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Closed-Form Formulas for Continuous/Discrete-Time PID Controllers’ Parameters
Numchai Narkvitul,Prapart Ukakimaparn,Thanit Trisuwannawat 제어로봇시스템학회 2014 제어로봇시스템학회 국제학술대회 논문집 Vol.2014 No.10
This paper proposes the formulas for finding the Proportional gain, Integral gain and Derivative gain simultaneously of the PID controllers in both continuous-time and discrete-time systems. Once, the satisfied PID controller in continuous-time system is obtained. Then, just discretises it by using trapezoidal approximation or bilinear transformation, the discrete-time PID controller is easily achieved as well. The results from simulations revealed that this discrete-time controller provides a faster response than the continuous-time case.
Closed-Form Formulas for Continuous/Discrete-Time PIDA Controllers’ Parameters
Numchai Narkvitul,Prapart Ukakimaparn,Pittaya Pannil,Thanit Trisuwannawat 제어로봇시스템학회 2015 제어로봇시스템학회 국제학술대회 논문집 Vol.2015 No.10
This paper proposes the closed-form formulas used for finding the controllers’ parameters for both continuous-time and discrete-time PIDA (Proportional-Integral-Derivative-Acceleration) controllers. The derivations to formulate the formula are given in vector-matrix forms. The examples of usage the closed-form formulas for a third order plant are illustrated. Comparing with other previous research work, revealed that at the same performances, the using it is straightforward, simpler without iterative computation and also be opened to use too.