• Title/Summary/Keyword: PID gain

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A New PID Controller with Lyapunov Stability for Regulation Servo Systems

  • Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.13 no.1
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    • pp.11-18
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    • 2009
  • In this paper, the stability of second order uncertain systems with regulation of PID type controllers is analyzed by using Lyapunov second method for the first time in the time domain. The property of the stability of PID regulation servo systems is revealed in sense of Lyapunov, i.e., bounded stability due to the disturbances and uncertainties. By means of the results of this stability analysis, the maximum norm bound of the error from the output without variation of the uncertainties and disturbances is determined as a function of the gains of the PID control, which make it enable to analyze the effect resulted from the variations of the disturbances and uncertainties using this norm bound for given PID gains. Using the relationship of the error from the output without variation of the uncertainties and disturbances and the PID gain with maximum bounds of the disturbances and uncertainties, the robust gain design rule is suggested so that the error from the output without the variation of the disturbances and uncertainties can be guaranteed by the prescribed specifications as the advantages of this study. The usefulness of the proposed algorithm is verified through an illustrative example.

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Real-time Fuzzy Tuned PID Control Algorithm (실시간 퍼지 동조 PID 제어 알고리즘)

  • Choi Jeong-Nae;Oh Sung-Kwun;Hwang Hyung-Soo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.11a
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    • pp.423-426
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    • 2005
  • In this paper, we proposed a PID tuning algorithm by the fuzzy set theory to improve the performance of the PID controller. The new tuning algorithm for the PID controller has the initial value of parameter Kp, $\tau_{I}$, $\tau_{D}$. by the Ziegler-Nichols formula that uses the ultimate gain and ultimate period from a relay tuning experiment. We will get the error and the error rate of plant output corresponding to the initial value of parameter and fnd the new proportion gain(Kp) and the integral time ($\tau_{I}$) from fuzzy tuner by the error and error rate of plant oueut as a membership function of fuzzy theory. This fuzzy auto tuning algorithm for PID controller considerably reduced the overshoot and rise time as compared to any other PID controller tuning algorithms. And in real parametric uncertainty systems, it constitutes an appreciable improvement of performance. The significant property of this algorithm is shown by simulation

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Real-time Adaptive PID Temperature Control that limits Overshoot (오버슈트를 제한하는 실시간 적응형 PID 온도제어)

  • Jin Moon Nam
    • The Journal of the Convergence on Culture Technology
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    • v.9 no.6
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    • pp.957-966
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    • 2023
  • In this paper, we propose a new real-time adaptive PID temperature control technique. This is a technique that prevents overshoot by introducing a model that represents the control object. To prevent excessive integration that causes overshoot, integral control adjusts the integral gain to track the heat loss of the model in real time. In the conventional PID control, the integration was dependent on proportional control and the gain was fixed to a constant. As a result, applying two gains that mismatch each other could cause excessive overshoot. However, the proposed adaptive control actively eliminates overshoot so that the integral control amount does not always exceed the heat loss. The cause of overshoot in PID control is integration. Basically, proportional control does not cause overshoot. Therefore, according to the proposed technique, adaptive PID control without the need for tuning experiments can be realized.

Application of SIMC Based Quad-rotor Cascade Control by Using 1-axis Attitude Control Test-bench (1축 자세제어실험 장비를 이용한 SIMC 기반 쿼드로터 Cascade 제어기 적용에 관한 연구)

  • Choi, Yun-sung;You, Young-jin;Jeong, Jin-seok;Kang, Beom-soo
    • Journal of Advanced Navigation Technology
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    • v.19 no.6
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    • pp.473-483
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    • 2015
  • This paper reports the single-input-single-output cascade control by using 1-axis attitude control test-bench for quad-rotor UAV. The test-bench was designed as a see-saw shape using 2 motors and propellers, and to enable changing the center of gravity with the center of gyration using ballast. The experiment was carried out by constructing a PID-PID controller having a cascade structure with the test-bench. The SIMC based PID gain tuning process, which makes PID gain tuning easy, was grafted to cascade control. To graft SIMC method, the system parameter estimation result was conducted with second order time delay model by using Matlab-Simulink. Gain tuning was conducted by simulating with estimated system parameter. In this paper, the conventional application of SIMC was conducted and improved application was proposed for improving stability at tuning process.

Design of PID Type Fuzzy Logic Acceleration Controller for Turbojet Engine Using High-gain Observer (고이득 관측기를 이용한 터보제트 엔진의 PID 퍼지 추론 가속도 제어기 설계)

  • Jie, Min-Seok;Kim, Dae-Gi;Hong, Gyo-Young;Ahn, Dong-Man;Hong, Seung-Beom
    • Journal of Advanced Navigation Technology
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    • v.17 no.1
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    • pp.107-114
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    • 2013
  • In this paper, we propose controller to control the acceleration of unmanned aircraft turbojet engine. The high-gain observer to estimate the rotational speed of compressor is used, and the turbojet engine controller applying fuzzy heuristic techniques and PID control algorithm are designed. fuzzy PID controller produces the flow control input to prevent the surge and flame-out phenomena at the acceleration and deceleration of the turbojet engine. The standard acceleration is set and the fuel flow control is defined by the fuzzy heuristic. Computer simulations are performed using MATLAB in order to verify the performance of the proposed controller.

An Automatic tuning of PlD Controls by Refined Ziegler-Nichols Methods (수정된 Ziegler-Nichols 방법에 의한 PID제어의 자동 동조)

  • Koo, J.H.;Yang, W.Y.
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.337-339
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    • 1992
  • This paper deals with the tuning method of PID controls for process controls. It introduces the normalized process gain and the normalized process dead-time for processes based on Ziegler-Nichols tuning methods. In the case of PID auto-tuning, the first, this method applies Ziegler-Nichols tuning method and introduces the set-point weighting for reducing overshoot in the large normalized process gain or small normalized process dead-time, the second, this method is modified and includes the set-point weighting in the small normalized process gain or large normalized process dead-time. In the case of PI auto-tuning, this method is modified for reducing overshoot. This paper obtains empirical data with Ziegler-Nichols methods for refined Ziegler-Nichols tuning methods.

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PID Autotuning Algorithm Based on Saturation Function Feedback

  • Oh, Seung-Rohk
    • Journal of IKEEE
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    • v.2 no.2 s.3
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    • pp.263-269
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    • 1998
  • We use the slope bounded saturation nonlinear feedback element instead of relay to find ultimate gain and period of linear plant. Saturation nonlinear element reduces the high harmonics of plant output. The reduction of high harmonics improve the accuracy of describing function method used to find ultimate gain and period. We give a simple procedure to find ultimate gain and period with saturation nonlinear element. A PID controller design method with known time delay element is also given, which is very useful when oscillation is not occurred with nonlinear element.

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Investigation of PID Fuzzy Controller for Output Voltage Regulation of Current-Doubler-Rectified Asymmetric Half-Bridge DC/DC Converter

  • Chung, Gyo-Bum
    • Journal of Power Electronics
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    • v.7 no.1
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    • pp.21-27
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    • 2007
  • This paper investigates a PID fuzzy controller for output voltage regulation of a current-doubler-rectified asymmetric half-bridge (CDRAHB) DC/DC converter. The controller is a PD-type fuzzy controller in parallel with a linear integral controller. The PD type fuzzy controller is for providing the varying gain at the different operating conditions to regulate the output voltage. The linear integral controller is for removing the steady-state error of the output voltage. In order to show the outstanding dynamic characteristics of the proposed controller, PSIM simulation studies are carried out and compared to the results for which the conventional loop gain design method is used.

Implementation of Optimal Temperature Controller for Thermoelectric Device-based Heating System Using Genetic Algorithm (유전알고리즘을 이용한 열전소지 기반 히팅 시스템의 최적 온도 제어기 구현)

  • Jung-Shik Kong
    • Design & Manufacturing
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    • v.17 no.3
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    • pp.41-47
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    • 2023
  • This paper presents the development of a controller that can control the temperature of an heating system based on a thermoelectric module. Temperature controller using Peltier has various external factors such as external temperature, characteristics of an aluminum plate, installation location of temperature sensors, and combination method between the aluminum plate and heating element. Therefore, it is difficult to apply the simulation and simulation results of heating system using Peltier at control algorithm. In general, almost temperature controller is using PID algorithm that finds control gain value heuristically. In this paper, it is proposed mathematical model that explain correlate between the temperature of the heating system and input voltage. And then, optimal parameter of estimated thermal model of the aluminum plate are searched by using genetic algorithm. In addition, based on this estimated model, the optimal PID control gain are inferred using a genetic algorithm. All of the sequence are simulated and verified with proposed real system.

An Optimum Tuning for IMC-PID Controller (IMC-PID 제어기의 최적 동조)

  • Park, Jong-Su;Lim, Dong-Kyun;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.167-169
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    • 2005
  • This paper proposes an optimum tuning which improves the tuning effect of IMC-PID and guarantees the performance and robustness of controller system by considering gain margin, phase margin, sensitivity functions and integral square error(ISE) for IMC-PID controller.

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