Open AccessHIGHER-ORDER SLIDING MODE DYNAMICS DESIGN FOR A CLASS OF SINGLE-INPUT LINEAR SYSTEMS
Author(s) -
Boban Veselić
Publication year - 2020
Publication title -
facta universitatis. series: automatic control and robotics
Language(s) - English
Resource type - Journals
eISSN - 1820-6425
pISSN - 1820-6417
DOI - 10.22190/fuacr2002103v
Subject(s) - invertible matrix , control theory (sociology) , class (philosophy) , sliding mode control , mode (computer interface) , dynamics (music) , manifold (fluid mechanics) , mathematics , computer science , order (exchange) , nonlinear system , engineering , physics , pure mathematics , artificial intelligence , control (management) , mechanical engineering , finance , quantum mechanics , acoustics , economics , operating system
The paper considers a higher-order sliding mode dynamics design in a class of single-input linear systems having the invertible system matrix. The proposed sliding manifold selection method simultaneously provides a necessary relative degree of the sliding variable for a specific sliding mode order and the desired system dynamics after establishing that sliding mode. It is shown that the found unique solution satisfies these requirements. The theoretically obtained result is validated through a numerical example and illustrated by digital simulations.