Variable-structure controller design for electric drives with variable-torque load

• Published in: IOP conference series. Earth and environmental science 2024-12, Vol.1415 (1), p.012105
• Main Authors: Voliansky, R, Zaliskyi, M, Ostroumov, I, Averyanova, Y, Holubnychyi, O, Sushchenko, O, Znakovska, Y, Pogurelsky, O
• Format: Article
• Language: English
• Subjects: Control systems; Control systems design; Controllers; Design; Dynamic structural analysis; Electric drives; Energy efficiency; Genetic transformation; Nonlinear control; Nonlinear differential equations; Nonlinear dynamics; Nonlinear systems; Nonlinearity; Plant layout; System dynamics; Transfer functions; Variable structure control
• ISSN: 1755-1307; 1755-1315
• DOI: 10.1088/1755-1315/1415/1/012105

The paper is devoted to the design of a framework to study uncertain nonlinear dynamical plants. We use the results of this study to design a variable-structure control system for the considered plants. Our studies are based on the use of interval methods to take into account possible plant parameters variations and perform a piecewise linear approximation of the plant’s nonlinearity. We offer to replace a nonlinear function, which is used to define a plant’s dynamic with a phase space domain where this function is localized. This allows us to rewrite the initial nonlinear differential equation into piecewise linear form and apply the Laplace-Carson transformation for the considered differential equation to define the generalized transfer function which gives us the possibility to study and design system dynamics. We use a determined piecewise linear interval transfer function to solve the inverse dynamic problem and define the controller’s transfer function which allows for reaching the desired motion tra jectories. We show the use of our approach and its benefits by designing a controller for a ventilator electric drive. Comparison of the designed control system with the known one allows us to claim its high accuracy and energy efficiency.