• Title/Summary/Keyword: Nonlinear control

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Identification and Control for Nonlinear Discrete Time Systems Using an Interconnected Neural Network

  • Yamamoto, Yoshihiro
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.994-998
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    • 2005
  • A new control method, called a simple model matching, has been recently developed by the author. This is very simple and be applied for linear and nonlinear discrete time systems with/without time lag. Based on this formulation, identification is examined in this paper using an interconnected neural network with the EBP-EWLS learning algorithm. With this result, a control method is also presented for a nonlinear discrete time system.

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Receding Horizon Predictive Control for Nonlinear Time-delay Systems

  • Kwon, Wook-Hyun;Lee, Young-Sam;Han, Soo-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.27.2-27
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    • 2001
  • This paper proposes a receding horizon predictive control (RHPC) for nonlinear time-delay systems. The control law is obtained by minimizing finite horizon cost with a terminal weighting functional. An inequality condition on the terminal weighting functional is presented, under which the closed-loop stability of RHPC is guaranteed, A special class of nonlinear time-delay systems is introduced and a systematic method to find a terminal weighting functional satisfying the proposed inequality condition is given for these systems. Through a simulation example, it is demonstrated that the proposed RHPC has the guaranteed closed-loop stability for nonlinear time-delay systems.

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Sliding Mode Control with Nonlinear Interpolation in Variable Boundary Layer

  • Kim, Yookyung;Jeon, Gijoon
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.35.1-35
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    • 2002
  • $\textbullet$ Sliding mode control (SMC) with nonlinear interpolation in variable boundary layer (VBL) is proposed $\textbullet$ A sigmoid function is used for nonlinear interpolation in VBL. $\textbullet$ The Parameter of the sigmoid function is tuned by fuzzy controller $\textbullet$ The choice of parameter for the sigmoid function is guided by FC. $\textbullet$ The parameter is continuously updated as boundary layer thickness varies. $\textbullet$ The proposed method hasbetter tracking performance than the conventional linear interpolation $\textbullet$ To demonstrate its performance the proposed control algorithm is applied to a nonlinear system.

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Control of Discrete Time Nonlinear Systems with Input Delay (입력지연을 갖는 이산 시간 비선형 시스템의 제어)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.6
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    • pp.509-512
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    • 2012
  • This paper presents the state feedback control design for discrete time nonlinear systems where there exists a time delay in input. It is shown that under some boundedness condition, the time delay nonlinear systems can be transformed into the time delay linear systems with time varying parameters. Sufficient conditions for existence of stabilizing state feedback controller are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

A Study on the Deadbeat Response Attribute of Nonlinear Systems (비선형시스템의 데드비트응답 특성 연구)

  • Song, Ja-Youn
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1993-1995
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    • 2001
  • The subject of nonlinear control is an important area of automatic control. The behavior of nonlinear systems is much more complex. If the operating range of a control system is small, and if the involved nonlinearities are smooth, then the control system may be resonably approximated by a set of linear differential equations. This paper presents the deadbeat response attribute of some nonlinear systems, e.g., magnetic levitation, pendulum, van der pol oscillator etc.. The studied results through the computer simulation are shown a promising attribute of deadbeat response that the outputs of the systems are reached relatively fast the steady state.

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AN OPTIMAL CONTROL FOR THE WAVE EQUATION WITH A LOCALIZED NONLINEAR DISSIPATION

  • Kang, Yong-Han
    • East Asian mathematical journal
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    • v.22 no.2
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    • pp.171-188
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    • 2006
  • We consider the problem of an optimal control of the wave equation with a localized nonlinear dissipation. An optimal control is used to bring the state solutions close to a desired profile under a quadratic cost of control. We establish the existence of solutions of the underlying initial boundary value problem and of an optimal control that minimizes the cost functional. We derive an optimality system by formally differentiating the cost functional with respect to the control and evaluating the result at an optimal control.

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Adaptive control to compensate the modeling error of STT missile (STT 미사일의 모델링 오차 보상을 위한 적응 제어)

  • 최진영;좌동경
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1292-1295
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    • 1996
  • This paper proposes an adaptive control technique for the autopilot design of STT missile. Dynamics of the missile is highly nonlinear and the equilibrium point is vulnerable to change due to fast maneuvering. Therefore nonlinear control techniques are desirable for the autopilot design of the missile. The nonlinear controller requires the exact model to obtain satisfactory performance. Generally a look-up table is used for the dynamic coefficients of a missile, so there must be coefficients error during actual flight, and the performance of the nonlinear controller using these data can be degraded. The proposed adaptive control technique compensates the nonlinear controller with modeling error resulting from the error of aerodynamic data and disturbance. To investigate the usefulness, the proposed method is applied to autopilot design of STT missile through simulations.

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A Study on Properties of Torque Control for Wind Turbine (풍력터빈 토크제어의 특성 고찰)

  • Lim, Chae-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.12
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    • pp.1157-1162
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    • 2009
  • The aerodynamic torque and power caused by the interaction between the wind and blade of wind turbine are highly nonlinear. For this reason, the overall dynamic behaviors of wind turbine have nonlinear characteristics. The aerodynamic nonlinearity also affects properties of torque control for wind turbine. In this paper, the nonlinear aerodynamic property according to the wind speed below rated power and its effects on the torque control system are investigated. Nonlinear parameter representing change of aerodynamic torque with respect to rotor speed is obtained by linearization technique. Effects of this aerodynamic nonlinear parameter on the closed-loop torque system with PI controller for an 1.5 MW wind turbine are presented.

Precise Control of Dynamic Friction Using SMC and Nonlinear Observer (SMC와 비선형관측기를 이용한 동적마찰에 대한 정밀추종제어)

  • Han, Seong-Ik
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.692-697
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    • 2001
  • A precise tracking control scheme on the system in presence of nonlinear dynamic friction is proposed. In this control scheme, the standard SMC is combined with the nonlinear observer to estimate the dynamic friction state that is impossible to measure. Then this control scheme has the good tracking performance and the robustness to parameter variation compared with the standard SMC and the PiD based nonlinear observer control system. This fact is proved by the experiment on the ball-screw driven servo system with the dynamic friction model.

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ADAPTIVEK FUZZY CONTROL BASED ON SPEED GRADIENT ALGORITHM

  • Jeoung, Sacheul;Yoo, Byungkook;Ham, Woonchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.178-182
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    • 1995
  • In this paper, the fuzzy approximator and nonlinear inversion control scheme are considered. An adaptive nonlinear control is proposed based on the speed gradient algorithms proposed by Fradkov. This proposed control scheme is that three types of adaptive law is utilized to approximate the unknown function f by fuzzy logic system in designing the nonlinear inversion controller for the nonlinear system. In order to reduce the approximation errors, the differences of nonlinear function and fuzzy approximator, another three types of adaptive law is also introduced and the stability of proposed control scheme are proven with SG algorithm.

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