Control Systems with Vector Relays
- Authors: Utkin V.I.1, Orlov Y.V.2,3
- 
							Affiliations: 
							- The Ohio State University
- CICESE
- Trapeznikov Institute of Control Sciences
 
- Issue: Vol 80, No 9 (2019)
- Pages: 1671-1680
- Section: Topical Issue
- URL: https://journals.rcsi.science/0005-1179/article/view/151167
- DOI: https://doi.org/10.1134/S000511791909008X
- ID: 151167
Cite item
Abstract
The paper presents the evolution of discontinuous control systems starting from a relay with only two output constant values. The relay systems were widely used at the early stage of the feedback control system history. The analysis and design methods for them were developed by Ya. Tsypkin and discussed in his monograph “Theory of relay control systems,” published in 1956. It is shown how a relay function is modified in the so-called variable structure systems, when the relay output cab be equal to one of two continuous state functions. The next step is made in the framework of variable structure systems with vector control. The design procedure for systems with vector relay control relies on selection of a discontinuity surface for each control component. High efficiency of such designed systems results from enforcing sliding modes on the surfaces. Finally, the vector relay unit control is offered. The method is free of the component-wise design and proved to be applicable for infinite-dimensional systems.
Keywords
About the authors
V. I. Utkin
The Ohio State University
							Author for correspondence.
							Email: autkin.2@osu.edu
				                					                																			                												                	United States, 							Columbus						
Yu. V. Orlov
CICESE; Trapeznikov Institute of Control Sciences
							Author for correspondence.
							Email: byorlov@cicese.mx
				                					                																			                												                	Mexico, 							Ensenada; Moscow						
Supplementary files
 
				
			 
					 
						 
						 
						 
						 
				 
  
  
  
  
  Email this article
			Email this article  Open Access
		                                Open Access Access granted
						Access granted Subscription Access
		                                		                                        Subscription Access
		                                					