• Title/Summary/Keyword: linear optimal control

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[ $H_2$ ]-optimal Control with Regional Pole Assignment via State Feedback

  • Wang Guo-Sheng;Liang Bing;Duan Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.653-659
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    • 2006
  • The design of $H_2$-optimal control with regional pole assignment via state feedback in linear time-invariant systems is investigated. The aim is to find a state feedback controller such that the closed-loop system has the desired eigenvalues lying in some desired stable regions and attenuates the disturbance between the output vector and the disturbance vector. Based on a proposed result of parametric eigenstructure assignment via state feedback in linear systems, the considered $H_2$-optimal control problem is changed into a minimization problem with certain constraints, and a simple and effective algorithm is proposed for this considered problem. A numerical example and its simulation results show the simplicity and effectiveness of this proposed algorithm.

Beam-rotating machinery system active vibration control using a fuzzy input estimation method and LQG control technique combination

  • Lee, Ming-Hui
    • Smart Structures and Systems
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    • v.10 no.1
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    • pp.15-31
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    • 2012
  • This study proposes an active control method to suppress beam-rotating machinery system vibrations. The present control method is a combination of the fuzzy input estimation method (FIEM) and linear quadratic Gaussian problem (LQG) algorithms. The FIEM can estimate the unknown input and optimal states by measuring the dynamic displacement, the optimal estimated states into the feedback control; thereby obtaining the optimal control force for a random linear system. Active vibration control of a beam-rotating machinery system is performed to verify the feasibility and effectiveness of the proposed algorithm. The simulation results demonstrate that the proposed method can suppress vibrations in a beam-machine system more efficiently than the conventional LQG method.

A Study on Linear Matrix Inequalities Robust Active Suspension Control System Design Algorithm

  • Park, Jung-Hyen
    • Journal of information and communication convergence engineering
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    • v.6 no.1
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    • pp.105-109
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    • 2008
  • A robust optimal control system design algorithm in active suspension equipment adopting linear matrix inequalities control system design theory is presented. The validity of the linear matrix inequalities robust control system design in active suspension system through the numerical examples is also investigated.

Load Frequency Control by Optimal Linear Tracking (최적선형 추적법에 의한 부하-주파수제어)

  • 김훈기;곽노홍;문영현
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.83-92
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    • 1989
  • This paper presents a load frequency control by optimal linear tracking, which can be well adapted to practical power systems with successive load disturbances. Conventional Load Frequency Controls (LEC's) have a feedback control scheme of the state error deviated from the post-disturbance steady state. This requires the modification of reference everytime the system encounters load changes. In this study, a new feedback scheme of LEC is developed by using the optimal linear tracking method with a fixed reference. As a result, the proposed LFC, which requires no reference modification, can be efficiently applied to power systems with successive disturbances such as load changes due to the on-off operations of reclosers or feeder switches. Another feature of the proposed LFC is that it adopts an algorithm to calculate an optimal post-fault steady state with the consideration of control input changes. The proposed LFC has been tested for a 2-area power system, which shows that it can be well adapted to successive load disturbances with good frequency response.

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Optimal Control of a Coarse/Fine Position Control System with Constraints (제한조건물 고려한 조미동 위치제어 시스템의 최적제어)

  • 주완규;최기상;최기흥
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.344-344
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    • 2000
  • Recently, the demand for high precision and large stroke in linear positioning systems is increasing in industry. A coarse-fine position control system composed of a linear motor and a piezoelectric actuator has such characteristics. Many optimal control laws have been applied to the position control of coarse-fine actuators but most of them did not take account into constraints. In this study, model predictive control (MPC) method with constraints is applied to the position control of the coarse-fine actuator and the performance of MPC is compared with those of conventional control laws.

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Control of Wafer Temperature Uniformity in Rapid Thermal Processing using an Optimal Iterative teaming Control Technique (최적 반복 학습 제어기법을 이용한 RTP의 웨이퍼 온도균일제어)

  • 이진호;진인식;이광순;최진훈
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.358-358
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    • 2000
  • An iterative learning control technique based on a linear quadratic optimal criterion is proposed for temperature uniformity control of a silicon wafer in rapid thermal processing.

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A study on the development of a corridos control model in the framework of the ITS (도로지능화를 위한 교통축제어모형 개발에 관한 연구)

  • Kim, Dong-Sun
    • Journal of Korean Society for Geospatial Information Science
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    • v.5 no.2 s.10
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    • pp.29-43
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    • 1997
  • An integrated optimal control modelhas been formulated to address dynamic freeway diversion control process. The purpose of this paper is to develop an effective and efficient approach for simultaneous]v solving optimal control measures, including on-ramp metering rates, off-ramp diversion rates, and g/C ratios for traffic signals, on a real-time basis. By approximating the flow-density relation with a two-segment linear function, the non-linear optimal control problem can be simplified into a set of piece-wised linear programming models and solved with the proposed SLP algorithm. consequently, an effective on-line feedback method has been developed for integrated freeway corridor control in the framework of the ITS

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A study on the design of the optimal nonlinear controller for single state feedback (단일상태 feedback을 가지는 계의 최적 비선형제어기 설계에 관한 연구)

  • 노용균;조겸래
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.206-209
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    • 1988
  • For feedback control of a linear dynamic system the optimum linear slace regulator (OLSR) can be implemented only if all state are available for feedback. This work demonstrates that when only the output state is available for feedback, a nonlinear controllers can be improved performance over that obtained by a proportional controller. This paper found the optimal control law by well-known dynamic programming and principles of optimality. Thus, performance of both proportional and nonlinear controllers is compared with performance of optimum linear state regulator.

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Optimal Controller for Near-Space Interceptor with Actuator Saturation

  • Fan, Guo-Long;Liang, Xiao-Geng;Hou, Zhen-Qian;Yang, Jun
    • International Journal of Aeronautical and Space Sciences
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    • v.14 no.3
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    • pp.256-263
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    • 2013
  • The saturation of the actuator impairs the response performance of the near space interceptor control system. A control system based on the properties of linear tracking system is designed for this problem. The properties are that the maximum value of the pseudo-Lyapunov function of the linear tracking control system do not present at the initial state but at the steady state, based on which the bounded stability problem is converted into linear tracking problem. The pseudo-Lyapunov function of the linear tracking system contain the input variables; the amplitude and frequency of the input variables affect the stability of the nonlinear control system. Designate expected closed-loop poles area for different input commands and obtain a controller which is function of input variables. The coupling between variables and linear matrices make the control system design problem non-convex. The non-convex problem is converted into a convex LMI according to the Shur complement lemma and iterative algorithm. Finally the simulation shows that the designed optimal control system is quick and accurate; the rationality of the presented design techniques is validated.

State estimation of stochastic bilinear system (추계 이선형 시스템의 상태추정)

  • 황춘식
    • 전기의세계
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    • v.30 no.11
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    • pp.728-733
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    • 1981
  • Most of real world systems are highly non-linear. But due to difficulties in analyzing and dealing with it, only the linear system theory is well estabilished. Bilinear system where state and control are linear but not linear jointly is introduced. Here shows that optimal state estimation of stochastic bilinear system requirs infinite dimensional filter, thus onesub-optimal estimator for this system is suggested.

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