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      • Auto Tuning Sequence of Thermal MIMO System

        Yusuke Hirama,Hiroto Hamane,Kazuyoshi Miyazaki 제어로봇시스템학회 2011 제어로봇시스템학회 국제학술대회 논문집 Vol.2011 No.10

        A multi-input multi-output (MIMO) temperature controlled system sets up several single-input single-output (SISO) controllers. Generally, the SISO controllers are operated as a decentralized control system. The problem for the MIMO system is PID tuning sequence of the SISO controllers (e.g., which loop is tuned first). A controlled performance and tact time for PID tuning of the MIMO system depend on the sequence. The tuning sequence is decided by the experience and the perception of user. This paper presents an evaluation function for decision of the best PID tuning sequence by using rate of temperature rise and thermal difference of each channel. The proposed method is verified by comparing the sequences based on the evaluation function, Relative Gain Array (RGA) and Dynamic Relative Gain Array (DRGA). The best sequence based on proposed method considers a dynamics of process. Experimental results show that tact time for tuning can be reduced and the best PID parameters for uniform temperature control can be tuned by the proposed method.

      • Closed Loop Modelling Method for Non-linear System Using Laguerre Polynomials

        Yusuke Hirama,Hiroto Hamane,Fujio Hiroki 제어로봇시스템학회 2010 제어로봇시스템학회 국제학술대회 논문집 Vol.2010 No.10

        This paper presents a modelling method for noisy response data of a closed loop with a PI controller. A general pre-£ltering procedure is not required in this method. A three-step procedure for estimating Laplace transfer function of a process is proposed. The true closed loop response is estimated from noisy response data, exploiting orthonormal properties of Laguerre functions. Then the closed loop transfer function model (called the Laguerre model) is represented by Laplace transforms of Laguerre polynomials approximated to a true response. Lastly, the process transfer function model is computed from the Laguerre model and the PI controller. PI parameters are given by gain constant, time constant and dead time of process approximated to £rst-order lag element plus dead-time system. Using this algorithm, the process model is estimated only by the settling time of response data. Simulation and experiment results show that the proposed method is effective for non-linear systems in modelling.

      • PID Optimization Tuning and Reduction of Calculation Time based on Maximum Sensitivity

        Tomoya Takagi,Yusuke Hirama,Masakatsu Harita,Hiroto Hamane,Kazuyoshi Miyazaki 제어로봇시스템학회 2011 제어로봇시스템학회 국제학술대회 논문집 Vol.2011 No.10

        This paper presents one parameter tuning of PID parameters considering the trade off problem of load disturbance and robustness. And its reduction method for computer calculation is also proposed in this paper. One parameter PID tuning method has been proposed by using maximum sensitivity. PID parameters are calculated by using geometric relationship between circle Ms and L(jw). Several PID parameters are calculated considering the non-convex optimization problem of assessment function. For the performance of disturbance vs robustness, PID parameters are optimized by using integrated absolute error. However, the optimization time is long. Therefore, this paper presents a method to reduce the search range by geometric relationship. Calculation benchmark result shows that the proposed method is effective.

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