transfer characteristics of a transmission line owing to the change of flowing state and the other is a feedforward controller to regulate command fallowing performance. The experimental results with the designed controller show that the robustness of the control system is achieved regardless of the change of the model or the transmission line. Therefore, the designed controller can be utilized for the Performance improvement of a Pressure control system with a long transmission line using compressible fluid.

마이크로컴퓨터를 이용한 최적축 위치제어

  • Jo, Yong-Hyeon
    • ETRI Journal
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    • v.6 no.2
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    • pp.3-9
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    • 1984
  • This paper proposes an optimal control scheme for shaft position control using microcomputer-based state-variable feedback. In this scheme a performance index was set up in order to ruduce the overshoot and improve the steady- state response speed, and the time-variant system parameters were identified in real time for optimal control. As a result of experiment, the over-shoot was not occured and the response speed was improved 2. 9 times about proportional control. This scheme improves the performance against the variation of load and sampling time, and adding the integral control in this scheme can reduce the steady-state error without any change in response time.

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State Feedback Stabilization of Network Based Control Systems with Time-varying Delay (시변시간지연을 가지는 네트워크 기반 시스템의 상태궤환 안정화)

  • Jung Eui-Heon;Shu Young-Su;Lee Hong-Hee
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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    • pp.741-746
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    • 2004
  • When investigating a control problem for network based control systems, the main issue is network-induced delay. This delay can degrade the performance of control systems designed without considering the delay and even destabilize the system. In this paper, we consider the stabilization of network based control systems, where there is bounded time-varying delay. This delay is treated like parameter variation of a discrete time system. The state feedback controller design is formulated as linear matrix inequality. Finally, we show that the stability of control systems designed with considering the delay is superior to that is not so.

Design of Multirate Controller using a Current Estimator (Current Estimator를 이용한 멀티레이트 제어기 설계)

  • 황희철;정정주
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.190-190
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    • 2000
  • This paper presents a multirate state feedback control (MRSFC) method for systems sensitive to disturbance and noise based on the multirate estimator design using the current estimator. MRSFC updates the controller output slower than the measurement sampling frequency of system output by a lifting factor R=T$\sub$c//T$\sub$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 is obtained from 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).

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Accurrate Position Control of Pneumatic Manipulator Using On/Off Valves (On/Off 밸브를 이용한 공압 매니퓰레이터의 고정도 위치제어)

  • Pyo Sung Man;Ahn Kyoung Kwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.2
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    • pp.103-108
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    • 2005
  • Loading/Unloading task in the real industry is performed by crane, but most of the loading/unloading task with the weight of 5kg∼30kg is done by human workers and this kind of work causes industrial disaster of workers. Therefore it is necessary to develop low cost loading/unloading manipulator system to prevent this kind of industrial accidents. This paper is concerned with the design and fabrication of 2 axis pneumatic manipulators using on/off solenoid valves and accurate position control without respect to the external load and low damping in the pneumatic rotary actuator. To overcome the change of external load, switching of control parameter using LVQNN (Learning Vector Quantization Neural Network) is newly applied, which estimates the external loads in the pneumatic cylinder. As an underlying controller, a state feedback controller using position, velocity and acceleration is applied to the switching control system. The effectiveness of the proposed control algorithms are demonstrated through experiments of pneumatic cylinder with various loads.