• 제목/요약/키워드: optimal linearization

검색결과 84건 처리시간 0.02초

최적 선형화 기반 디지털 재설계 기법을 이용한 편대 비행의 샘플치 제어 (Sampled-Data Control of Formation Flying using Optimal Linearization)

  • 이호재;김도완
    • 제어로봇시스템학회논문지
    • /
    • 제15권1호
    • /
    • pp.61-66
    • /
    • 2009
  • This paper proposes an efficient sampled-data controller design technique for formation flying. To deal with the nonlinearity in the formation flying dynamics and to obtain a linear, rather than affine, model, we utilize the optimal linearization technique. The digital redesign technique is then developed based on the optimal linear model and formulated in terms of linear matrix inequalities. Simulation results show the advantage of the proposed methodology over the conventional controller emulation technique.

열간사상압연기의 루퍼 ILQ 제어에 있어 선형화 기법에 따른 제어기 구조 및 성능 (Controller Structure and Performance According to Linearization Methods in the Looper ILQ Control for Hot Strip Finishing Mills)

  • 박철재;황이철
    • 제어로봇시스템학회논문지
    • /
    • 제13권4호
    • /
    • pp.377-384
    • /
    • 2007
  • This paper studies on the relation between linearization methods and controller gains in the looper ILQ(lnverse Linear Quadratic optimal control) system for hot strip finishing mills. Firstly, two linear models arc respectively derived by a linearization method using Taylor's series expansion and a static state feedback linearization method, respectively, and the linear models are compared with the nonlinear model. Secondly, the looper servo controllers are respectively designed on the basis of two linearization models. Finally, the relation between the performances of two ILQ servo controllers and the linearization methods, and the structures and control gains of two controllers are evaluated by a computer simulation.

Feedback Linearization for the Looper System of Hot Strip Mills

  • Hwang, I-Cheol;Kim, Seong-Bae
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2002년도 ICCAS
    • /
    • pp.56.5-56
    • /
    • 2002
  • This paper studies on the feedback linearization of the looper system for hot strip mills, where the looper system plays an important role in regulating the strip tension. Firstly, nonlinear dynamic equations of the looper system are simply introduced. Secondly, using the static feedback linearization algorithm, a linear model of the looper system is obtained, of which usefulness is validated from comparison between the linear model and the nonlinear model, and design of LQI(Linear Ouadratic Integral optimal control) and ILQ (Inverse Linear Quadratic optimal control) looper control systems. In result, it is shown that the linear looper model by the feedback linearization well describes nonlin...

  • PDF

Linearization of T-S Fuzzy Systems and Robust Optimal Control

  • Kim, Min-Chan;Wang, Fa-Guang;Park, Seung-Kyu;Kwak, Gun-Pyong;Yoon, Tae-Sung;Ahn, Ho-Kyun
    • Journal of information and communication convergence engineering
    • /
    • 제8권6호
    • /
    • pp.702-708
    • /
    • 2010
  • This paper proposes a novel linearization method for Takagi.sugeno (TS) fuzzy model. A T-S fuzzy controller consists of linear controllers based on local linear models and the local linear controllers cannot be designed independently because of overall stability conditions which are usually conservative. To use linear control theories easily for T-S fuzzy system, the linearization of T-S fuzzy model is required. However, The linearization of T-S fuzzy model is difficult to be achieved by using existing linearization methods because fuzzy rules and membership functions are included in T-S fuzzy models. So, a new linearization method is proposed for the T-S fuzzy system based on the idea of T-S fuzzy state transformation. For the T-S fuzzy system linearized with uncertainties, a robust optimal controller with the robustness of sliding model control(SMC) is designed.

비대칭형 유압실린더를 사용한 능동현가 시스템에서의 Feedback Linearization을 이용한 최적 제어기 설계 (Optimal controller design for active suspension system with asymmetric hydraulic cylinder using feedback linearization)

  • Jang, Yu-Jin;Kim, Sang-Woo;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
    • /
    • pp.644-647
    • /
    • 1997
  • Asymmetric cylinders are usually used as an actuator of active suspensions. The conventional optimal controller design does not include actuator dynamics as a state and force controller is needed to track the desired force. But the actuator is not ideal, so performance of an active suspension system is degraded. In this paper, we take account nonlinear actuator dynamics and obtain a linear model using a feedback linearization technique then apply optimal control method. Effectiveness of proposed method is demonstrated by numerical simulation of 1/4 car model.

  • PDF

수중글라이더의 최적선형화 모델기반 강인제어기 설계 (Optimal Linearization-Based Robust Controller Design for Underwater Glider)

  • 문지현;이호재
    • 전기학회논문지
    • /
    • 제65권12호
    • /
    • pp.2023-2029
    • /
    • 2016
  • This paper addresses a robust controller design technique for a nonlinear underwater glider with disturbances. We consider the buoyancy and pitching moment as control inputs, which generate additional nonlinearity on the plant dynamics. To deal with the nonlinearity, we utilize the optimal linearization technique. The conditions for the optimal linearization and the controller design are formulated in terms of matrix inequalities. The effectiveness of the proposed method is demonstrated through a simulation.

Orbital maneuvers by using feedback linearization method

  • Lee, Sanguk
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
    • /
    • pp.480-485
    • /
    • 1993
  • A method for obtaining optimal orbital maneuvers of a space vehicle has been developed by combining feedback linearization method with the elegance of the Lambert's theorem. To obtain solutions to nonlinear orbital maneuver problems. The full nonlinear equations of motion for space vehicle in polar coordinate system are transformed exactly into a controllable linear set in Brunovsky canonical form by using feedback linearization by choosing position vector as fully observable output vector. These equations are used to pose a linear optimal tracking problem with a solutions to Lambert's problem and a linear analytical solution of continuous low thrust problem as reference trajectories.

  • PDF

피드백 선형화를 이용한 비선형 시스템에 대한 최적 제어 (The optimal control for a nonlinear system using the feedback linearization)

  • 이종용;이원석
    • 대한전자공학회논문지TE
    • /
    • 제42권3호
    • /
    • pp.25-30
    • /
    • 2005
  • 대부분의 경우, 비선형 최적 제어 문제는 헤밀톤-야코비 방정식(Hamilton-Jacobi equations)을 풀어야하는데, HJEs는 해석적으로 답을 구하기가 매우 어렵다. 그래서 이러한 어려움은 비선형 시스템에 피드백 선형화를 적용하여, 선형화된 시스템을 얻고, 선형화된 선형 시스템에 대한 최적 제어 문제를 고려하게 되었다. 본 논문에서는 간단한 비선형 시스템의 예에 최적 제어 설계 기법과 피드백 선형화 제어기, 선형 제어기를 적용하여, 최적 성능을 평가함으로서, 피드백 선형화 최적 제어가 적용되는 비선형 시스템의 조건을 제시한다.

비선형제어계의 선형화에 의한 근사해의 연구 (Approximation method of nonlinear control system by linearization)

  • 양흥석;김경기
    • 전기의세계
    • /
    • 제22권1호
    • /
    • pp.28-34
    • /
    • 1973
  • This paper treats with the sub-optimal control problem of noninear systems by approximation method. This method involves the approximation by linearization which provides the sub-optimal solution of non-linear control problems. The result of this work shows that, in the problem in which the controlled plant is characterized by an ordinary differential equation of first order, the solution obtained by this method coincides with the exact solution of problem. In of case of the second or higher order systems, it is proved analytically that this method of linearization produces the sub-optimal solution of the given problem. It is also shown that the sub-optimality of solution by the method can be evaluated by introducing the upper and lower bounded performance indices. Discussion is made on the procedure with some illustrative examples whose performance indices are given in the quadratic forms.

  • PDF

Feedback Linearization Control of the Looper System in Hot Strip Mills

  • Hwang, I-Cheol;Kim, Seong-Bae
    • Journal of Mechanical Science and Technology
    • /
    • 제17권11호
    • /
    • pp.1608-1615
    • /
    • 2003
  • This paper studies on the linearization of a looper system in hot strip mills, that plays an important role in regulating a strip tension or a strip width. Nonlinear dynamic equations of the looper system are analytically linearized by a static feedback linearization algorithm with a compensator. The proposed linear model of the looper is validated by a comparison with a linear model using Taylor's series. It is shown that the linear model by static feedback well describes nonlinearities of the looper system than one using Taylor's series. Furthermore, it is shown from the design of an ILQ controller that the linear model by static feedback is very useful in designing a linear controller of the looper system.