Linear Systems and Higher-Order Equations: Arms Races and Feedback Processes

2011 ◽  
pp. 46-65 ◽  
2004 ◽  
Vol 17 (12) ◽  
pp. 1375-1380 ◽  
Author(s):  
G. Kalogeropoulos ◽  
P. Psarrakos

2020 ◽  
Vol 19 (2) ◽  
pp. 103
Author(s):  
Boban Veselić

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.


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