Identification of nonlinear block-oriented systems with backlash and saturation

Performance of Fractional PID Algorithms Control- ling Nonlinear Systems with Saturation and Backlash Phenomena

The development of fractional-order controllers is currently one of the most promising fields of research. However, most of the work in this area addresses the case of linear systems. This paper reports on the analysis of fractional-order control of nonlinear systems. The performance of discrete fractional-order PID controllers in the presence of several nonlinearities is discussed. Some result...

Parametric Identification of Systems with General Backlash

The notion of general backlash is introduced where instead of the straight lines determining the upward and downward parts of backlash characteristic general curves are considered. An analytic form of general backlash characteristic description is proposed, which is based on appropriate switching and internal functions. Consequently, this multi-valued mapping is represented by one difference eq...

Identification of block-oriented systems in the presence of nonparametric input nonlinearities of switch and backlash types

Orthonormal Basis and Radial Basis Functions in Modeling and Identification of Nonlinear Block-Oriented Systems

Nonlinear block-oriented systems, including the Hammerstein, Wiener and feedbacknonlinear systems have attracted considerable research interest both from the industrial and academic environments (Bai, 1998), (Greblicki, 1989), (Latawiec, 2004), (Latawiec et al., 2003), (Latawiec et al., 2004), (Pearson & Pottman, 2000). It is well known that orthonormal basis functions (OBF) (Bokor et al., 1999...

Chaotification for a Class of Nonlinear Systems with Backlash Functions

The problem of creating chaos for a class of nonlinear systems with backlash function is studied in this paper. By utilizing the characteristic of backlash function, some criteria for guaranteing the nonlinear system to be horseshoe type of chaos are derived based on S̆i’lnikov heterclinic theorem and S̆i’lnikov homoclinic theorem. Examples and simulations are given to illustrate the effectivenes...