Computation of the frequency response of interval systems

Chaos and Dynamics Induced by the Amplitude of Load Torque: Analysis and Control

“…e PMSM offers high-performance drive when uses torques due the magnets and reluctance variation; note that the machine has a problem of high speed [2]. e dynamics characteristics, speed control, and oscillations of different types of motor and generator are studies since references [3][4][5][6][7][8][9]. Recently, literature works have been focused on non-nonlinear phenomena arising in PMSM electrical machine [10][11][12][13].…”

An improvement of QFT plant template generation for systems with affinely dependent parametric uncertainties

“…With the fact that the value sets of the numerator and denominator of an interval plant at a fixed frequency are two independent rectangles, Bailey et al [5] proposed a phase-angle sweeping technique for computing the boundary of a plant template. Based on a geometric interpretation of the plant templates of an interval plant, Hwang and Chen [11] applied a modified Cohen-Sutherland algorithm along with a pivoting procedure to trace out the approximate boundary of a plant template.…”

“…Third, critical points of the template may be missed. In recent years, several efficient algorithms [4][5][6][7][8][9][10][11][12][13][14] have been developed for generating plant templates for transfer functions with special forms of parameter dependencies. For an interval plant, i.e., the coefficients of the transfer function are defined on intervals of the real axis, Bartlett et al [7] showed that the boundary of a plant template is covered by the value sets of 32 one-parameter segment plants.…”

Template generation for continuous transfer functions using interval analysis

“…However, these existing template generation methods (with the exception of grid-based ones) are restricted in scope to particular kinds of correlations and dependencies in the system parameters: independent parameters (Bailey, Panzer & Gu, 1988;Fialho, Pande & Nataraj, 1992;Hwang & Chen, 1995;Lan, 1994); a$ne parametric dependency (Bailey & Hui, 1989;Bartlett, 1990;Fu, 1990); multi-linear dependency (Bhattacharyya et al, 1995); and special nonlinear dependency (Barmish & Tempo, 1995). Further, in these methods there are inherent restrictions to transfer functions of particular forms, such as rational, tree-structured decomposable (Barmish, Ackermann & Hu, 1990;Ackermann & Sienel, 1991;Eszter & Pena, 1994); factored real form (Gutman, Baril & Neumann, 1994), and other forms (Fu, Dasgupta & Blondel, 1995;Isogai, Ohta & Haneda, 1993;Ohta, 1996;Ohta, Gong & Haneda, 1994).…”