• Title/Summary/Keyword: Parameter varying controller

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Temperature Control of a CSTR using a Nonlinear PID Controller (비선형 PID 제어기를 사용한 CSTR의 온도 제어)

  • Lee, Joo-Yeon;So, Gun-Baek;Lee, Yun-Hyung;So, Myung-Ok;Jin, Gang-Gyoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.5
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    • pp.482-489
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    • 2015
  • CSTR (Continuous Stirred Tank Reactor) which plays a key role in the chemical plants exhibits highly nonlinear behavior as well as time-varying behavior during operation. The control of CSTRs in the whole operating range has been a challenging problem to control engineers. So, a variety of feedback control forms and their tuning methods have been implemented to guarantee the satisfactory performance. This paper presents a scheme of designing a nonlinear PID controller incorporating with a GA (Genetic Algorithm) for the temperature control of a CSTR. The gains of the NPID controller are composed of easily implementable nonlinear functions based on the error and/or the error rate and its parameters are tuned using a GA by minimizing the ITAE (Integral of Absolute Error). Simulation works for reference tracking and disturbance rejecting performances and robustness to parameter changes show the feasibility of the proposed method.

Fuzzy PD plus I Controller of a CSTR for Temperature Control

  • Lee, Joo-Yeon;So, Hye-Rim;Lee, Yun-Hyung;Oh, Sea-June;Jin, Gang-Gyoo;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.5
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    • pp.563-569
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    • 2015
  • A chemical reaction occurring in CSTR (Continuous Stirred Tank Reactor) is significantly affected by the concentration, temperature, pressure, and reacting time of materials, and thus it has strong nonlinear and time-varying characteristics. Also, when an existing linear PID controller with fixed gain is used, the performance could deteriorate or could be unstable if the system parameters change due to the change in the operating point of CSTR. In this study, a technique for the design of a fuzzy PD plus I controller was proposed for the temperature control of a CSTR process. In the fuzzy PD plus I controller, a linear integral controller was added to a fuzzy PD controller in parallel, and the steady-state performance could be improved based on this. For the fuzzy membership function, a Gaussian type was used; for the fuzzy inference, the Max-Min method of Mamdani was used; and for the defuzzification, the center of gravity method was used. In addition, the saturation state of the actuator was also considered during controller design. The validity of the proposed method was examined by comparing the set-point tracking performance and the robustness to the parameter change with those of an adaptive controller and a nonlinear proportional-integral-differential controller.

Robust and Reliable H$\infty$ State-Feedback Control : A Linear Matrix Inequality Approach

  • Kim, Seong-Woo;Kim, Byung-Kook;Seo, Chang-Jun
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.1
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    • pp.31-39
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    • 2000
  • We present a robust and reliable H$\infty$ state-feedback controller design for linear uncertain systems, which have norm-bounded time-varying uncertainty in the state matrix, and their prespecified sets of actuators are susceptible to failure. These controllers should guarantee robust stability of the systems and H$\infty$ norm bound against parameter uncertainty and/or actuator failures. Based on the linear matrix inequality (LMI) approach, two state-feedback controller design methods are constructed by formulating to a set of LMIs corresponding to all failure cases or a single LMI that covers all failure cases, with an additional costraint. Effectiveness and geometrical property of these controllers are validated via several numerical examples. Furthermore, the proposed LMI frameworks can be applied to multiobjective problems with additional constraints.

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Self-Tuning Adaptive Control Using State Observer (상태 관측기를 이용한 자기-동조 적응 제어)

  • Kim, Yoon-Ho;Yoon, Byung-Do;Oh, Gi-Hong
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.223-226
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    • 1991
  • In this paper, the problem of designing on adaptive controller for dc drives using state observers, which is operated under varying load conditions, is addressed. A robust self-tuning controller that can track a constant reference and reject constant load disturbances is also studied. This scheme is very attractive since the estimates of system parameters are available in real time. Parameter estimation is based on the recursive least squares method and the control algorithm of the pole placement technique. Also, state observer systems are applied. State observer systems are required to estimate the states quickly and exactly without being affected by the disturbances.

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Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input (제어입력 크기제한을 갖는 시스템에서 이득 스케쥴 상태되먹임-외란앞먹임 제어)

  • Kang, Min-Sig
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.915-920
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    • 2007
  • A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_{2}-gain$ from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

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Gain Scheduled State Feedback and Disturbance Feedforward Control for Systems with Bounded Control Input - Theory (제어입력 크기제한을 갖는 시스템에서 이득 스케줄 상태되먹임-외란앞먹임 제어 - 이론)

  • Kang, Min-Sig
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.11
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    • pp.59-65
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    • 2007
  • A new optimal state feedback and disturbance feedforward control design in the sense of minimizing $L_2$-gain from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

A Study on the Control of Brushless DC Motor for Total Artificial Heart (인공심장용 브러시리스 직류전동기 제어에 관한 연구)

  • Kwon, S.I.;Lee, S.H.;Kim, J.T.;Kim, H.C.;Min, B.G.
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.1317-1321
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    • 1987
  • A new type of motor-driven Total Artificial Heart(TAH) system with rolling cylinder mechanism has been developed. Brushless DC motor was chosen as energy converter and controlled by PI controller according to the given velocity profile under the highly time-varying load. Computer simulation was also performed to calculate the optimal gains of PI controller which minimize the input power, one of the most important parameter in artificial heart system.

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An Adaptive Flight Control Law Design for the ALFLEX Flight Control System

  • Imai, Kanta;Shimada, Yuzo;Uchiyama, Kenji
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.148.5-148
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    • 2001
  • In this report, an adaptive flight control law based on a linear-parameter-varying (LPV) model is presented for a flight control system. The control system is designed to track an output of a vehicle to a reference signal from the guidance system, which generates a reference flight path. The proposed adaptive control law adjusts the controller gains continuously on line as flight conditions change. The obtained adaptive controller guarantees global stability over a wide flight envelope. Computer simulation involving six-degree-of-freedom nonlinear flight dynamics is applied to Japan´s automatic landing flight experimental vehicle (ALFLEX) to examine the effectiveness of the proposed adaptive flight control law.

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A CONTROLLER DESIGN GUARARNTEEING PRECISE TRAJAECTORY FOLLOWING FOR A ROBOTIC MANIPULATOR

  • Kee, Chang-Doo;Hwang, Won-Gul
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.981-986
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    • 1988
  • A controller synthesis procedure for precise tracking of reference inputs in the sense of spheres is applied to a 3 d.o.f. robotic manipulator. This methodology applies to a class of nonlinear systems with input uncertainty and parameter uncertainty. The 3 d.o.f. manipulator to be controlled is subjected to varying payloads and is required to follow specified joint trajectories to within prespecified tolerances. The design procedure above lends itself naturally to this type of control problem. The appeal of such a design procedure lies on a special decomposition which exploits linear control theory on the one hand and facilitates a separate treatment of the effects of nonlinearities and the uncertainties on the other.

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Robust Backstepping Control for Nonvanishing Parametrization$^1$

  • Shim, Hyung-Bo;Son, Young-Ik;Lee, Sang-Hyuk;Seo, Jin-Heon
    • Journal of KIEE
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    • v.10 no.1
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    • pp.29-34
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    • 2000
  • In this paper, a design method of a controller is presented for a class of nonlinear systems which have time-varying parametric uncertainly. Some features of this controller are that it can tackle 1) nonlinear parametrization(i.e. uncertain parameters enter the system in the nonlinear form) and 2) nonvanishing peturbation (i.e. uncertainty need not vanish at the origin). The class of systems considered in this paper has the triangular structure for which the well-known backstepping design can be applied. The uncertain parameter is assumed to be contained in the bounded set whose size can be arbitrarily large. Also, the uncertain system are globally uniformly bounded and converge to a compact set whose size is designable. In particular, the first state of the system can be made arbitrarily small, which can be seen by the presented simulation result.

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