• Title/Summary/Keyword: Nonlinear PID Controller

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Stabilizing Inverted Pendulum System Using Fuzzy Controller Based on State Variables Combination (상태변수 조합 퍼지 제어기를 이용한 도립진자 시스템의 안정화)

  • Lee, Yun-Hyung;Kim, Jong-Phil;Jin, Gang-Gyoo;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
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    • v.36 no.8
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    • pp.1104-1110
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    • 2012
  • The inverted pendulum system is a common, interesting control problem that involves many basic elements of control theory. In the early, controls of stabilization for the inverted pendulum system were used classical methods like PD, PID controller. In recently, however, control methods based on modern and intelligent control theory are widely applied. The fuzzy logic controller which is often used in nonlinear control is a little too hard to design due to increasing fuzzy rules rapidly if the given system like inverted pendulum has many state variables. Also, in case the state variables are divided into two parts, two fuzzy controllers are needed in the control system. In this paper, the authors propose FCSC(Fuzzy Controller based on State variables Combination) that reorganized into two new signals depending on the physical meaning of the four state variables of the inverted pendulum system. The proposed method is applied to the inverted pendulum system and simulations are accomplished to illustrate the control performance.

Dynamic Response and Control of Airship with Gust (외란이 작용하는 비행선의 동적 반응 및 제어)

  • Woo, G.A.;Park, I.H.;Oh, S.J.;Cho, K.R.
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.6
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    • pp.69-77
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    • 2002
  • To acquire the dynamic response and design the controller of the airship, the longitudinal motion of the airship with respect to the vertical gust, which is the nonlinear system, was studied. The effects of the apparent mass and moment of the airship delay the dynamic response and the settling time, which are slower than those of conventional airplanes. The current object of the airship is designed to cruise at 500~1000m altitude. At that height, the atmospheric conditions are generally unstable by wind gust. In this paper, it has been studied for the case of vertical gust, since the apparent mass effects are dominant in has been studied for the case of vertical gust, since the apparent mass effects are dominant in that plane. In addition to the study of the dynamic responses of the airship, the controller was designed using the PID-controller. When the gust was applied, airship responses were recovered of equilibrium states. However, it takes too ling time for recovery and the speed of airship is reduced. So, the aim in this paper was to fasten the recovery speed and to get back the cruising velocity. The control parameters were determined from the stability mode analysis, and the control inputs were the thrust and the elevator deflection angle.

The Response Improvement of PD Type FLC System by Self Tuning (자기동조에 의한 PD 형 퍼지제어시스템의 응답 개선)

  • Choi, Hansoo;Lee, Kyoung-Woong
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.12
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    • pp.1101-1105
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    • 2012
  • This study proposes a method for improvement of PD type fuzzy controller. The method includes self tuner using gradient algorithm that is one of the optimization algorithms. The proposed controller improves simple Takagi-Sugeno type FLC (Fuzzy Logic Control) system. The simple Takagi-Sugeno type FLC system changes nonlinear characteristic to linear parameters of consequent membership function. The simple FLC system could control the system by calibrating parameter of consequent membership function that changes the system response. While the determination on parameter of the simple FLC system works well only partially, the proposed method is needed to determine parameters that work for overall response. The simple FLC system doesn't predict the response characteristics. While the simple FLC system works just like proportional part of PID, our system includes derivative part to predict the next response. The proposed controller is constructed with P part and D part FLC system that characteristic parameter on system response is changed by self tuner for effective response. Since the proposed controller doesn't include integral part, it can't eliminate steady state error. So we include a gain to eliminate the steady state error.

Design of Temperature based Gain Scheduled Controller for Wide Temperature Variation (게인 스케줄링을 이용한 광대역 온도제어기의 설계)

  • Jeong, Jae Hyeon;Kim, Jung Han
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.8
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    • pp.831-838
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    • 2013
  • This paper focused on the design of an efficient temperature controller for a plant with a wide range of operating temperatures. The greater the temperature difference a plant has, the larger the nonlinearity it is exposed to in terms of heat transfer. For this reason, we divided the temperature range into five sections, and each was modeled using ARMAX(auto regressive moving average exogenous). The movement of the dominant poles of the sliced system was analyzed and, based on the variation in the system parameters with temperature, optimal control parameters were obtained through simulation and experiments. From the configurations for each section of the temperature range, a temperature-based gain-scheduled controller (TBGSC) was designed for parameter variation of the plant. Experiments showed that the TBGSC resulted in improved performance compared with an existing proportional integral derivative (PID) controller.

Design of a Hybrid Fuzzy Controller for Speed Control of a Hydraulic Elevator Controlled by Inverters (유압식 인버터 엘리베이터의 속도제어를 위한 하이브리드 퍼지제어기의 설계)

  • Han, Gueon-Sang;Kim, Byoung-Hwa;Ahn, Hyun-Sik;Kim, Do-Hyun
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.38 no.1
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    • pp.1-13
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    • 2001
  • Due to the friction characteristics of cylinders and the rail of a passenger car, in the elevator actuated with hydraulic systems, there exist dead zones, which can not be controlled by a PID controller. To overcome the drawbacks, in this paper, we first try a hybrid controller which switches between a fuzzy logic controller and a PID controller. However, because the hybrid control scheme uses only a single type controller, except the switched layer, the high control performance can not be achieved. To solve this problem, we propose a new type fuzzy hybrid control scheme, which outputs of the output mixer arc controlled by a fuzzy logic. The hydraulic elevator system controlled by inverters has more then one switched layers due to the highly nonlinear characteristics. The proposed fuzzy hybrid control scheme achieves improved control performances by using both controllers with weighted outputs depend on the system status, to achieve improved control performances. The effectiveness of the proposed control scheme arc shown by simulation results, which the proposed fuzzy hybrid control method yields good control performance not only in the zero crossing speed region but also in the overall control region including steady-state region.

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Position Tracking Control on the XY Ball-screw Drive System with the Nonlinear Dynamic Friction (비선형 동적마찰을 갖는 XY볼-스크류 구동계에 대한 위치 추종제어)

  • Han, Seong-Ik
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.6
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    • pp.51-61
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    • 2002
  • A tracking control scheme on the XY ball-screw drive system in the presence of nonlinear dynamic friction is proposed. A nonlinear dynamic friction is regarded as the Lund-Grenoble friction model to compensate effects of friction. The conventional VSC method that often has been used as a non-model-based friction controller has poor tracking performance in high-precision position tracking application since it cannot compensate the friction effect below a certain precision level completely. Thus to improve the precise position tracking performance, we propose the integral type VSC method combined with the friction-model-based observer. Then this control scheme has the high precise tracking performance compared with the non-model-baked VSC method and the PID control method with a similar observer. This fact is shown through the experiment on the XY ball-screw drive system with the nonlinear dynamic friction.

Design of a Robust Controller to Enhance Lateral Stability of a Four Wheel Steer Vehicle with a Nonlinear Observer (비선형 관측기를 이용한 사륜조향 차량의 횡방향 안정성 강화를 위한 강인 제어기 설계)

  • Song, Jeong-Hoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.6
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    • pp.120-127
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    • 2007
  • This paper describes the development of a nonlinear observer for four wheel steer (4WS) vehicle. An observer is designed to estimate the vehicle variables difficult to measure directly. A brake yaw motion controller (BYMC), which uses a PID control method, is also proposed for controlling the brake pressure of the rear and inner wheels to enhance lateral stability. It induces the yaw rate to track the reference yaw rate, and it reduces a slip angle on a slippery road. The braking and steering performances of the anti-lock brake system (ABS) and BYMC are evaluated for various driving conditions, including straight, J-turn, and sinusoidal maneuvers. The simulation results show that developed ABS reduces the stopping distance and increases the longitudinal stability. The observer estimates velocity, slip angle, and yaw rate of 4WS vehicle very well. The results also reveal that the BYMC improves vehicle lateral stability and controllability when various steering inputs are applied.

Application of adaptive controller using receding-horizon predictive control strategy to the electric furnace (이동구간 예측제어 기법을 이용한 적응 제어기의 전기로 적용)

  • Kim, Jin-Hwan;Huh, Uk-Yeol
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.1
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    • pp.60-66
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    • 1996
  • Model Based Predictive Control(MBPC) has been widely used in predictive control since 80's. GPC[1] which is the superset of many MBPC strategies a popular method, but GPC has some weakness, such as insufficient stability analysis, non-applicability to internally unstable systems. However, CRHPC[2] proposed in 1991 overcomes the above limitations. So we chose RHPC based on CRHPC for electric furnace control. An electric furnace which has nonlinear properties and large time delay is difficult to control by linear controller because it needs nearly perfect modelling and optimal gain in case of PID. As a result, those controls are very time-consuming. In this paper, we applied RHPC with equality constraint to electric furnace. The reults of experiments also include the case of RHPC with monotonic weighting improving the transient response and including unmodelled dynamics. So, This paper proved the practical aspect of RHPC for real processes.

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A Feedback Control of Pump-Controlled Electro-Hydrostatic Actuation System (펌프 가변제어기반 유압시스템의 피드백 제어)

  • Ryu, Jae-Kwan;Seo, Hyung-Tae
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.10
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    • pp.837-843
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    • 2016
  • This paper presents a position control strategy for a pump-controlled electro-hydrostatic actuator (EHA) using feedforward control with disturbance compensation. As the disturbance observer is used to estimate nonlinear dynamics of EHA, which has valve-opening conditionals, as well as external disturbances, an additional feedforward control is adopted to achieve rapid response. The effectiveness of the proposed control strategy is verified through experiment using an EHA test bench. The proposed controller shows better tracking performance compared with a conventional PID controller.

Lateral vibration control of a low-speed maglev vehicle in cross winds

  • Yau, J.D.
    • Wind and Structures
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    • v.15 no.3
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    • pp.263-283
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    • 2012
  • This paper presents a framework of nonlinear dynamic analysis of a low-speed moving maglev (magnetically levitated) vehicle subjected to cross winds and controlled using a clipped-LQR actuator with time delay compensation. A four degrees-of-freedom (4-DOFs) maglev-vehicle equipped with an onboard PID (Proportional-Integral-Derivative) controller traveling over guideway girders was developed to regulate the electric current and control voltage. With this maglev-vehicle/guideway model, dynamic interaction analysis of a low-speed maglev vehicle with guideway girders was conducted using an iterative approach. Considering the time-delay issue of unsynchronized tuning forces in control process, a clipped-LQR actuator with time-delay compensation is developed to improve control effectiveness of lateral vibration of the running maglev vehicle in cross winds. Numerical simulations demonstrate that although the lateral response of the maglev vehicle moving in cross winds would be amplified significantly, the present clipped-LQR controller exhibits its control performance in suppressing the lateral vibration of the vehicle.