• Title/Summary/Keyword: Input/output Control

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Reduction of Fuzzy Rules and Membership Functions and Its Application to Fuzzy PI and PD Type Controllers

  • Chopra Seema;Mitra Ranajit;Kumar Vijay
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.438-447
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    • 2006
  • Fuzzy controller's design depends mainly on the rule base and membership functions over the controller's input and output ranges. This paper presents two different approaches to deal with these design issues. A simple and efficient approach; namely, Fuzzy Subtractive Clustering is used to identify the rule base needed to realize Fuzzy PI and PD type controllers. This technique provides a mechanism to obtain the reduced rule set covering the whole input/output space as well as membership functions for each input variable. But it is found that some membership functions projected from different clusters have high degree of similarity. The number of membership functions of each input variable is then reduced using a similarity measure. In this paper, the fuzzy subtractive clustering approach is shown to reduce 49 rules to 8 rules and number of membership functions to 4 and 6 for input variables (error and change in error) maintaining almost the same level of performance. Simulation on a wide range of linear and nonlinear processes is carried out and results are compared with fuzzy PI and PD type controllers without clustering in terms of several performance measures such as peak overshoot, settling time, rise time, integral absolute error (IAE) and integral-of-time multiplied absolute error (ITAE) and in each case the proposed schemes shows an identical performance.

Design of Sliding Hyperplanes in Nonlinear Variable Structure Systems with Uncertainties (불확실성을 갖는 비선형 가변구조시스템의 슬라이딩 초평면 설계)

  • 박동원;최승복;김재문
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.1985-1996
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    • 1994
  • A new design method of sliding hyperplanes is proposed in the synthesis of a variable structure controller for robust tracking of general nonlinear multi-input-output(MIMO) uncertain systems of relative degree higher than two. Input/ output(I/O) linearzation is firstly undertaken by employing the concept of relative degree and minimum phase followed by the construction of sliding mode controllers. Sliding hyperplanes are then derived from the inherent properties of companion matrix and ideal sliding mode characterized in I/O linearized system. Subsequently, the gradient magnitudes of the sling hyperplanes are determined in an optimal manner by considering a quadratic performance index to be evaluated at two phases; a reaching phase and a sliding phase. The proposed design methodology is relatively straightforward and systematic compared with conventional strategies such as geometric approach or pole assignment technique. A nonlinear governor and exciter control problem for a power system is adopted herein in order to demonstrate the design efficiency and also favorable and robust control performances.

The Stability Conditions, Performance and Design Methodology for the Positive Position Feedback Controller (양변위 되먹임 제어기의 안정성, 제어 성능 및 설계 방법)

  • Kwak, Moon-Kyu;Han, Sang-Bo;Heo, Seok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.3
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    • pp.208-213
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    • 2004
  • This paper is concerned with the theoretical estimation of the single-input single-output(SISO) positive position feedback(PPF) controller and the derivation of the stability conditions for the multi-input multi-output (MIMO) PPF controller. Although the stability condition for the SISO PPF controller was derived in the earlier works, the question regarding the performance estimation of the SISO PPF controller has never been studied theoretically. Hence, the SISO PPF controller for the single degree-of-freedom system was first investigated and then control parameters including gain, the filter frequency, and the damping factor of the PPF controller were analyzed in detail thus providing the design methodology for the SISO PPF controller. In the case of real structure. there are infinite number of natural modes so that some modes are to be controlled by a limited number of actuator and sensor. Based on the theoretical results on the SISO PPF controller, the stability condition for the multi-input multi-output PPF controller was derived when only the few number of modes are to be controlled. The control spillover problem is also discussed in detail.

Parameter Estimation of Single and Decentralized Control Systems Using Pulse Response Data

  • Cheres, Eduard;Podshivalov, Lev
    • Bulletin of the Korean Chemical Society
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    • v.24 no.3
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    • pp.279-284
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    • 2003
  • The One Pass Method (OPM) previously presented for the identification of single input single output systems is used to estimate the parameters of a Decentralized Control System (DCS). The OPM is a linear and therefore a simple estimation method. All of the calculations are performed in one pass, and no initial parameter guess, iteration, or powerful search methods are required. These features are of interest especially when the parameters of multi input-output model are estimated. The benefits of the OPM are revealed by comparing its results against those of two recently published methods based on pulse testing. The comparison is performed using two databases from the literature. These databases include single and multi input-output process transfer functions and relevant disturbances. The closed loop responses of these processes are roughly captured by the previous methods, whereas the OPM gives much more accurate results. If the parameters of a DCS are estimated, the OPM yields the same results in multi or single structure implementation. This is a novel feature, which indicates that the OPM is a convenient and practice method for the parameter estimation of multivariable DCSs.

Input-Output Decoupling Control of Multivariable System with Robustness against Feedback Loop Failure (궤환회로 고장에 대해 강인성을 갖는 다변수 시스템의 비간섭 제어)

  • 김동화
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.8
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    • pp.805-815
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    • 1992
  • In this paper, robust decoupling control scheme of miftivarlable systems Is studied. Design methods for Input-Output decoupling systems with robustness against signal failure In arbitrary feedback loop or actuator loop Is suggested based on the Riccati type matrix equation and state feedback, and is simulated In Turbo-Generator systems with B-Input, 2 output. The results of simulation represents the decoupled and stable response against the failure of signal In sensor or actuator loop. However, the system designed by conventional ,it ate feedback shows the unstable response. This method Is applied for robust decoupling control of the complicated multivariable systems.

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Transient State Improvement of Three-Phase ZSI with the Input Feedforward and Fuzzy PI Controller (입력 피드포워드와 퍼지 PI제어기를 갖는 3상 ZSI의 과도상태 개선)

  • WU, Yan-Jun;Jung, Young-Gook;Lim, Young-Cheol
    • Proceedings of the KIPE Conference
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    • 2012.07a
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    • pp.359-360
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    • 2012
  • This paper proposes a scheme of auto-tuning fuzzy PI controller and input voltage feed forward to control the output voltage of a three-phase Z-source inverter (ZSI). The proposed scheme adjusts the ts (Kp and Ki) in real time in order to find the most suitable Kp and Ki for PI controller and to simplify the controller design. The proposed scheme is verified the validity by experiment and co-simulation in PSIM and MATLAB/SIMULINK both load step change and input DC voltage variation in Z-source inverter, and has compared with the conventional PID control scheme. The experiment results involve of three-phase output voltage, Z-network capacitor voltage and dc-link peak voltage value. By those analysis and comparison, the availability of the proposed method in output voltage transient response quality improving has been verified. Compared with conventional PID method, the proposed method showed a more effective and robust control performance for coping with the severe disturbance conditions.

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Data-based Control for Linear Time-invariant Discrete-time Systems

  • Park, U. S.;Ikeda, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1993-1998
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    • 2004
  • This paper proposes a new framework for control system design, called the data-based control approach or data space approach, in which the input and output data of a dynamical system is directly and solely used to analyze or design a control system without the employment of any mathematical models like transfer functions, state space equations, and kernel representations. Since, in this approach, most of the analysis and design processes are carried out in the domain of the data space, we introduce some notions of geometrical objects, e.g., the openloop and closed-loop data spaces, which serve as the system representations in the data space. In addition, we establish a relationship between the open-loop and closed-loop data spaces that the closed-loop data space is contained in the open-loop data space as one of its subspaces. By using this relationship, we can derive the data-based stabilization condition for a linear time-invariant discrete-time system, which leads to a linear matrix inequality with a rank constraint.

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The construction of a PLC simulator for level control (유량 제어을 위한 PLC 시뮬레이터 구성)

  • Lee, Gi-Bum;Yoon, Woo-Sik;Jeong, Hee-Don;Lee, Jin-S.
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2605-2607
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    • 2000
  • This paper represents the construction of a PLC simulator for the level control of water and the speed control of the water cask. The level and speed processes are automatically operated by the PLC. The simulator system consists of PLC, program loader and control penal. The digital input and output units make the valves of the water cask the On or Off state. The analog input and output units control the level of water and the speed of the water cask. A LD program is used in the control language of PLC.

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An analysis and control of double chopper DC-DC converter (이중 쵸퍼 DC-DC 컨버터의 해석과 제어)

  • Han, Sang-Wan;Sin, Dong-Hee;Hong, Seok-Gyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.6
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    • pp.576-581
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    • 1997
  • DC-DC converter with chopper is seen to have problems, such as, loop instability and degradation of transient response, due to the interaction between input filter and switching regulator. In this paper, the switching regulator consisting of input filter and double chopper is analyzed, and the state space model at continuous current mode and the transfer function between duty ratio of switching pulse and output voltage are derived. The controller in this paper is designed as feedforward(P) and feedback(PI) control scheme to minimize the variation of output voltage, and computer simulation results are presented to show the performance of the proposed controller.

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A study on the power system stabilizer using discrete-time adaptive sliding mode control (이산 적응슬라이딩 모드 제어를 이용항 전력계통 안정화 장치에 관한 연구)

  • Park, Young-Moon;Kim, Wook
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.2
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    • pp.175-184
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    • 1996
  • In this paper the newly developed discrete-time adaptive sliding mode control method is proposed and applied to the power system stabilization problem. In contrast to the conventional continuous-time sliding mode controller, the proposed method is developed in the discrete-time domain and based on the input/output measurements instead of the continuous-time and the full-states feedback, respectively. Because the proposed control method has the adaptivity property in addition to the natural robustness property of the sliding mode control, it is possible to design the power system stabilizer which can overcome both the minor variations of the parameters of the power system and the diverse operating conditions and faults of the power system. Mathematical proof and the various computer simulations are done to verify the performance and stability of the proposed method.

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