Control system design based on a nonlinear first-order plus time delay model

Time-Varying FOPDT Modeling and On-line Parameter Identification

“…Some similar TV-FOPDT models have also been observed in a number of nonlinear control applications, such as Brazauskas and Levisauskas (2007); Lee et al (1997); Kwok et al (1997); Richard (2003). For instance, the similar model used in Brazauskas and Levisauskas (2007) is called an adaptive transfer function.…”

“…This adaptive model is obtained by linearizing the nonlinear dynamic description at each sampling time, so that the system parameters are (sampling) time dependent. Lee et al (1997) proposed a nonlinear FOPDT model by linearizing the nonlinear system at a number of different operating points, so that the system parameters of this type of FOPDT are operating-point dependent. No matter through which way to linearize the considered nonlinear system, both models and modeling approaches request a precise nonlinear system description beforehand.…”

“…An on-line identification approach of a time dependent FOPDT is proposed in Kwok et al (1997), by using the so-called long-range predictive identification method. However, due to the technical limitation, the considered unknown time-delay in Lee et al (1997) is classified 13th IFAC Symposium on Large Scale Complex Systems: Theory and Applications Shanghai Jiao Tong University Shanghai, China, July 7-10, 2013 WeB02.2 into four different potential scenarios before converting a nonlinear identification optimization problem into a LeastSquare (LS) problem using the spectral factorization technique.…”

Yapay Ari Koloni̇si̇ Algori̇tmasi İle Opti̇mi̇ze Edi̇len Hammerstein Model Kullanarak Si̇stemleri̇n Ki̇mli̇klendi̇ri̇lmesi̇

“…It's because this model is useful in simple effective control systems. Besides the usefulness in applications, this model is also preferred because of the effective predict of a wide nonlinear process [34,35]. Hammerstein model is firstly suggested by Narendra and Gallman in 1966 and various models are tested to improve the model [36][37][38][39].…”

Nonlinear PI controllers with output transformations

“…Rugh 14 proposed nonlinear PI controllers that track Ziegler-Nichols PI control systems for changing set points. Lee et al 15 proposed nonlinear control systems based on parameterized first-order plus time delay process models. Wright et al 16 proposed nonlinear PI controllers based on a nonlinear firstorder model, whose linearized closed-loop systems are the same as internal model control (IMC) PI control systems for given operating points.…”