• Title/Summary/Keyword: PID closed loop system

Search Result 76, Processing Time 0.027 seconds

Kinematics and Robust PID Trajectory Tracking Control of Parallel Motion Simulator (병렬형 모션 시뮬레이터의 기구학적 해석과 강인 궤적추종 PID 제어기의 설계)

  • Hong, Seong-Il
    • Journal of the Korea Institute of Military Science and Technology
    • /
    • v.10 no.3
    • /
    • pp.161-172
    • /
    • 2007
  • This article suggests an inverse kinematics analysis of a two degree of freedom spatial parallel motion simulator and design methodology of the robust PID controller. The parallel motion simulator consists of a fixed base and a moving frame connected by two serial chains, with each serial chain containing one revolute joint and two passive spherical joint. First, an inverse kinematics problems are solved in order to find the joint variable necessary to bring the end effector to track the desired trajectory. Second, an inverse optimal PID controller is proposed to track trajectories in the face of uncertainty. And the $H_{\infty}$ optimality and robust stability of the closed-loop system is acquired through the PID controller. Finally numerical results show the effectiveness of the PID controller that is designed by square/linear tuning laws.

Fuzzy Expert PID Control of Magnetic Bearing System (자기베어링 시스템의 퍼지 전문가 PID 제어)

  • Gyeong, Jin-Ho;Kim, Yu-Il;Kim, Jong-Seon;Lee, Hae
    • 연구논문집
    • /
    • s.23
    • /
    • pp.73-80
    • /
    • 1993
  • This study presents an intelligent PID control method based on the fuzzy logic and this method is applied to the active magnetic bearing system. By using an appropriate fuzzy matrix, some changes of values of the three coefficients of the controller are determined during system operation and these lead to the improvement of the transient and steady state behavior of the closed loop system. The presented method is actually a combination of the principles of PID control and fuzzy logic. Since the fuzzy logic using linguistic variables in place of numeric variables has many points of likeness to the human logic, the improvement in performance is notable especially in case of large nonlinearity and uncertainty such as the controller start and the excessive mass unbalance. A set of simulation and experimental results illustrate and considerable improvement in the control performance including small overshoot and small transient currents in magnet coils, while maintaining the overal static and dynamic characteristics near the equilibrium position.

  • PDF

Optimum Tuning of Modified PID Controller using Properties of the Affine Set (아핀 집합의 특성을 이용한 변형된 PID 제어기의 최적 동조)

  • Kim Chang-Hyun;Lim Dong-Kyun;Suh Byung-Sulh
    • Journal of the Institute of Electronics Engineers of Korea SC
    • /
    • v.42 no.6
    • /
    • pp.15-22
    • /
    • 2005
  • In this paper, we propose a PID-PD controller and its tuning method to be modified form of PID controller that consist of the affine set of PID and PI-PD controller by analyzing relation between these controllers. The proposed tuning method controls the closed-loop system to locate between the step responses of system controlled by PID and PI-PD controller. The controller is designed by the optimum tuning method to minimize the proposed specific cost functions. Its effectiveness is examined by the case studies and their analysis.

System Modeling and Robust Control of an AMB Spindle : Part II A Robust Controller Design and its Implementation

  • Ahn, Hyeong-Joon;Han, Dong-Chul
    • Journal of Mechanical Science and Technology
    • /
    • v.17 no.12
    • /
    • pp.1855-1866
    • /
    • 2003
  • This paper discusses an entire procedure for a robust controller design and its implementation of an AMB (active magnetic bearing) spindle, which is part II of the papers presenting details of system modeling and robust control of an AMB spindle. Since there are various uncertainties in an AMB system and reliability is the most important factor for applications, robust control naturally gains attentions in this field. However, tight evaluations of various uncertainties based on experimental data and appropriate performance weightings for an AMB spindle are still ongoing research topics. In addition, there are few publications on experimental justification of a designed robust controller. In this paper, uncertainties for the AMB spindle are classified and described based on the measurement and identification results of part I, and an appropriate performance weighting scheme for the AMB spindle is developed. Then, a robust control is designed through the mixed ${\mu}$ synthesis based on the validated accurate nominal model of part I, and the robust controller is reduced considering its closed loop performance. The reduced robust controller is implemented and confirmed with measurements of closed-loop responses. The AMB spindle is operated up to 57,600 rpm and performance of the designed controller is compared with a benchmark PID controller through experiments. Experiments show that the robust controller offers higher stiffness and more efficient control of rigid modes than the benchmark PID controller.

Design of RCGA-based PID controller for two-input two-output system

  • Lee, Yun-Hyung;Kwon, Seok-Kyung;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.39 no.10
    • /
    • pp.1031-1036
    • /
    • 2015
  • Proportional-integral-derivative (PID) controllers are widely used in industrial sites. Most tuning methods for PID controllers use an empirical and experimental approach; thus, the experience and intuition of a designer greatly affect the tuning of the controller. The representative methods include the closed-loop tuning method of Ziegler-Nichols (Z-N), the C-C tuning method, and the Internal Model Control tuning method. There has been considerable research on the tuning of PID controllers for single-input single-output systems but very little for multi-input multi-output systems. It is more difficult to design PID controllers for multi-input multi-output systems than for single-input single-output systems because there are interactive control loops that affect each other. This paper presents a tuning method for the PID controller for a two-input two-output system. The proposed method uses a real-coded genetic algorithm (RCGA) as an optimization tool, which optimizes the PID controller parameters for minimizing the given objective function. Three types of objective functions are selected for the RCGA, and each PID controller parameter is determined accordingly. The performance of the proposed method is compared with that of the Z-N method, and the validity of the proposed method is examined.

Design of Low Order Cascade Controller to Reduce the Effects of Its Zeros (제어기 영점의 영향을 감소시키는 종속형 저차 제어기의 설계)

  • Kim, Young-Chol;Kim, Jae-Jin
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.57 no.6
    • /
    • pp.1048-1057
    • /
    • 2008
  • This paper represents a design method for PID or low-order controllers cascaded with a linear plant in the unit feedback system where it is required to meet the given time response specifications such as overshoot and settling time. This problem is difficult to solve because the zeros of the controller appear in the numerator of the overall system and thus those zeros may make the time response design difficult. In this paper, we propose a new approach based on the partial model matching and the so called K-polynomial. The partial matching problem is formulated to an optimization problem in which a quadratic function of coefficient errors between a target model and the resulting closed loop system is minimized. For the sake of satisfying the closed loop stability, a set of quadratic constraints associated with the cost function is introduced. As a result, the controller designed meets both time response requirements and the closed loop stability, if any. It is shown through several examples that the present method can be easily applied to these problems.

Design of PI, PD and PID Controllers with Time Response Specifications (시간응답 설계규격을 만족하는 PI, PD, PID제어기 설계)

  • 김근식;조태신;김영철
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.9 no.4
    • /
    • pp.259-269
    • /
    • 2003
  • This paper considers the problem of determining a set of PI, PD and PID controller gains, for a given linear time invariant plant, that meets or exceeds the closed loop step response specifications. The proposed method utilizes two recent results: for a given system, (1) finding a set of stabilizing PI, PD and PID gains and (2) the relationship between time response (overshoot and speed) and the coefficients of the characteristic polynomial. The method allows us to extract a subset of PI, PD and PID gains that meets stability as well as time domain performance requirements. The intersections of two dimensional sets described by linear and quadratic inequalities in the controller design space are need to be Identified through numerical computation. The procedure is illustrated by examples.

Fuzzy PID Controller for Accurate Power Sharing in DC Microgrid

  • Nguyen, Duy-Long;Lee, Hong-Hee
    • Proceedings of the KIPE Conference
    • /
    • 2019.07a
    • /
    • pp.115-117
    • /
    • 2019
  • In this paper, an intelligent control scheme based on Fuzzy PID controller is proposed for accurate power sharing in DC Microgrid. The proposed Fuzzy PID controller is designed with the aid of a closed loop control based on per unit power of each distributed generator (DG), and accurate power sharing is successfully realized in proportional to each DG's power rating regardless of the line resistance difference or the load change. Thanks to Fuzzy PID controller, the dynamic response becomes faster and the stability of the microgrid system are improved in comparison to conventional PID controller. The superiority of the proposed method is analyzed and verified by simulation in Matlab and Simulink.

  • PDF

A Study on the Properties of Loop System Configured by Coupling 2 PI Controllers for Fault Diagnosis (고장진단을 위한 PI제어기간 직결합 루프시스템의 응답특성에 대한 연구)

  • Choi, Soon-Man;Doo, Hyun-Wook
    • Journal of Advanced Marine Engineering and Technology
    • /
    • v.31 no.6
    • /
    • pp.791-796
    • /
    • 2007
  • When 2 sets of PID controllers are coupled directly each other to configure a closed control loop on behalf of coupling a controller and a plant. the behaviors or this exclusive loop system are expected to be unique in inherent system responses. If its properties be disclosed and generalized well in advance, it is possible for us to use the results for the purpose of fault detection and performance monitoring between control stations from the stage of system design. particularly in such cases as cascade control systems. In this paper. general properties of the proposed system are analyzed firstly to check whether it is controllable and how its steady responses would be. To simplify calculation, the analysis has been performed based on the transfer equation derived from a modelled case which consists of 2 PI controllers and signal converters between them. including time delay element and first-lag element to consider the situation of signal transmission. The results acquired from simulation are suggested to show how it works actually.

Wind Turbine Performance for Eigen Value Change of Closed-Loop System for PI-Controller (피치제어기 폐루프 시스템의 고유치 변화에 따른 풍력발전기의 성능)

  • Kim, Jong-Hwa;Moon, Seok-Jun;Shin, Yun-Ho;Won, Moon-Cheol
    • Journal of Wind Energy
    • /
    • v.4 no.2
    • /
    • pp.17-24
    • /
    • 2013
  • Idealized PID-controlled rotor-speed error for blade pitch control of wind turbines responds as a second-order system with natural frequency and damping ratio for closed-loop system. RISO National Laboratory has recommended specific natural frequency(=0.6 rad/s) and damping ratio(=0.7) for 2 MW wind turbine. The baseline controller for 5 MW wind turbine of NREL(National Renewable Energy Laboratory) is designed based on the same values of RISO recommendation. This study investigates the effect of the natural frequency and damping ratio of the controller for NREL 5 MW wind turbine. It is confirmed that RISO recommendation shall be tuned for each wind turbine.