• Title/Summary/Keyword: Linearization Method

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Design of a controller for input time-delay nonlinear system

  • Choi, Hyung-Jo;Choi, Yong-Ho;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.548-552
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    • 2005
  • In most physical processes, the transfer function includes a time-delay, and in the general distributed control system using a computer network, an inherent time-delay exists due to the spatial separation between controllers and actuators. Under the circumstance where an input time-delay exits, the system response overshoots and tends to diverge. For this reasons described above, a controller design method is proposed for a discrete nonlinear system including input time-delay, which adopts the time-discretization using Taylor series. Controllers are synthesized using an input/output linearization method. Finally, several cases of the computer simulations were conducted, and the results validate the proposed methods.

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Temperature Control of a Reheating Furnace using Feedback Linearization and Predictive Control

  • Park, Jae-Hun;Jang, Yu-Jin;Kim, Sang-Woo
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.27.1-27
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    • 2001
  • Reheating furnace is a facility of heating up the billet to desired high temperature in the hot charge rolling process and it consists of 3 zones. Temperature control of reheating furnace is essential for successful rolling performance and high productivity. Mostly, temperature control is carried out using PID controller However, the PID control is not effective due to the nonlinearity of the reheating furnace(i.e, presence of the interference of neighboring zones and slow response of temperature etc.). In this paper, feedback linearization method is applied to obtain a linear model of the reheating furnace. Then, controller is designed using simple predictive control method. The effectiveness of this strategy is shown through simulations.

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A performance anaylsis technique for guided weapons (유도무기체계의 성능분석기법)

  • 이연석;이장규;장상근
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.274-279
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    • 1991
  • The development of a guided weapon system, such as a tactical missile, requires a performance analysis of a nonlinear system. Generally, the Monte Carlo analysis method is used for this purpose. The limitation of this method, a large number of simulations, for a nonlinear system performance analysis strongly motivated the development of a more efficient analytic technique. In this paper, the statisfical linearization methods is used for the performance analysis to the guided weapon system with the help of covariance analysis technique. Because the statistical linearization methods cannot be used to the look-up table nonlinear form such as aerodynamic coefficients, the second order polynomial representations is obtained from the table using the Lagrange interpolating polynomial and linearized statistically. Simple simulations about initial state conditions and random component in guidance command shows the results of this technique.

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Robust Predictive Control of Uncertain Nonlinear System With Constrained Input

  • Son, Won-Kee;Park, Jin-Young;Kwon, Oh-Kyu
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.4
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    • pp.289-295
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    • 2002
  • In this paper, a linear matrix inequality(LMI)-based robust control method, which combines model predictive control(MPC) with the feedback linearization(FL), is presented for constrained nonlinear systems with parameter uncertainty. The design procedures consist of the following 3 steps: Polytopic description of nonlinear system with a parameter uncertainty via FL, Mapping of actual input constraint by FL into constraint on new input of linearized system, Optimization of the constrained MPC problem based on LMI. To verify the performance and usefulness of the control method proposed in this paper, some simulations with application to a flexible single link manipulator are performed.

Output Tracking of an Unmanned Tandem Helicopter Based On Dynamic Augment Method

  • Hu, Chun-hua;Zhu, Ji-hong;Huang, Xing-li;Hu, Jin-chun;Sun, Zeng-qi
    • International Journal of Control, Automation, and Systems
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    • v.2 no.2
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    • pp.156-164
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    • 2004
  • The unmanned tandem helicopter, which is a MIMO nonlinear system with complexity and inherent instability, exists in unstable zero dynamics. In this paper, approximate linearization is presented to design the controller for output tracking of an unmanned tandem helicopter based on the dynamic augment method, and the simulation results are encouraging.

Design of LFT-Based T-S Fuzzy Controller for Model-Following using LMIs (선형 행렬부등식과 분해법을 이용한 퍼지제어기 설계)

  • 손홍엽;이희진;조영완;김은태;박민용
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.123-128
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    • 1998
  • This paper proposes design of LFT-based fuzzy controllers for model-following, which are better than the previous input-output linearization controllers, which are not able to follow the model system states and which do not guarantee the stability of all states. The method proposed in this paper provides a LFT-based Takagi-Sugeno(T-S) fuzzy controller with guaranteed stability and model-following via the following steps: First, using LFT(Linear Fractional Transformation) and T-S fuzzy model, controllers, are obtained. Next, error dynamics are obtained for model-following, and errors go to 0(zero). Finally, a T-s fuzzy controller that can stabilizxe the system with the requirement on the control input satisfied is obtained by solving the LMIs with the MATLAB LMI Control Toolbox and a model-following controller is obtained. Simulations are performed for the LFT-based T-S fuzzy controller designed by the proposed method, which show better performance than the results of input-out ut linearization controller.

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Leaderless Formation Control Strategy and Stability Analysis for Multiple UAVs (리더가 없는 방식의 다수 무인기 편대비행 제어와 안정성 해석)

  • Seo, Joong-Bo;Ahn, Chae-Ick;Kim, You-Dan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.10
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    • pp.988-995
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    • 2008
  • A consensus-based feedback linearization method is proposed to maintain a specified time-varying geometric configuration for formation flying of multiple autonomous vehicles. In this approach, there exists no explicit leader in the team, and the proposed control strategy requires only the local neighbor-to-neighbor information between vehicles. The information flow topology between the vehicles is defined by Graph Laplacian matrix, and the formation flying can be achieved by the proposed feedback linearization with consensus algorithm. The stability analysis of the proposed controller is also performed via eigenvalue analysis for the closed-looop system. Numerical simulation is performed for rotary-wing type micro aerial vehicles to validate the performance of the proposed controller.

Analysis and Design of a Pneumatic Vibration Isolation System: Part I. Modeling and Algorithm for Transmissibility Calculation (공압 제진 시스템의 해석과 설계: I. 모델링과 전달율 계산 알고리즘)

  • Moon Jun Hee;Pahk Heui Jae
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.10
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    • pp.127-136
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    • 2004
  • This paper is the first of two companion papers concerning the analysis and design of a pneumatic vibration isolation system. The design optimization of the pneumatic vibration isolation system is required for the reduction of cost, endeavor and time, and it needs modeling and calculation algorithm. The nonlinear models are devised from the fluid mechanical expression for components of the system and the calculation algorithm is derived from the mathematical relationship between the models. It is shown that the orifice makes the nonlinear property of the transmissibility curve that the resonant frequency changes by the amplitude of excited vibration. Linearization of the nonlinear models is tried to reduce elapsed time and truncation error accumulation and to enable the transmissibility calculation of the system with multi damping chambers. The equivalent mechanical models generated by linearization clarify the function of each component of the system and lead to the linearized transfer function that can give forth to the transmissibility exactly close to that of nonlinear models. The modified successive under-relaxation method is developed to calculate the linearized transfer function.

Robust DTC Control of Doubly-Fed Induction Machines Based on Input-Output Feedback Linearization Using Recurrent Neural Networks

  • Payam, Amir Farrokh;Hashemnia, Mohammad Naser;Fai, Jawad
    • Journal of Power Electronics
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    • v.11 no.5
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    • pp.719-725
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    • 2011
  • This paper describes a novel Direct Torque Control (DTC) method for adjustable speed Doubly-Fed Induction Machine (DFIM) drives which is supplied by a two-level Space Vector Modulation (SVM) voltage source inverter (DTC-SVM) in the rotor circuit. The inverter reference voltage vector is obtained by using input-output feedback linearization control and a DFIM model in the stator a-b axes reference frame with stator currents and rotor fluxes as state variables. Moreover, to make this nonlinear controller stable and robust to most varying electrical parameter uncertainties, a two layer recurrent Artificial Neural Network (ANN) is used to estimate a certain function which shows the machine lumped uncertainty. The overall system stability is proved by the Lyapunov theorem. It is shown that the torque and flux tracking errors as well as the updated weights of the ANN are uniformly ultimately bounded. Finally, effectiveness of the proposed control approach is shown by computer simulation results.

Nonlinear Control of Output Voltages of PWM Inverters for Stand-Alone Wind Power Generation (독립형 풍력발전용 PWM 인버터의 출력전압의 비선형 제어)

  • Jang, Jeong-Ik;Koo, Seoung-Young;Lee, Dong-Choon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.12 no.2
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    • pp.131-138
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    • 2007
  • In this paper, a novel nonlinear control method of the CVCF(constant voltage and constant frequency) output voltage for the three-phase PWM inverter with LC output filters is proposed. A nonlinear modeling including the output LC filters is linearized by feedback linearization theory, the controllers of which can be designed based on a linear control theory. It is applied to the DC/AC power conversion of the PWM inverter for stand-alone wind power generation system. It has been verified by the experimental results that the proposed control scheme gives high dynamic responses at load variation as well as a zero steady-state error.